Mapping Principle Research Articles

Quasi‐stabilization/synchronization of quaternion‐valued memristive neural networks: Norm approach

This paper examines the quasi‐stabilization and synchronization of memristive neural networks in high dimensional forms. First, new criteria for the existence of the equilibrium point (EP) are delivered by contraction mapping principle. Then, a new Lyapunov function described with one‐norm form is imported for quasi‐stabilization/synchronization of the system. Finally, two numerical examples containing simulations are given to demonstrate the effectiveness.

In situ] : re-thinking the role of musical improvisation performance in the context of the ecological and cultural crisis

If there is one thing that complexity theory has taught us, it is to consider phenomena not as isolated events with properties of their own, but to observe them from a different perspective: as relations in a vast network of interdependent systems. In this light, the role of contemporary music performance has changed, and will continue to change, precisely because the context in which it is created and takes place is constantly evolving. Artistic research can provide the tools to be aware of these changes and to actively re-act in this changing context, not by simply transposing the context or its elements into a representational or aesthetic framework, as happened with the avant-gardes of the 20th century, but by breaking cultural boundaries through transpositions into distant fields with isomorphic functional principles. It is precisely because of this characteristic, which reveals the intrinsic interdisciplinarity in artistic research, that it is possible to revolutionize the traditional conception of music performance and not confine it to an aesthetic regime, but rather expand it to include the context. However, since relationships are not unambiguous, it is not just a matter of revising the concept of performance, but also of reviewing the way we experience and live in the context, as artists, as human beings, and as elements of a circuit of which we are only a small part. In this paper, I will first examine how environmental and social changes have been reflected in performative changes and the ways in which the context of the ecological crisis and contemporary performance are interrelated. Then, I will focus on my research project, “[in situ]”, highlighting its site/situation-specificity, flexibility, immersivity, and interactivity, and explaining how it aligns with and differs from other contemporary music performance practices.

The Impact of Virtual Reality as a Rehabilitation Method Using TRAVEE System on Functional Outcomes and Disability in Stroke Patients: A Pilot Study

Background: Stroke is the third leading cause of disability. Virtual reality (VR) has shown promising results in post-stroke rehabilitation. The VR TRAVEE system was designed for the neuromotor rehabilitation of the upper limb after a stroke and offers the ability to track limb movements by providing auditory feedback and visual augmentation. The World Health Organization Disability Assessment Schedule 2.0 (WHODAS 2.0), aligned with the International Classification of Functioning, Disability, and Health (ICF) principles, is a valid tool for measuring disability regardless of its cause. This study aimed to investigate the feasibility of the VR TRAVEE system in upper limb rehabilitation for stroke patients. Methods: A total of 14 stroke patients with residual hemiparesis were enrolled in the study. They underwent a 10-day program combining conventional therapy (CnvT) with VR rehabilitation. At baseline (T0), the upper limb was assessed using the Modified Ashworth Scale (MAS), active range of motion (AROM), and the Numeric Rating Scale (NRS) for pain. These assessments were repeated after the 10-day rehabilitation program (T1). Additionally, disability was measured using WHODAS 2.0 at T0 and again 30 days after completing the program. Results: Significant improvements were observed in AROM and MAS scores for the shoulder, elbow, wrist, and metacarpophalangeal joints, as well as in the reduction in shoulder pain (p ˂ 0.001). WHODAS scores decreased across all six domains, with a statistically significant improvement in the Cognition domain (p = 0.011). Conclusions: Combining CnvT with VR as a rehabilitation approach enhances motor function in the upper limb. This method has the potential to reduce disability scores and promote neuroplasticity.

On type I blowup of some nonlinear heat equations with a potential

In this paper, we are concerned with the following initial-boundary value problem{ut=Δu+Q(|x|)|u|p−1u,x∈BR,t>0u(x,t)=0,x∈∂BR,t>0u(x,0)=u0(x),x∈BR, where p≥ps:=N+2N−2, u0∈L∞(BR), and Q(r)∈C1([0,R]), 0<C_≤Q(r)≤C‾<∞,Q′(r)≤0. We extend the asymptotic behavior results, which is well-known when Q is constant according to Matano-Merle (cf. [25]), for the blow-up solutions. More precisely, we show that when ps≤p<p⁎, the blowup of radial solution to this problem is always of Type I. This result partially generalizes the conclusions in [25] for Q≡1. This extension is nontrivial due to the appearance of Q. The quasi-monotonicity formula established by the third author and Cheng in [8] allows us to use an energy method to get a priori estimates on the rescaled solutions. The contraction mapping principle shows the existence of singular stationary solutions to an associated elliptic equation with a potential. In the end, the properties of zero number for solutions lead to the nonexistence of type II singularity for the problem.

