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Articles published on Cyclic Oscillation

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  • Research Article
  • Cite Count Icon 1
  • 10.1016/j.jcis.2025.139757
Aging dynamics of bulk nanobubbles under pressure oscillations.
  • Apr 1, 2026
  • Journal of colloid and interface science
  • Yuhan Li + 4 more

Aging dynamics of bulk nanobubbles under pressure oscillations.

  • Research Article
  • 10.3389/fmars.2026.1783157
A significant wave height prediction method combining VMD decomposition and the GVSAO-CNN-BiGRU-SA model
  • Mar 16, 2026
  • Frontiers in Marine Science
  • Zongquan Ying + 4 more

To improve the accuracy and robustness of significant wave height prediction under complex marine conditions, a multi-strategy Snow Ablation Optimization (GVSAO) model based on the Good Point Set Initialization Strategy (G), Cyclic Oscillation Mutation Strategy (V), and Snow Ablation Optimizer (SAO) is proposed to enhance parameter optimization. The GVSAO model combines Convolutional Neural Networks (CNN), Bidirectional Gated Recurrent Units (BiGRU), and a Self-Attention Mechanism (SA) to construct the GVSAO-CNN-BiGRU-SA framework, which fully exploits the nonlinear characteristics of wave height time series. The study utilizes observed data from two observation points along the U.S. East Coast to the Gulf of Mexico (Stations 41013 and 42002) as well as from the Arabian Sea (Station 23020) and the Pacific Ocean (Station 46044). Comparative experiments on input feature combinations reveal that Intrinsic Mode Function (IMF) components derived from Variational Mode Decomposition (VMD) contribute more significantly to prediction accuracy than single physical features by effectively capturing dynamic time-frequency characteristics. The results demonstrate that the GVSAO model outperforms SAO, GSAO, and VSAO in terms of global exploration and stability, as validated by performance comparisons on the CEC2005 benchmark functions. Compared with the BiGRU model, the GVSAO-CNN-BiGRU-SA model exhibited superior performance, with RMSE reduced by 44.01% at Station 41013 and 15.12% at Station 42002. Similarly, it outperformed the CNN-BiGRU and CNN-BiGRU-SA models across all key metrics. The model achieved high-accuracy predictions in diverse marine environments, with relative mean errors within 0.5472%, RMSE within 0.1064 m, and correlation coefficients (R2) exceeding 0.99. Furthermore, in multi-step forecasting (3 to 48 hours), the model maintained high reliability with R2 values remaining above 0.84 across diverse geographic environments. The GVSAO-CNN-BiGRU-SA model provides a reliable solution for wave height prediction, contributing to marine engineering early warnings and energy utilization.

  • Research Article
  • 10.3847/1538-4357/ae3757
A Comprehensive Photometric Study of the Eclipsing SU UMa-type Cataclysmic Variable OY Carinae
  • Feb 11, 2026
  • The Astrophysical Journal
  • Zhong-Tao Han + 7 more

Abstract We present a comprehensive photometric study of the eclipsing dwarf nova OY Car based on ground-based observations and archival data from the Transiting Exoplanet Survey Satellite (TESS) and AAVSO. Eclipse timing analysis reveals a secular increase in the orbital period at a rate of +5.70 × 10 −13 s s −1 , superimposed with a cyclic variation with an amplitude of 57.11 s and a period of 33.41 yr. This period increase cannot be attributed to either mass transfer or a period bouncer, suggesting the presence of an unrecognized mechanism. The cyclic oscillation is most effectively interpreted as a gravitational perturbation from an undetected circumbinary object. The potential tertiary companion is estimated to be a giant planet with a mass of 11.5(±3.1) M Jup in a circular orbit. The TESS light curve captures one superoutburst and one normal outburst. Analysis of the eclipse depth versus the out-of-eclipse flux reveals a linear correlation during quiescence, but with a lower slope before the superoutburst, consistent with disk structure changes predicted by the thermal-tidal instability model. Deviations from linearity during outbursts manifest as hysteresis loops, indicative of significant disk expansion. Eclipse analysis reveals that the normal outburst is of the outside-in type, while the superoutburst exhibits a quasi-periodic O – C modulation indicating a precessing eccentric disk. We derive a mean superhump period of 0.06456 day via the beat relation, which yields a mass ratio of q = 0.1049 using an empirical relation. We also study the superhump evolution, identifying the standard three-stage evolution. The positive period derivative in stage B and the discrepancy between dynamical and empirical mass ratio estimates confirm the significant influence of pressure effects on the accretion disk precession.

