Group Analysis Method Research Articles

Group classification and conservation laws for a two-dimensional generalized Kuramoto–Sivashinsky equation

The two-dimensional anisotropic Kuramoto–Sivashinsky equation is a fourth-order nonlinear evolution equation in two spatial dimensions that arises in sputter erosion and epitaxial growth on vicinal surfaces. A generalization of this equation is proposed and studied via group analysis methods. The complete group classification of this generalized Kuramoto–Sivashinsky equation is carried out; it is classified according to the property of the self-adjointness and the corresponding conservation laws are established.

Generalized Separation of Variables for Nonlinear Equation [formula omitted

We consider the equation u t t = F ( u ) u x x + a F ′ ( u ) u x 2 , where F ( u ) is an arbitrary function and a ≠ 0 is a constant. The problem in question is for which functions F ( u ) this equation admits the ansatz t = w 1 ( x ) d ( u ) + w 2 ( x ) reducing it to a system of two ordinary differential equations with unknown functions w 1 ( x ) and w 2 ( x ). New classes of exact solutions with generalized separation of variables were constructed for these equations, which cannot be obtained by the method of classical group analysis.

A Review of Physics-based Methods for Group and Crowd Analysis in Computer Vision

Crowd analysis is a popular topic in computer vision, with important applications to video surveillance, social media analysis, and multimedia retrieval, to name just a few areas. In this paper, we review some of the physics-based methods for group and crowd analysis in computer vision. In particular, we examine approaches for physics-based analysis of groups, crowds, and the simulation of crowds. The purpose of this review is to categorize and delineate the various physics-based and physics-inspired approaches that have been applied to the examination of groups and crowds in video.

1285 – Training of bosnia-herzegovina mental health professionals in group analysis as the factor of development of culture of dialogue in the aftermath ofthe 1992–1995 war

Aim The primary objective will focus the first of all on Group Analysis (GA) as the psychotherapy method and theory of group analysis applied particularly in post-war environments. It outlines in particular a Zagreb Institute for GA Training Programme that took place in Tuzla University Clinical Centre, Department of Psychiatry, in Bosnia-Herzegovina (BH) in response to 1992–1995 war, in helping to train mental health workers in GA to enable them to treat psychological trauma symptoms of war survivors. Method In the GA education in the period of 16 years mental health professionals employed in mental health services were involved as well as other care employees as General Practitioners, Family physicians, pediatricians, gynecologists and neurosurgeons, psychologists and special educators. Results Trainees in education were from greater part of BH, and from several towns from neighborhoods countries. In this way a new room for mutual exchanges of experiences and establishing of cooperation was created. Idea of group analytic treatment of persons with mental health problems spread out on the whole region of BH through this model of education. The future of GA application as a psychotherapy model in BH confirmed through established models of education which are employed inowadays in Tuzla, Sarajevo and Mostar. The future of GA is provided in activities focused on foundations of the Institute for Analysis in Tuzla. Conclusion Training of Bosnia-Herzegovina mental health workers to effectively use GA with enthusiastic help of GA trainers from Institute for GA Zagreb will develop dialogue culture in postwar BH.

一个Toda晶格方程的条件对称

本文把离散的Lie点对称群分析方法应用于一个非线性微分–差分Toda晶格方程(即Toda-like晶格方程)。即首先应用Lie点对称方法约化Toda晶格方程，用以得到此方程对应的超定方程，再引入一个约化条件解超定方程，从而对该Toda晶格方程进行了相似约化，进而得到了其新的精确解。 In this paper, the discrete Lie point symmetry group analysis method is applied on a nonlinear dif- ferential-difference Toda lattice equation (i.e. a Toda-like equation), i.e. firstly, the Toda lattice equation is reduced by using Lie point symmetry to get the overdetermined equations corresponding to this Toda lattice equation, then a conditional symmetry is introduced to solve the overdetermined equations, so the similarity reduction for the Toda lattice equation is obtained, and then the new exact solutions of this Toda lattice equa- tion are obtained.

Lie symmetry analysis of the time fractional Boussinesq equation

We have applied the Lie group analysis method to the time fractional Boussinesq equation. This equation can be reduced to an equation which is related to the Erdelyi-Kober fractional derivative by Lie method as a result. It is shown that the approach introduced here is effective and easy to implement.

