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Correlations between intrinsic dynamics and local topology have become a new trend in the study of synchronization in complex networks. In this paper, we investigate in this paradigm the influence of topology on dynamics of networks made up…

Chaotic Dynamics · Physics 2015-06-18 Peng Ji , Thomas K. DM. Peron , Francisco A. Rodrigues , Jürgen Kurths

We report on finite-sized-induced transitions to synchrony in a population of phase oscillators coupled via a nonlinear mean field, which microscopically is equivalent to a hypernetwork organization of interactions. Using a self-consistent…

Adaptation and Self-Organizing Systems · Physics 2017-03-01 Maxim Komarov , Arkady Pikovsky

A new behavior type of unidirectionally coupled chaotic oscillators near the generalized synchronization transition has been detected. It has been shown that the generalized synchronization appearance is preceded by the intermitted…

Chaotic Dynamics · Physics 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii

Despite their significant functional roles, beta-band oscillations are least understood. Synchronization in neuronal networks have attracted much attention in recent years with the main focus on transition type. Whether one obtains…

Adaptation and Self-Organizing Systems · Physics 2018-10-22 Mahsa Khoshkhou , Afshin Montakhab

Systems of oscillators whose internal phases and spatial dynamics are coupled, swarmalators, present diverse collective behaviors which in some cases lead to explosive synchronization in a finite population as a function of the coupling…

Adaptation and Self-Organizing Systems · Physics 2024-09-17 Steve J. Kongni , Thierry Njougouo , Patrick Louodop , Robert Tchitnga , Fernando F. Ferreira , Hilda A. Cerdeira

Networks of Kuramoto oscillators with a positive correlation between the oscillators frequencies and the degree of the their corresponding vertices exhibits the so-called explosive synchronization behavior, which is now under intensive…

Adaptation and Self-Organizing Systems · Physics 2015-03-02 Rafael S. Pinto , Alberto Saa

We investigate how correlations between the diversity of the connectivity of networks and the dynamics at their nodes affect the macroscopic behavior. In particular, we study the synchronization transition of coupled stochastic phase…

Disordered Systems and Neural Networks · Physics 2013-01-22 Bernard Sonnenschein , Francesc Sagués , Lutz Schimansky-Geier

We introduce the concept of synchronization bombs as large networks of coupled heterogeneous oscillators that operate in a bistable regime and abruptly transit from incoherence to phase-locking (or vice-versa) by adding (or removing) one or…

Many biological and chemical systems exhibit collective behavior in response to the change in their population density. These elements or cells communicate with each other via dynamical agents or signaling molecules. In this work, we…

Adaptation and Self-Organizing Systems · Physics 2019-09-11 Umesh Kumar Verma , Sudhanshu Shekhar Chaurasia , Sudeshna Sinha

When dynamics in a system proceeds under suppressive external bias, the system can undergo an abrupt phase transition, as it occurs for example in the epidemic spreading. Recently, an explosive percolation (EP) model was introduced in line…

Statistical Mechanics · Physics 2015-06-17 Y. S. Cho , S. Hwang , H. J. Herrmann , B. Kahng

Explosive synchronization can be observed in scale-free networks when Kuramoto oscillators have natural frequencies equal to their number of connections. In the current work, we took into account mean-field approximations to determine the…

Statistical Mechanics · Physics 2012-04-24 Thomas Kauê Dal'Maso Peron , Francisco Aparecido Rodrigues

Synchronization is central to many complex systems in engineering physics (e.g., the power-grid, Josephson junction circuits, and electro-chemical oscillators) and biology (e.g., neuronal, circadian, and cardiac rhythms). Despite these…

Adaptation and Self-Organizing Systems · Physics 2017-01-13 Dane Taylor , Per Sebastian Skardal , Jie Sun

We find an unexpected phenomenon of coherently synchronized oscillations in a mirror-symmetric many-body localized system. A synchronization transition of the spin oscillations is found by changing the spin-spin interactions. To understand…

Disordered Systems and Neural Networks · Physics 2026-05-25 Zi-Jian Li , Yi-Ting Tu , Sankar Das Sarma

We demonstrate the existence of entanglement sudden death (ESD), the complete loss of entanglement in finite time, in qubit-qutrit systems. In particular, ESD is shown to occur in such systems initially prepared in a one-parameter class of…

Quantum Physics · Physics 2009-11-13 Kevin Ann , Gregg Jaeger

We investigate synchronization in complex networks of noisy phase oscillators. We find that, while too weak a coupling is not sufficient for the whole system to synchronize, too strong a coupling induces a nontrivial type of phase slip…

Adaptation and Self-Organizing Systems · Physics 2016-07-27 Yasuaki Kobayashi , Hiroshi Kori

We seek explanation for the neurophysiological phenomenon of event related desynchronization (ERD) by using models of diffusively coupled nonlinear oscillators. We demonstrate that when the strength of the event is sufficient, ERD is found…

Neurons and Cognition · Quantitative Biology 2015-05-13 Jane H. Sheeba , V. K. Chandrasekar , M. Lakshmanan

We study synchronization in populations of phase-coupled stochastic three-state oscillators characterized by a distribution of transition rates. We present results on an exactly solvable dimer as well as a systematic characterization of…

Statistical Mechanics · Physics 2015-06-25 Kevin Wood , C. Van den Broeck , R. Kawai , Katja Lindenberg

We study the dynamics of network-coupled phase oscillators in the presence of coupling frustration. It was recently demonstrated that in heterogeneous network topologies, the presence of coupling frustration causes perfect phase…

Adaptation and Self-Organizing Systems · Physics 2016-04-27 Per Sebastian Skardal , Dane Taylor , Jie Sun , Alex Arenas

Synchronization in a lattice of a finite population of phase oscillators with algebraically decaying, non-normalized coupling is studied by numerical simulations. A critical level of decay is found, below which full locking takes place if…

Statistical Mechanics · Physics 2009-11-07 M. Maródi , F. d'Ovidio , T. Vicsek

We report a new mechanism through which extreme events with a dragon king-like distribution emerge in a network of unidirectional ring of Hindmarsh-Rose bursting neurons interacting through chemical synapses. We establish and substantiate…

Chaotic Dynamics · Physics 2024-12-31 Ardhanareeswaran R Sree , Sudharsan S , Senthilvelan M , Dibakar Ghosh
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