  • Research Article
  • 10.1016/j.taap.2025.117338
Aminooxyacetic acid up-regulates the Cry1 and Bmal1 clock gene in a sirtuin 1 dependent manner. In vitro study.
  • Jun 1, 2025
  • Toxicology and applied pharmacology
  • Maria Romerowicz-Misielak + 4 more

Aminooxyacetic acid up-regulates the Cry1 and Bmal1 clock gene in a sirtuin 1 dependent manner. In vitro study.

  • Research Article
  • Cite Count Icon 9
  • 10.1088/1741-2552/ad7f8b
Epidural spinal cord recordings (ESRs): sources of neural-appearing artifact in stimulation evoked compound action potentials
  • Feb 1, 2025
  • Journal of Neural Engineering
  • Ashlesha Deshmukh + 21 more

Objective. Evoked compound action potentials (ECAPs) measured during epidural spinal cord stimulation (SCS) can help elucidate fundamental mechanisms for the treatment of pain and inform closed-loop control of SCS. Previous studies have used ECAPs to characterize neural responses to various neuromodulation therapies and have demonstrated that ECAPs are highly prone to multiple sources of artifact, including post-stimulus pulse capacitive artifact, electromyography (EMG) bleed-through, and motion artifact. However, a thorough characterization has yet to be performed for how these sources of artifact may contaminate recordings within the temporal window commonly used to determine activation of A-beta fibers in a large animal model.Approach. We characterized sources of artifacts that can contaminate the recording of ECAPs in an epidural SCS swine model using the Abbott Octrode™ lead.Main results. Spinal ECAP recordings can be contaminated by capacitive artifact, short latency EMG from nearby muscles of the back, and motion artifact. The capacitive artifact can appear nearly identical in duration and waveshape to evoked A-beta responses. EMG bleed-through can have phase shifts across the electrode array, similar to the phase shift anticipated by propagation of an evoked A-beta fiber response. The short latency EMG is often evident at currents similar to those needed to activate A-beta fibers associated with the treatment of pain. Changes in CSF between the cord and dura, and motion induced during breathing created a cyclic oscillation in all evoked components of recorded ECAPs.Significance. Controls must be implemented to separate neural signal from sources of artifact in SCS ECAPs. We suggest experimental procedures and reporting requirements necessary to disambiguate underlying neural response from these confounds. These data are important to better understand the framework for epidural spinal recordings (ESRs), with components such as ECAPs, EMG, and artifacts, and have important implications for closed-loop control algorithms to account for transient motion such as postural changes and cough.

  • Research Article
  • Cite Count Icon 3
  • 10.1088/1674-4527/ada424
O’Connell Effect and Period Variations on Solar-like Contact Binary EF Boo
  • Jan 27, 2025
  • Research in Astronomy and Astrophysics
  • Jing-Jing Wang + 3 more

Abstract Using ground-based telescopes, the multi-color photometric observations of the contact binary EF Boo were obtained in 2020, 2023, and 2024. Combining these with 7-sectors of light curves from TESS data, the variations of the O'Connell effect in continuous time and shapes of light curves over several years were identified. Three sets of typical light curves were analyzed to determine the photometric solutions via the Wilson–Devinney program. Considering the spectroscopic mass ratio of q = 0.53, these photometric solutions suggest that EF Boo is a W-type W UMa contact binary with the averaged filling factor of f = 22.26%, a small temperature difference, and a cool spot on the primary component. If the variations of the O'Connell effect are due to the magnetic activity of this cool spot, the longitudinal location varied from 50 . ° 4 to 302 . ° 7 over the time interval of 1434 days. Based on all CCD minimum times from ground-based telescope and TESS data, the O − C curve was also analyzed. A cyclic oscillation (A 3 = 0.00575 days, T 3 = 27.8 yr) superimposed on a secular increase (dP/dt = 6.74 × 10−8 day yr−1) was discovered for the first time. The successive increase is possibly a result of mass transfer from the less massive star to the more massive one. The cyclic oscillations were possibly explained by the light-travel time effect via a third body or the magnetic activities. From the short cadence observations from TESS, we also calculated the value of the O'Connell effect and O − C value for each cycle and found no correlation between the O'Connell effect and O − C over nearly 30 days across different sectors.