A Two-Finger Gripper Actuated by Shape Memory Alloy for Applications in Automation Technology with Minimized Installation Space

The increasing demand for innovative grippers and actuators for the automation sector encourages the development of new and innovative functional principles. Intelligent materials are particularly suitable for this purpose based on their high energy density. In this study, a two-finger gripper driven by shape memory alloys (SMA) for use in automation technology is presented. Previous grippers driven by SMA can only be found in the field of micro gripping due to the limited stroke generated by SMA. Based on a methodical product development, a new type of gripper was developed and is presented in this study, which can achieve an opening width comparable to conventional grippers based on transmission mechanisms. Two different variants of the gripper are shown and compared aiming to minimize the installation space and weight of the gripper. In addition to the design presentation, a prototype is built, and the functionality is demonstrated through various test series.

On the Generalized (p,q)-ϕ-Calculus with Respect to Another Function

In the present paper, we generalized some of the operators defined in (p,q)-calculus with respect to another function. More precisely, the generalized (p,q)-ϕ-derivatives and (p,q)-ϕ-integrals were introduced with respect to the strictly increasing function ϕ with the help of different orders of the q-shifting, p-shifting, and (q/p)-shifting operators. Then, after proving some related properties, and as an application, we considered a generalized (p,q)-ϕ-difference problem and studied the existence property for its unique solutions with the help of the Banach contraction mapping principle.

First Principles Study of Electronic and Optical Properties of Al-P Co-Doped ZnO in the Presence of Zn Vacancies.

The BP neural network optimized by the Adam algorithm was used to predict the defect formation energy of Al-P co-doped ZnO systems with different concentrations of P replacing O under the presence of different concentrations of VZn. It was found that the easily formed AlZnPo-1VZn, AlZnPO-2VZn, and AlZn2PO-1VZn systems. The first principles of density function were used to study the geometric, electronic, and optical properties of each system. The simulation results show that the bandgap values of the three systems have decreased relative to the intrinsic ZnO, among which AlZnPO-1VZn and AlZnPO-2VZn is still a p-type conductive system, AlZnPO-2VZn has the highest conductivity. From the analysis of reflectivity, absorption rate, and light transmittance, AlZn2PO-1VZn has the most relatively excellent optical properties, followed by AlznPo-2VZn.

Construction of a Teaching Platform of Modern and Contemporary Chinese Literature From the Perspective of Diversified Intelligence

This paper discusses the functional principle of the theory in detail based on the theory of diversified intelligence and constructs a teaching platform of diversified intelligence. Then, this platform is applied to teaching in different cities, and the application of modern and contemporary literature teaching platforms in different cities is compared. According to the application indicators of each inter city teaching platform, the measures to improve the application rate of this teaching platform are put forward. In short, based on the theory of multiple intelligences, this paper provides some experimental and theoretical support for the development and progress of modern and contemporary Chinese literature.

Legitimate self-affirmation of a person in society

It was found that a number of objective and subjective factors influence the choice of value guidelines and the formation of individual legal value attitudes. The formation of a legal vector of human behavior in the modern legal space requires the development of personal qualities of a person through legal education, the development of value-based legal orientations, legal culture, and legal awareness. It is emphasized that a person’s legal awareness, as a set of ideas and perceptions of a person about positive law, must be formed on the principle of interconnection and complementarity of natural and positive law. In a legal state and a democratic society, a person should feel this interaction in the dominance of universal values and principles originating from the norms of natural law, as well as anthropocentrism in the norms of positive law. The formation of the legal culture of an individual through awareness of the purpose of law, its content, and basic ideas is a guarantee of respect for law and human rights and contributes to the formation of a valuable legal worldview and understanding of the principles of functioning of a civilized society. It is noted that today the state must take care that citizens have the proper level of legal culture and legal awareness, and also, it is important that this process is not ideological, but on the contrary, that a person feels that no one imposes any social models on him and ideals, except that legitimate self-assertion is encouraged. Attention is focused on the fact that the legitimate self-assertion of a person in society is the basis of his harmonious existence in the natural-legal field of the state within the natural­legal space and continues throughout life on the basis of learning the norms of social morality, universal ideals, awareness of the value and purpose of law and unconditionality in observance of basic human rights. The formation of a legitimate vector of individual development involves the interaction of the main social institutions for the development of legal culture, legal awareness and legitimate social attitudes, which will contribute to reducing the manifestations of illegal human behavior.

