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Related papers: A Study on the Synchronization Aspect of Star Conn…

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Synchronization processes in populations of identical networked oscillators are in the focus of intense studies in physical, biological, technological and social systems. Here we analyze the stability of the synchronization of a network of…

We investigate topological and spectral properties of models of European and US-American power grids and of paradigmatic network models as well as their implications for the synchronization dynamics of phase oscillators with heterogeneous…

Physics and Society · Physics 2024-03-29 Max Potratzki , Timo Bröhl , Thorsten Rings , Klaus Lehnertz

We explore the interplay of network structure, topology, and dynamic interactions between nodes using the paradigm of distributed synchronization in a network of coupled oscillators. As the network evolves to a global steady state,…

Disordered Systems and Neural Networks · Physics 2015-06-04 Kristina Lerman , Rumi Ghosh

The class of controlled synchronization systems under information constraints imposed by limited information capacity of the coupling channel is analyzed. It is shown that the framework proposed in A. L. Fradkov, B. Andrievsky, R. J. Evans,…

Dynamical Systems · Mathematics 2009-11-13 Alexander L. Fradkov , Boris Andrievsky , Robin J. Evans

The temporal behaviour of segmentation clock oscillations show phase synchrony via mean field like coupling of delta protein restricting to nearest neighbours only, in a configuration of cells arranged in a regular three dimensional array.…

We present an approach which enables to state about the existence of phase synchronization in coupled chaotic oscillators without having to measure the phase. This is done by observing the oscillators at special times, and analyzing whether…

Statistical Mechanics · Physics 2009-11-13 T. Pereira , M. S. Baptista , J. Kurths

This paper generalises King's models for tidally truncated star clusters by including approximately the non-spherical symmetry of the tidal field and the resulting non-spherical distortion of the cluster.

Astrophysics · Physics 2007-05-23 D. C. Heggie , N. Ramamani

We analyze star-type networks of phase oscillators by virtue of two methods. For identical oscillators we adopt the Watanabe-Strogatz approach, that gives full an- alytical description of states, rotating with constant frequency. For…

Adaptation and Self-Organizing Systems · Physics 2016-01-13 Vladimir Vlasov , Arkady Pikovsky , Elbert E. N. Macau

We review recent advances towards the computation of string couplings. Duality symmetry, mirror symmetry, Picard-Fuchs equations, etc. are some of the tools.

High Energy Physics - Theory · Physics 2009-10-22 Albrecht Klemm , Stefan Theisen

In this present work, the axial quasi-normal modes of neutron stars, with a shift symmetric conformal coupling, are studied for different realistic equations of state. First, we derive the background equations in static and spherically…

General Relativity and Quantum Cosmology · Physics 2022-03-09 Hamza Boumaza

A mutual synchronization of spin-torque oscillators coupled through current injection is studied theoretically. Models of electrical coupling in parallel and series circuits are proposed. Solving the Landau-Lifshitz-Gilbert equation,…

Mesoscale and Nanoscale Physics · Physics 2017-12-14 Tomohiro Taniguchi , Sumito Tsunegi , Hitoshi Kubota

Research on asynchronous cellular automata has received a great amount of attention these last years and has turned to a thriving field. We survey the recent research that has been carried out on this topic and present a wide state of the…

Cellular Automata and Lattice Gases · Physics 2014-08-27 Nazim Fatès

In this paper, we study cluster synchronization in networks of coupled non-identical dynamical systems. The vertices in the same cluster have the same dynamics of uncoupled node system but the uncoupled node systems in different clusters…

Dynamical Systems · Mathematics 2015-05-14 Wenlian Lu , Bo liu , Tianping Chen

The interactions between the components of many real-world systems are best modelled by networks with multiple layers. Different theories have been proposed to explain how multilayered connections affect the linear stability of…

Physics and Society · Physics 2022-03-25 Charo I. del Genio , Sergio Faci-Lázaro , Jesús Gómez-Gardeñes , Stefano Boccaletti

In networks of identical linear oscillators (e.g. pendulums undergoing small vibrations) coupled through both dissipative connectors (e.g. dampers) and restorative connectors (e.g. springs) the relation between asymptotic synchronization…

Dynamical Systems · Mathematics 2019-12-30 S. Emre Tuna

Sufficient conditions for synchronization of coupled Lienard-type oscillators are investigated via averaging technique. Coupling considered here is pairwise, unidirectional, and described by a nonlinear function (whose graph resides in the…

Dynamical Systems · Mathematics 2010-03-15 S. Emre Tuna

We investigate collective synchronous behaviors in random complex networks of limit-cycle oscillators with the non-identical asymmetric coupling scheme, and find a uniform coupling criticality of collective synchronization which is…

Disordered Systems and Neural Networks · Physics 2015-06-25 Xiang Li

The dynamics of two mutually coupled chaotic diode lasers are investigated experimentally and numerically. By adding self feedback to each laser, stable isochronal synchronization is established. This stability, which can be achieved for…

Disordered Systems and Neural Networks · Physics 2009-11-11 Einat Klein , Noam Gross , Michael Rosenbluh , Wolfgang Kinzel , Lev Khaykovich , Ido Kanter

The problem of synchronization in heterogeneous networks of linear systems with nonlinear delayed diffusive coupling is considered. The network is presented in new coordinates mean-field dynamics and synchronization errors. Thus the problem…

Adaptation and Self-Organizing Systems · Physics 2022-05-11 Sergei A. Plotnikov

The control of complex systems and network-coupled dynamical systems is a topic of vital theoretical importance in mathematics and physics with a wide range of applications in engineering and various other sciences. Motivated by recent…

Adaptation and Self-Organizing Systems · Physics 2015-08-24 Per Sebastian Skardal , Alex Arenas
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