  • Research Article
  • 10.1016/j.newast.2024.102318
Photometric study for the short period contact binary V724 And
  • Oct 31, 2024
  • New Astronomy
  • Bin Zhang + 3 more

Photometric study for the short period contact binary V724 And

  • Research Article
  • 10.7554/elife.91605.3
Novel cyclic homogeneous oscillation detection method for high accuracy and specific characterization of neural dynamics
  • Sep 6, 2024
  • eLife
  • Hohyun Cho + 3 more

Determining the presence and frequency of neural oscillations is essential to understanding dynamic brain function. Traditional methods that detect peaks over 1/f noise within the power spectrum fail to distinguish between the fundamental frequency and harmonics of often highly non-sinusoidal neural oscillations. To overcome this limitation, we define fundamental criteria that characterize neural oscillations and introduce the cyclic homogeneous oscillation (CHO) detection method. We implemented these criteria based on an autocorrelation approach to determine an oscillation’s fundamental frequency. We evaluated CHO by verifying its performance on simulated non-sinusoidal oscillatory bursts and validated its ability to determine the fundamental frequency of neural oscillations in electrocorticographic (ECoG), electroencephalographic (EEG), and stereoelectroencephalographic (SEEG) signals recorded from 27 human subjects. Our results demonstrate that CHO outperforms conventional techniques in accurately detecting oscillations. In summary, CHO demonstrates high precision and specificity in detecting neural oscillations in time and frequency domains. The method’s specificity enables the detailed study of non-sinusoidal characteristics of oscillations, such as the degree of asymmetry and waveform of an oscillation. Furthermore, CHO can be applied to identify how neural oscillations govern interactions throughout the brain and to determine oscillatory biomarkers that index abnormal brain function.

  • Open Access Icon
  • Research Article
  • Cite Count Icon 2
  • 10.7554/elife.91605
Novel cyclic homogeneous oscillation detection method for high accuracy and specific characterization of neural dynamics.
  • Sep 6, 2024
  • eLife
  • Hohyun Cho + 3 more

Determining the presence and frequency of neural oscillations is essential to understanding dynamic brain function. Traditional methods that detect peaks over 1/f noise within the power spectrum fail to distinguish between the fundamental frequency and harmonics of often highly non-sinusoidal neural oscillations. To overcome this limitation, we define fundamental criteria that characterize neural oscillations and introduce the cyclic homogeneous oscillation (CHO) detection method. We implemented these criteria based on an autocorrelation approach to determine an oscillation's fundamental frequency. We evaluated CHO by verifying its performance on simulated non-sinusoidal oscillatory bursts and validated its ability to determine the fundamental frequency of neural oscillations in electrocorticographic (ECoG), electroencephalographic (EEG), and stereoelectroencephalographic (SEEG) signals recorded from 27 human subjects. Our results demonstrate that CHO outperforms conventional techniques in accurately detecting oscillations. In summary, CHO demonstrates high precision and specificity in detecting neural oscillations in time and frequency domains. The method's specificity enables the detailed study of non-sinusoidal characteristics of oscillations, such as the degree of asymmetry and waveform of an oscillation. Furthermore, CHO can be applied to identify how neural oscillations govern interactions throughout the brain and to determine oscillatory biomarkers that index abnormal brain function.