Ecosystem model of development of the unmanned aircraft systems industry

The article analyzes the structural transformations of Russian industry in the context of external constraints and the need to ensure technological sovereignty in high-tech industries. The scientific hypothesis of the work is the assumption of the importance of cross-sectoral coordination of subjects of industrial policy in order to develop the production of critical products. The digital industrial ecosystem of the unmanned aircraft systems (UAS) industry is considered as an object of research. The purpose of the research is to develop the foundations of the structure of the ecosystem model of the development of the UAS industry and substantiate the feasibility of its application in the interests of improving high-tech industries of the Russian Federation. The article offers the author’s interpretations of the concepts of “digital industrial ecosystem” and “cross-industry ecosystem”, substantiates the principles of functioning of the ecosystem model and its architecture. An ecosystem model of the development of the UAS industry was developed, including management bodies, technical infrastructure, organizational and economic tools, technological clusters and a network of participants. The main distinguishing features of the proposed model from the existing ones are: the distribution of ecosystem management bodies that ensure the autonomy of management at all horizontal and hierarchical levels of its organization; the ecosystem is considered as an instrument of the mechanism of strategic development of high-tech industries involved in the creation of civil-purpose UAS, and provides cross-industry interaction of participants in order to accelerate the development of industrial production and the formation of the UAS market. The ecosystem management model will ensure the possession of up-to-date data of actual and planned indicative evaluation indicators of the state and development of the industry on a time scale close to real, based on the principle of digital transparency.

Beyond the lab: Feasibility of cognitive neuroscience data collection during a speleological expedition

In human cognitive neuroscience and neuropsychology studies, laboratory-based research tasks have been important to establish principles of brain function and its relationship to behaviour; however, they differ greatly from real-life experiences. Several elements of real-life situations that impact human performance, such as stressors, are difficult or impossible to replicate in the laboratory. Expeditions offer unique possibilities for studying human cognition in complex environments that can transfer to other situations with similar features. For example, as caves share several of the physical and psychological challenges of safety-critical environments such as spaceflight, underground expeditions have been developed as an analogue for astronaut training purposes, suggesting that they might also be suitable for studying aspects of behaviour and cognition that cannot be fully examined under laboratory conditions. While a large range of topics and tools have been proposed for application in such environments, few have been used in the field. Methods and procedures for maximizing the robustness and scientific value of expedition research designs must first be developed and validated. We tested the feasibility of collecting human physiological, cognitive, and subjective experience data concerning brain state, sleep, cognitive workload, and fatigue, during a speleological expedition in a remote region. We document our approaches and challenges experienced, and provide recommendations and suggestions to aid future work. The data support the idea that cave expeditions are relevant naturalistic paradigms that offer unique possibilities for cognitive neuroscience to complement laboratory work and help improve human performance and safety in operational environments.

Model-free adaptive consensus design for a class of unknown heterogeneous nonlinear multi-agent systems with packet dropouts

This paper studies the consensus problem for a class of unknown heterogeneous nonlinear multi-agent systems via a network with random packet dropouts. Based on the dynamic linearization technique, novel model-free adaptive consensus protocols with the data compensation mechanism are designed for both leaderless and leader-following cases. The advantage of this approach is that only neighborhood input and output data of the agents are required in the protocol design. For the stability analysis, a new Squeeze Theorem based method is developed to derive the theoretic results instead of the traditional contraction mapping principle used in model-free adaptive control. It is shown that the consensus can be achieved for both leaderless and leader-following cases if the communication topology is strongly connected. Finally, numerical simulations verifying the correctness of the theoretical results are given.

Enhanced material removal modeling in cylindrical bonnet tool polishing: Incorporating time-dependent pad wear effects

To enhance the accuracy and stability of the material removal model for cylindrical bonnet tool polishing (CBTP), this study introduces a model incorporating the time-varying wear effect of the polishing pad. Initially, the functional principles of the CBTP method are systematically outlined. An advanced material removal model is then proposed, which accounts for the impact of pad wear on pressure and velocity distributions within the contact area. Experimental methods were employed to explore how pad wear affects the pad surface morphology, polishing quality, and material removal rates. Findings reveal that pad wear considerably influences both the depth of material removal and the quality of the polished surface. Validation experiments demonstrate that the enhanced model is accurate and stable. Including the time-varying factor, the discrepancy between the predicted and experimental values of the polishing spot size was 9.29 %, while the accuracy of the predicted material removal depth reached 90.74 %. Additionally, the removal profiles generated by the improved model closely matched those observed experimentally.