Vibrational spectra and first principles calculation of BaBPO5 crystal

In this paper, the lattice vibrational modes of the nonlinear optical crystal BaBPO5 are studied using polarized Raman spectrum and the first-principles calculation. The polarized Raman spectra are obtained in different configurations and recorded in a range of 100-1600 cm-1. Combining the experimental data of the FT-IR spectrum, the lattice vibrational modes of the internal and external vibrations are analyzed by the factor group analysis method. The results indicate that the primary Raman peaks of the BaBPO5 crystal are ascribed to the internal vibrations of the PO4 and BO4 tetrahedrons, and the vibrations of the PO4 tetrahedron show strong Raman- and IR-activity. On the other hand, the first-principles calculation indicates the correlation of the vibrational modes with the atomic activities. Especially, the Raman peak located at 672 cm-1 is ascribed to the vibration of the B-O-P bond, which is the connector between the PO4 and BO4 tetrahedron. These results obtained in this work are important for understanding the micro-structures of the BaBPO5 crystal, and the further study on the crystal growth mechanism.

非线性离散的Klein-Gordon方程的对称约化

本文把离散的Lie点对称群分析方法应用于非线性离散的Klein-Gordon方程。由于该方程不易应用李点对称进行约化，所以本文首先引入一个相似变换将其转化为易被李点对称约化的新方程，然后用李点对称方法约化新方程得到其不变解，最后再通过相似变换得到原非线性离散的Klein-Gordon方程的解。 In this paper, the discrete Lie point symmetry group analysis method is applied on the discrete nonlinear Klein-Gordon equation. Since this equation is not easy to be reduced by Lie point symmetry method, firstly, this paper introduces a similarity transformation to change this equation into a new equation which can be reduced easily by Lie point symmetry method. Then the new equation is reduced by Lie point symmetry method and its invariant solutions are obtained. Finally, the solutions of the primal discrete nonlinear Klein- Gordon equation are acquired by the similarity transformation again.

Lie symmetry analysis to the time fractional generalized fifth-order KdV equation

In this paper, using the Lie group analysis method, we study the invariance properties of the time fractional generalized fifth-order KdV equation. It shows that this equation can be reduced to an equation which is related to the Erdélyi–Kober fractional derivative. Of course, this method can also be applied to other nonlinear fractional partial differential equations.

Symmetry analysis of the nonhomogeneous inviscid Burgers equation with delay

Many mathematical models in science are described by delay differential equations. Recent developments of the theory of delay differential equations allow one to derive a method for studying this class of equations by the group analysis method. So far there have been few investigations of delay differential equations by group analysis method. The present article studies the delay partial differential equation∂u∂t(x,t)+u(x,t)∂u∂x(x,t)=G(u(x,t-τ),u(x,t)).The complete group classification of this delay equation with the functional G=G(u(x,t)-u(x,t-τ))+H(u) is given in this article. The classification is considered with respect to the functions G and H.

A Fast-FENICA method on resting state fMRI data

For resting-state fMRI data, independent component analysis (ICA) is an excellent method which enables the decomposition of high-dimensional data into discrete spatial and temporal components. Fully exploratory network ICA (FENICA), a fully automated and purely data-driven ICA-based analysis for group assessment of resting-state networks, was proposed by Schöpf et al. (2010). FENICA is a novel and effective group assessment method, but it is not without limitations, such as those related to memory and time costs in running. Here we present Fast-FENICA, which is based on an energy sifting algorithm for interested networks, a linear candidate networks formation strategy and a correlation coefficients ranking algorithm of network matrix. It is demonstrated that the energy sifting algorithm for interested networks and linear candidate networks formation strategy can transform the stubborn computing time and memory cost limitations of FENICA from a quadratic level to a linear level and thus speed up the group evaluation. Furthermore, the correlation coefficients ranking algorithm can further increase the calculation speed and float up the consistent networks effectively. In comparison to FENICA, the hybrid data and true data experimental results demonstrate that Fast-FENICA not only contributes to the practicability and efficiency without decreasing the detecting ability of functional networks, but also ranks the common functional networks based on the whole spatial consistency at a group level. This proposed effective group analysis method is expected to have wide applicability.