  • Open Access Icon
  • PDF Download Icon
  • Research Article
  • 10.1101/2023.10.04.560843
Novel Cyclic Homogeneous Oscillation Detection Method for High Accuracy and Specific Characterization of Neural Dynamics
  • Mar 23, 2024
  • bioRxiv
  • Hohyun Cho + 3 more

Detecting temporal and spectral features of neural oscillations is essential to understanding dynamic brain function. Traditionally, the presence and frequency of neural oscillations are determined by identifying peaks over 1/f noise within the power spectrum. However, this approach solely operates within the frequency domain and thus cannot adequately distinguish between the fundamental frequency of a non-sinusoidal oscillation and its harmonics. Non-sinusoidal signals generate harmonics, significantly increasing the false-positive detection rate — a confounding factor in the analysis of neural oscillations. To overcome these limitations, we define the fundamental criteria that characterize a neural oscillation and introduce the Cyclic Homogeneous Oscillation (CHO) detection method that implements these criteria based on an auto-correlation approach that determines the oscillation’s periodicity and fundamental frequency. We evaluated CHO by verifying its performance on simulated sinusoidal and non-sinusoidal oscillatory bursts convolved with 1/f noise. Our results demonstrate that CHO outperforms conventional techniques in accurately detecting oscillations. Specifically, we determined the sensitivity and specificity of CHO as a function of signal-to-noise ratio (SNR). We further assessed CHO by testing it on electrocorticographic (ECoG, 8 subjects) and electroencephalographic (EEG, 7 subjects) signals recorded during the pre-stimulus period of an auditory reaction time task and on electrocorticographic signals (6 SEEG subjects and 6 ECoG subjects) collected during resting state. In the reaction time task, the CHO method detected auditory alpha and pre-motor beta oscillations in ECoG signals and occipital alpha and pre-motor beta oscillations in EEG signals. Moreover, CHO determined the fundamental frequency of hippocampal oscillations in the human hippocampus during the resting state (6 SEEG subjects). In summary, CHO demonstrates high precision and specificity in detecting neural oscillations in time and frequency domains. The method’s specificity enables the detailed study of non-sinusoidal characteristics of oscillations, such as the degree of asymmetry and waveform of an oscillation. Furthermore, CHO can be applied to identify how neural oscillations govern interactions throughout the brain and to determine oscillatory biomarkers that index abnormal brain function.

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  • Research Article
  • Cite Count Icon 13
  • 10.1111/ffe.14259
Influence of pulse duration on the fatigue behavior of a carbon‐fiber‐reinforced composite under cyclic three‐point bending at 20 kHz
  • Feb 22, 2024
  • Fatigue & Fracture of Engineering Materials & Structures
  • Aravind Premanand + 1 more

Abstract Very high cycle fatigue (VHCF) experiments are limited in practice due to their long testing times. In ultrasonic fatigue test (UFT) systems, the cyclic oscillation is applied using resonance at 20 kHz with a pulse and pause sequence. However, determining optimal pulse durations to achieve minimal testing time and avoid thermal‐induced fatigue damage in fiber‐reinforced polymer composites remains a challenge. In this work, several fatigue experiments, temperature analyses, and digital light optical microscopy were carried out to evaluate the influence of pulse duration on the fatigue behavior of a carbon‐fiber fabric reinforced in polyether‐ketone‐ketone (CF‐PEKK) composite. A shorter pulse duration with the same pulse–pause ratio as the longer pulse duration is proposed for higher stress amplitudes to avoid any thermal influence during mechanical fatigue without altering the underlying fatigue damage mechanisms.