An analytic approach for nonlinear collisional fragmentation model arising in bubble column

The phenomenon of coagulation and breakage of particles plays a pivotal role in diverse fields. It aids in tracking the development of aerosols and granules in the pharmaceutical sector, coagulation or breakage of droplets in chemical engineering, understanding blood clotting mechanisms in biology, and facilitating cheese production through the action of enzymes within the dairy industry. A significant portion of research in this direction concentrates on coagulation or linear breakage processes. In the case of linear case, bubble particles break down due to inherent stresses or specific conditions of the breakage event. However, in many practical situations, particle division is primarily due to forces exerted during collisions between particles, necessitating an approach that accounts for nonlinear collisional breakage. Despite its critical role in a wide array of engineering and physical operations, the study of this nonlinear fragmentation phenomenon has not been extensively pursued. This article introduces an innovative semi-analytical method that leverages the beyond linear use of equation superposition function to address the nonlinear integro-partial differential model of collisional breakage population balance. This approach is versatile, allowing for the resolution of both linear/nonlinear equations while sidestepping the complexities associated with discretization of domain. To assess the precision of this method, we conduct a thorough convergence analysis. This process utilizes the principle of contractive mapping in the Banach space, a globally recognized strategy for verifying convergence. We explore a variety of kernel parameters associated with collisional kernels, alongside breakage and initial distribution functions, to derive novel iterative solutions. Comparing our findings with those obtained through the finite volume method regarding number density functions and their integral moments, we demonstrate the reliability and accuracy of our approach. The consistency and correctness of our method are further validated by depicting the errors between the exact and approximated solutions in graphical and tabular formats.

Estimations of global Mittag–Leffler bounds and synchronization for fractional-order permanent magnet synchronous motor systems

This article investigates the global Mittag-Leffler bounds (GM-LBs) and synchronization of fractional-order permanent magnet synchronous motors (FOPMSMs). To begin with, by using some appropriate generalized Lyapunov functions, the extremum principle of function and fractional differential inequalities, a few new bounds for the three-dimensional cylindrical and ellipsoidal domains and a rotatory parabolic body of FOPMSMs are estimated by utilizing the parameters in the systems, which improves the earlier studies and may conclude some new estimates. Moreover, linear feedback control strategies owning one or two inputs and fractional adaptive control owning both single input and single state are accepted to come true the global Mittag-Leffler synchronization (GM-LS) and global asymptotic synchronization (GAS) of two FOPMSMs. Some new criteria for the synchronization are acquired by utilizing some inequality approaches. Finally, the feasibility of the proposed control schemes is verified by numerical simulations.

On the (k,φ)-Hilfer Langevin fractional coupled system having multi point boundary conditions and fractional integrals

In this manuscript, we investigate the (k,φ)-Hilfer Langevin fractional coupled system having multi point boundary conditions and fractional integrals. This study is crucial as it addresses the complexities of (k,φ)- Hilfer Langevin coupled system with multi point conditions, which have applications in many scientific and engineering fields. Unlike previous research, our work introduces novel techniques for analyzing these system, leading to more accurate and comprehensive results. The major findings include new existence and uniqueness theorems, along with improved stability conditions, which enhance the understanding and potential applications of these systems. We demonstrate the existence, uniqueness and different kinds of Ulam stability for our suggested model. We prove the uniqueness of the solution by utilizing Banach contraction mapping principle. The existence of solution is studied by using Krasnoselskii's fixed point theorem. We also explore the different types of Ulam stability under the specific conditions. We presented an example at the end to support our main results.

A study of the impact of urban spaces on social resilience in case of natural disasters: Insights from citizens affected by March 2019 flood in Aq Qala City, Iran

The number of urban crises has been notably on the rise all around the globe during the past few decades due to shifts in ecological cycles and social challenges, among other reasons. These crises have had a more pronounced impact on urban areas, which are more vulnerable. The various aspects of resilience have become the focal points in sustainable development research and other related studies, and some solutions have been proposed within the concepts and framework of sustainable development for countering these crises, among which urban resilience is more prominent owing to its inherent functional principles. Among the various aspects of resilience, social resilience is linked to the social capacities of urban regions. A review of the related literature reveals the shortage of studies about the relationship between urban spaces and social resilience. This study aims to uncover the mechanisms through which urban spaces influence social resilience following natural disasters through the perceptions of the citizens affected by the March 2019 flood in Aq Qala, Golestan Province, Iran. To achieve this, we first developed a conceptual model grounded in a review of relevant theoretical literature. Subsequently, a structured 5-point scale questionnaire was designed and distributed for data collection. The collected data was then subjected to structural equation modeling to analyze the conceptual model. The findings highlight the critical factors in forming social resilience from the perspective of Aq Qala residents, with a specific emphasis on city structure, activity, social capital, and social cohesion as integral components.