Predictors of successful implementation of COP

PurposeThis study aimed to identify a model investigating effects of organizational characteristics on COP activity, and to compare the model in different social contexts to broaden the understanding of COP implementation. In addition, this study was intended to address an ecological fallacy committed in the prior studies so as to carry out a theoretically and methodologically rigorous comparative study of COP implementation between South Korea and the USA.Design/methodology/approachUnlike prior studies, which utilized direct measures of organizational characteristics, this study analyzed data on police officers' perceptions on organizational characteristics to investigate COP activities among police officers. For data collection, this study utilized an organizational survey developed by the School of Criminal Justice, Michigan State University and collected data from 206 police officers in South Korea and 231 police officers in the USA. Structural equation modeling was used to identify the best fitting model to the combined data set, and multiple group analysis was performed to compare the model in both countries. For direct comparison and test of comparability, this study used matching for sampling and multiple group analysis method of SEM.FindingsFindings indicated that both organizational flexibility and decentralization were important factors influencing COP activity in the USA, but decentralization of authority was the only important factor affecting COP activity in South Korea. Also, it was found that organizational philosophy had greater influence on organizational structure in the USA than in South Korea. In both countries, decentralization influenced feedback mechanism, but feedback mechanism did not influence COP activity. Likewise, flexibility influenced reward system, but the system did not influence COP activity in both countries.Research limitations/implicationsAlthough this study utilized matching and multiple group analysis for comparison between two countries, it may be possible that direct comparison regarding police organization would be difficult due to unmeasured aspects of organizational contexts.Originality/valueAlthough many studies have been conducted to investigate effects of organizational factors on COP implementation, there has been a lack of study in South Korea. In addition, there is a vacuum of empirical study on comparison across different countries regarding the factors. In this sense, this study produced important comparative knowledge on COP implementation.

P-1143 - Training bosnia-herzegovina mental health workers in group analysis in the aftermath of the 1992–1995 war

Aim The primary objective will focus the first of all on Group Analysis (GA) as the psychotherapy method and theory of group analysis applied particularly in post-war environments. It outlines in particular a Zagreb Institute for GA Training Programme that took place in Tuzla University Clinical Centre, Department of Psychiatry, in Bosnia-Herzegovina (BH) in response to 1992–1995 war, in helping to train mental health workers in GA to enable them to treat psychological trauma symptoms of war survivors. Method Authors described educational process considering the history of idea and its realization through training levels and process of supervision which was provided from the Institute for GA, Department for Psychology Medicine, School of Medicine in University of Zagreb, Croatia in sharing skills of GA to mental health therapists in BH. Results Highly dedicated internationally approved trainers from GA provided completed training for trainees: neuro- psychiatrists, residents, nurses, psychologists, social workers, special educators, paediatrician, and gynaecologist from several different institutions from seven different cities in BH and Croatia. Training started during the war period with introduction course and continues with Diploma Courses. To be accredited GA therapists all trainees are obliged to practice GA therapy with clients under the supervision process of GA supervisors. Nowadays there are 7 graduated Group Analysts in BH. Three of them are in process of training for educators. Conclusion Training of Bosnia-Herzegovina mental health workers to effectively use GA with enthusiastic help of GA trainers from Institute for GA Zagreb will increase psychotherapy capacities in postwar BH.

Symmetry properties of fractional order transport equations

In the paper some features of applying Lie group analysis methods to fractional differential equations are considered. The problem related to point change of variables in the fractional differentiation operator is discussed and some general form of transformation that conserves the form of Riemann-Liouville fractional operator is obtained. The prolongation formula for extending an infinitesimal operator of a group to fractional derivative with respect to arbitrary function is presented. Provided simple example illustrates the necessity of considering both local and non-local symmetries for fractional differential equations in particular cases including the initial conditions. The equivalence transformation forms for some fractional differential equations are discussed and results of group classification of the wave-diffusion equation are presented. Some examples of constructing particular exact solutions of fractional transport equation are given, based on the Lie group methods and the method of invariant subspaces.

Spherically symmetric solution in a space–time with torsion

By using the method of group analysis, we obtain a new exact evolving and spherically symmetric solution of the Einstein–Cartan equations of motion, corresponding to a space–time threaded with a three-form Kalb–Ramond field strength. The solution describes in its more generic form, a space–time which scalar curvature vanishes for large distances and for large time. In static conditions, it reduces to a classical wormhole solution and to a exact solution with a localized scalar field and a torsion kink, already reported in literature. In the process we have found evidence towards the construction of more new solutions.