  • Research Article
  • Cite Count Icon 6
  • 10.1088/1674-4527/ad1367
Periodic Variation Studies of the Two Short Period W UMa-type Eclipsing Binaries: LX Lyn and V0853 Aur
  • Jan 1, 2024
  • Research in Astronomy and Astrophysics
  • Xu Zhang + 1 more

In this paper, new light curves (LCs) of contact eclipsing binary (CEB) systems LX Lyn and V0853 Aur are presented and analyzed by using the 2015 version of the Wilson–Devinney (W-D) code. In order to explain their asymmetric LCs, cool starspots on the components were employed. It is suggested that their fill-out degrees are f = 12.0% (LX Lyn) and f = 26.3% (V0853 Aur). At the same time, we found that LX Lyn is a W-type eclipsing binary (EB) with an orbital inclination of i = 84.°88 and a mass ratio of q = 2.31. V0853 Aur is also a W-type CEB with a mass ratio of q = 2.77 and an orbital inclination of i = 79.°26. Based on all available times of light minimum, their orbital period changes are studied by using the O − C method. The O − C diagram of LX Lyn reveals a cyclic oscillation with a period of about 14.84 yr and an amplitude of 0.0019 days, which can be explained by the light-travel time effect (LTTE) due to the presence of a third body with a minimum mass of 0.06M ⊙. For V0853 Aur, it is discovered that the O − C diagram of the system also shows a cyclic oscillation with a period of 9.64 yr and an amplitude of 0.03365 days. The cyclic oscillation of V0853 Aur can be attributed to the LTTE by means of a third body with a mass no less than 3.77M ⊙. The third body may play an important role in the formation and evolution of these systems.

  • Open Access Icon
  • Research Article
  • Cite Count Icon 62
  • 10.1103/physrevlett.131.243601
Magnonic Frequency Comb in the Magnomechanical Resonator.
  • Dec 11, 2023
  • Physical Review Letters
  • Guan-Ting Xu + 5 more

An optical frequency comb is a spectrum of optical radiation which consists of evenly spaced and phase-coherent narrow spectral lines and is initially invented in a laser for frequency metrology purposes. A direct analog of frequency combs in the magnonic systems has not been demonstrated to date. In our experiment, we generate a new magnonic frequency comb in the resonator with giant mechanical oscillations through the magnomechanical interaction. We observe the magnonic frequency comb contains up to 20 comb lines, which are separated by the mechanical frequency of 10.08MHz. The thermal effect based on the strong pump power induces the cyclic oscillation of the magnon frequency shift, which leads to a periodic oscillation of the magnonic frequency comb. Moreover, we demonstrate the stabilization and control of the frequency spacing of the magnonic frequency comb via injection locking. Our Letter lays the groundwork for magnonic frequency combs in the fields of sensing and metrology.

  • Open Access Icon
  • Research Article
  • Cite Count Icon 5
  • 10.1063/5.0173603
Numerical investigation of oblique detonation waves on a truncated cone in hydrogen–air mixtures
  • Nov 1, 2023
  • Physics of Fluids
  • Lin Zhou + 4 more

Traditional methods of initiating oblique detonation waves (ODWs) using wedges and cones face a fundamental challenge in reconciling the need for rapid initiation with stable combustion, especially at low flight Mach numbers (Ma < 8). This study introduces an innovative initiation configuration involving a truncated cone. By utilizing Euler equations coupled with detailed hydrogen–air chemical reaction models, the wave dynamics induced by the truncated cone configuration are systematically explored. The findings reveal that the truncated cone configuration enables more rapid initiation of ODWs compared to conventional cones, while also preserving improved stability when contrasted with wedge. This behavior can be attributed to the planar flow characteristics in the post-shock field of truncated cone, generated by the upstream wedge-shaped shock, and the Taylor–Maccoll flow characteristics, caused by the downstream conical shock. Furthermore, the study delves into the initiation and morphological changes with respect to the inner radius and angle of the truncated cone. As inner radii or truncated cone angle increase, three initiation wave systems emerge: stable, oscillatory, and detached modes. Analysis of the dynamic variations in pressure and velocity within the induction zone highlights that the upstream oscillation originates from the flow velocity in the induction zone falling below the local Chapman–Jouguet velocity of normal detonation wave (NDW). However, the upstream region of the truncated cone exhibits more pronounced expansion effects, leading to momentum loss, and subsequently, the weakening and even vanishing of the NDW. This prompts the downstream oscillation of the initiation structure, instigating a cyclic oscillation pattern.