Establishing complexity targets to enhance artificial reef designs

Artificial reefs (AR), which are integral tools for fish management, ecological reconciliation and restoration efforts, require non-polluting materials and intricate designs that mimic natural habitats. Despite their three-dimensional complexity, current designs nowadays rely on empirical methods that lack standardised pre-immersion assessment. To improve ecosystem integration, we propose to evaluate 3-dimensional Computer-aided Design (3D CAD) models using a method inspired by functional ecology principles. Based on existing metrics, we assess geometric (C-convexity, P-packing, D-fractal dimension) and informational complexity (R-specific richness, H- diversity, J-evenness). Applying these metrics to different reefs constructed for habitat protection, biomass production and bio-mimicry purposes, we identify potential complexity target points (CTPs). This method provides a framework for improving the effectiveness of artificial reef design by allowing for the adjustment of structural properties. These CTPs represent the first step in enhancing AR designs. We can refine them by evaluating complexity metrics derived from 3D reconstructions of natural habitats to advance bio-mimicry efforts. In situ, post-immersion studies can help make the CTPs more specific for certain species of interest by exploring complexity-diversity or complexity-species distribution relationships at the artificial reef scale.

Challenges to Public Administration Related to the Implementation of the Scientific and Technological Development Strategy of the Russian Federation

The author considers the requirements of the Decree of the President of Russia “On the Scientific and Technological Development Strategy of the Russian Federation” to the characteristics and principles of functioning of the public administration system in Russia. It is shown that the list of these characteristics and requirements is incomplete and insufficient for the implementation of the Decree. The main gaps in the requirements formed by the Decree relate to limiting the reconfiguration of the management system to only one subsystem, management in the field of scientific and technological development. The article argues that the complex nature of grand scientific and technological challenges implies profound changes in the public administration system as a whole, the transition from a structural and functional management system (a combination of meritocratic and client-oriented models) to a project management system (indicative and public-state models). The changes should affect the nomenclature and the scheme of interaction between structural divisions of state bodies, increase the level of project intra- and interdepartmental coordination. In addition, significant changes must be made in the public service system. We should organize training of specialists capable of using data analytics tools and data-based decision-making technologies as well as of carrying out an indicative assessment of project implementation indicators. The structure of the civil service should be associated with project offices and temporary performance of duties in these offices, and not only with permanent functions, taking into account the specifics of project service activities and project teams within government agencies. Civil servants should actively interact with independent expert structures and with civil society, which is the ultimate beneficiary of science and technology projects.

Research on Rock Energy Constitutive Model Based on Functional Principle

The essence of rock fracture can be broadly categorized into four processes: energy input, energy accumulation, energy dissipation, and energy release. From the perspective of energy consumption, the failure of rock materials must be accompanied by energy dissipation. Dissipated energy serves as the internal driving force behind rock damage and progressive failure. Given that the process of rock loading and deformation involves energy accumulation and dissipation, the rock constitutive model theory is expanded by incorporating energy principles. By introducing the dynamic energy correction coefficient, according to the law of the conservation of energy, the total energy exerted by external loads on rocks is equal to the energy dissipated through the dynamic energy inside the rocks. A new type of energy constitutive model is established through the functional principle and momentum principle. To validate the model’s accuracy, a triaxial compression test was conducted on sandstone to examine the stress–strain behavior of the rock during the failure process. A sensitivity analysis of the parameters introduced into the model was conducted by comparing the model results, which helped to clarify the innate laws of significance of these parameters. The results indicated that the energy model more accurately captures the non-linear mechanical behavior of sandstone under high-stress loading conditions. The model curve fits the test data to a high degree. The fitting curve was basically consistent with the changing trend of the test curve, and the correlation coefficients were all above 0.90. Compared with other models, the model based on the energy principle not only accurately reflects the rock’s stress–strain curve, but also reflects the energy change law of rock. This has reference value for the safety analysis of rock mass engineering under loading conditions and aids in the development of anchoring and support schemes. The research results can fill in the blanks that exist in the energy method in terms of rock deformation and failure and provide a theoretical basis for deep rock engineering. Moreover, this research can further improve and extend the rock mechanics research system based on energy.