Group analysis of the thin film dewetting equation

The classical Lie group analysis method in addition to constructing exact solutions, provides a regular procedure for mathematical modeling by classifying differential equations with respect to arbitrary elements. In the present paper group analysis is applied for modeling in dewetting of a thin film. The paper is focused on the equation: h t + Δ Δ h = div ( m ∇ V ( h ) ) . Group classification selects the functions m( h) and V( h) such that Eq. (2) possess additional symmetry properties. The group classification separates the set of the functions m( h) and V( h) into different classes with respect to symmetries.

Reintegration within families in the context of chronic illness: a family health promoting process

eggenberger sk, meiers sj, krumwiede n, bliesmer m & earle p (2011) Journal of Nursing and Healthcare of Chronic Illness3, 283–292 Reintegration within families in the context of chronic illness: a family health promoting process Aim. To describe the processes families use to manage family life in the context of a chronic illness and build theory that clarifies elements of the family processes. Background. Illness has been described as a family affair triggering families to shift their individual and family patterns as they attempt to manage ongoing life with a chronic illness. Family processes are central to the tasks and goals of a family living with a chronic illness. One in two families will experience a chronic illness in the next decade, hence it is important that research focus on understanding family processes that can influence health of the member with an illness and family health. Design. Grounded theory methodology was used for this study. Nine families participated with 46 participant family members interviewed aged between 6–75 years. Families included members with varied chronic illnesses. Semi-structured, audiotaped interviews with group analysis methods focused on family level data. Data were collected in 2005. Results. The central phenomenon was identified as an ongoing process of reintegration within families in the context of chronic illness. Recognising the vulnerability and reality of chronic illness prompts families to initiate reintegration within a context of uncertainty presented by the specific illness and its ongoing management. As a result of the caring strategies chosen by families, a pattern of engagement with the chronic illness was developed that focused on ongoing connecting, pondering, relating and struggling. Conclusions. A model of reintegration provides new understandings of ongoing family processes of a chronic illness. Supporting the evolving family as they engage with the chronic illness through processes of connecting, pondering relating, and struggling promotes family health. Relevance to clinical practice. Findings provide direction for health professionals planning family interventions to support family caring strategies and family processes as families engage with the chronic illness.

Steady-state oscillations in the continuously inhomogeneous medium described by the Ovsyannikov equation

Using the group analysis methods, for the Ovsyannikov equation with maximal symmetry which describes steady-state oscillations in a continuous inhomogeneous medium, we obtain exact solutions to boundary-value problems for some regions (generalized Poisson formulas), which in particular can serve as test solutions for simulating steady-state oscillations in continuous inhomogeneous media. We find operators acting on the set of solutions in a one-parameter family of these equations.

Syntactic processing in the human brain: What we know, what we don’t know, and a suggestion for how to proceed

For every claim in the neuroimaging literature about a particular brain region supporting syntactic processing, there exist other claims implicating the target region in different linguistic processes, and, in many cases, in non-linguistic cognitive processes (e.g., Blumstein, 2009). We argue that traditional group analysis methods in neuroimaging may obscure functional specificity because of inter-subject anatomical variability (Fedorenko & Kanwisher, 2009). In Fedorenko, Hsieh, Nieto-Castanon, Whitfield-Gabrieli, and Kanwisher (2010) we presented a functional localizer that allows quick and reliable identification of key language-sensitive regions in each individual brain. This approach enables pooling data from corresponding functional regions across subjects rather than from the same locations in stereotaxic space that may differ functionally due to inter-subject anatomical variability. In the current paper we demonstrate that the individual-subjects functional localization approach is superior to the traditional methods in its ability to distinguish among conditions in a brain region’s response. This ability is at the core of all neuroimaging research and is critical for answering questions of functional specialization (e.g., does a brain region specialize for processing syntactic aspects of the linguistic signal), which is in turn essential for making inferences about the precise computations conducted in each brain region. Based on our results, we argue that supplementing existing methods with an individual-subjects functional localization approach may lead to a clearer picture of the neural basis of syntactic processing, as it has in some other domains, such as high-level vision (e.g., Kanwisher, 2010) and social cognition (e.g., Saxe & Kanwisher, 2003).

An applicability of the associate group analysis method for identifying perceptions towards health behaviors

An applicability of the associate group analysis method for identifying perceptions towards health behaviors