  • Research Article
  • Cite Count Icon 2
  • 10.1016/j.newast.2023.102136
Magnetic activity on two contact binaries: VW Boo and V1128 Tau from TESS data
  • Oct 18, 2023
  • New Astronomy
  • Quan-Wang Han + 1 more

Magnetic activity on two contact binaries: VW Boo and V1128 Tau from TESS data

  • Research Article
  • Cite Count Icon 17
  • 10.1016/j.oregeorev.2023.105699
Ab-initio calculations and molecular dynamics simulations of In, Ag, and Cu replacing Zn in sphalerite: Implications for critical metal mineralization
  • Sep 25, 2023
  • Ore Geology Reviews
  • Fan Xiao + 2 more

Ab-initio calculations and molecular dynamics simulations of In, Ag, and Cu replacing Zn in sphalerite: Implications for critical metal mineralization

  • Research Article
  • Cite Count Icon 1
  • 10.1088/1674-4527/acc14f
New Photometric Investigations of G-type Contact Binary TU Boo
  • Mar 30, 2023
  • Research in Astronomy and Astrophysics
  • Jing-Jing Wang + 3 more

Two sets of CCD photometric observations for contact binary TU Boo were obtained in 2020 and 2021. Different from its asymmetric light curves published from the literature, our BVR c I c -band curves show that the heights of maximum are almost equal. These distortions of light curves possibly indicate that the components were active in past 25 yr, but they were stable in the last two years. For total-eclipse binary TU Boo, due to some star-spots on the surface of the components, the physical structure obtained by many investigators are different. Therefore, the symmetric multi-color light curves in 2020, 2021 are important for understanding configuration and evolution of this system. By using the Wilson–Devinney program, it is confirmed that TU Boo is an A-type shallow-contact binary with the temperature difference of ΔT = 152 K and fill-out of f = 14.67%. In the O−C diagram of orbital period analysis, a cyclic oscillation superimposed on a continuous decrease was determined. The long-term decreasing is often explained by the mass transfer from the more massive star to less massive one, this system will evolve into a deeper contact binary with time. The cyclic oscillations computed from much more CCD times of light minimum maybe result from the light-travel time effect via the presence of a third body. These characters of structure, evolution and ternary belong to typical A-type W UMa binaries with spectral G.

  • Research Article
  • Cite Count Icon 12
  • 10.2118/214660-pa
Cyclic Liquid Nitrogen Fracturing Performance on Coal with Various Coal Ranks: Laboratory Investigation and Mechanism Analysis
  • Mar 2, 2023
  • SPE Journal
  • Ruiyue Yang + 7 more

Summary Hydraulic fracturing is one of the important stimulation methods to enhance the productivity of coalbed methane (CBM) wells. However, the commonly used water-based fracturing fluids can bring some bottlenecks such as large amount of water consumption, clay-mineral swelling, and poor fracturing performance on ductile coals. Cyclic liquid nitrogen (LN2) fracturing, as a novel nonaqueous stimulation method, has the potential to solve the above problems. In cyclic LN2 fracturing, supercooling LN2 is injected in a cyclic manner [i.e., alternating high injection rate (or pressure) and low injection rate (or pressure)]. Coals will be subjected to cyclic freeze-thaw, stress oscillation, and fatigue damage, which is expected to improve the stimulated reservoir volume. First, laboratory cyclic LN2 fracturing tests were conducted on coal samples with various coal ranks to investigate the fracture initiation/propagation behavior and fracture network patterns. Cyclic water fracturing tests were also conducted as comparisons. Then, computed tomography (CT) scanning and geomechanical/petrophysical properties tests before and after LN2 fracturing were performed to assist in understanding the cyclic LN2 fracturing mechanisms and implications. Finally, to solve the field application concerns, we investigated the possible fracture geometries at the field scale, temperature distribution of LN2 along the wellbore during injection, and the economic feasibility. The key factors affecting the temperature distribution during LN2 transportation along the wellbore were clarified for the first time. The results indicate that cyclic LN2 fracturing shows the potential to decrease the breakdown pressure and produce complex fracture networks. Different coal ranks have different responses to cyclic LN2 fracturing attributed to the variances in natural fracture development and geomechanical/petrophysical properties. Besides, increasing the cycle number is effective in enhancing the cyclic LN2 fracturing performance on coals with relatively higher geomechanical strengths and tighter rock mass. The suggested cycle numbers from low to high for different coal ranks are listed here: low-rank coal < high-rank coal < middle-rank coal. In field applications, gaseous nitrogen (N2) can be used as the annulus fluid to provide an effective insulation for heat transfer between the low-temperature LN2 and the surrounding environment. In addition, the net present value (NPV) analysis indicates that LN2 fracturing is an economically feasible stimulation method, which can exceed slickwater fracturing in some cases. The key findings are expected to provide preliminary insights into the potential field applications of cyclic LN2 fracturing in CBM or other unconventional oil/gas exploitation.

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  • Research Article
  • Cite Count Icon 3
  • 10.1155/2023/8795660
Insight into Caputo Fractional-Order Extension of Lotka–Volterra Model with Emphasis on Immigration Effect
  • Feb 22, 2023
  • Journal of Mathematics
  • A El-Mesady + 2 more

For over a hundred years, the model of prey–predator has been handled extensively. It has been proved that Lotka–Volterra (LV) models are not stable from all previous studies. In these models, there is divergent extinction of one species or cyclic oscillation. There is no solution for asymptotic stability for the prey–predator models. In this paper, a Caputo fractional-order one prey-two predators’ model with an immigration effect is investigated. Then, the effect of adding a small immigration term to the prey or predators’ populations is studied. The extension is both the inclusion of a second predator and the use of Caputo derivatives. Although LV systems have been extensively investigated, there are no previous studies on our proposed nonlinear modifications. The Grünwald–Letnikov method was applied to find numerical solutions for the proposed model to validate our findings. Several different cases were studied to reach confirmed conclusions. The effect of the variation of fractional-order derivative is handled in this study. From all the results, the effect of adding the small immigration terms is positive for stability. Hence, it can be concluded that the proposed small immigration terms can stabilize the natural populations of the one prey-two predators’ model. An optimal control strategy for the proposed model is shown at the end of the paper.

  • Open Access Icon
  • Research Article
  • Cite Count Icon 4
  • 10.1093/pasj/psad003
First photometric investigation of OGLE-SMC-ECL-2063: A low-metallicity massive contact binary in the SMC
  • Feb 13, 2023
  • Publications of the Astronomical Society of Japan
  • Chuqi Wu + 7 more

Abstract Studying massive binaries in different evolution stages or environments may help us to solve the problem of the evolution of massive binaries. The metallicity in the Small Magellanic Cloud (SMC) is much lower than that in our Milky Way, and binaries in the SMC are rarely studied. OGLE-SMC-ECL-2063 is a short-period early-type binary with a period of ${0{_{.}^{\circ}}6317643}$ in the SMC. We use the Wilson–Devinney code to analyze its light curves. The result shows that OGLE-SMC-ECL-2063 is an overcontact binary with a high mass ratio of 0.900 and a fill-out factor of $35.9\%$. The O − C curves of the period of OGLE-SMC-ECL-2063 show a long-term increase with a cyclic oscillation of amplitude A = 0.00503 d and period P3 = 14.80 yr. All the evidence above indicates that OGLE-SMC-ECL-2063 is in the Case A mass transfer evolutionary state. The mass transfer rate $\dot{M}_2 = -5.67 \times 10^{-7} M_{\odot }\:$yr−1 is derived and used to explain the continuous period increase. Because both components of OGLE-SMC-ECL-2063 are early-type stars, the existence of a third body may be the reason for the cyclic change in period. The mass of the third body is derived to be no less than 0.70 M⊙ and the orbital separation to be no more than 13.22 au. Combining the result of light-curve analysis, the third body tends to be a low-mass late-type star. Such high-mass-ratio binaries play an important role in the evolution of early-type binaries. Thus, researching OGLE-SMC-ECL-2063 provides the basis for us to study the formation and evolution of early-type contact binaries.

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