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Relay synchronization in complex networks is characterized by the synchronization of remote parts of the network due to their interaction via a relay. In multilayer networks, distant layers that are not connected directly can synchronize…

Adaptation and Self-Organizing Systems · Physics 2020-05-20 Fenja Drauschke , Jakub Sawicki , Rico Berner , Iryna Omelchenko , Eckehard Schöll

This short paper addresses quasi synchronization of heterogeneous complex dynamical networks. The similarity and difference between synchronization of homogeneous systems and quasi synchronization of heterogeneous complex dynamical networks…

Chaotic Dynamics · Physics 2021-06-08 Tianping Chen

We study a system of four identical globally coupled phase oscillators with biharmonic coupling function. Its dimension and the type of coupling make it the minimal system of Kuramoto-type (both in the sense of the phase space's dimension…

Chaotic Dynamics · Physics 2023-08-16 Aleksei M. Arefev , Evgeny A. Grines , Grigory V. Osipov

We present the first report on inverse chaos synchronization where a driven modulated multiple time-delay chaotic system synchronizes to the inverse state of the driver system. Numerical simulations fully support the analytical approach.

Chaotic Dynamics · Physics 2010-07-06 E. M. Shahverdiev

We investigate cluster synchronization in coupled map networks in the presence of heterogeneous delays. We find that while parity of heterogeneous delays plays a crucial role in determining the phenomenon of cluster formation, the…

Chaotic Dynamics · Physics 2014-12-02 Sarika Jalan , Aradhana Singh

In this paper a new type of chaotic system based on sin and logistic systems is introduced. Also the behavior of this new system is studied by using various tests. The results of these tests indicate the appropriate behavior for the…

Dynamical Systems · Mathematics 2021-01-26 Reza Parvaz

Synchronization in networks with delayed coupling are ubiquitous in nature and play a key role in almost all fields of science including physics, biology, ecology, climatology and sociology. In general, the published works on network…

A generalized model of starlike network is suggested that takes into account non-additive coupling and nonlinear transformation of coupling variables. For this model a method of analysis of synchronized cluster stability is developed. Using…

Chaotic Dynamics · Physics 2016-05-02 Pavel V. Kuptsov , Anna V. Kuptsova

Full synchronization of dynamical elements coupled via hypergraphs can be analyzed with the hypergraph projection onto dyadic matrices, but this is not sufficient for analyzing cluster synchronization. Here we develop the necessary…

Adaptation and Self-Organizing Systems · Physics 2022-03-21 Anastasiya Salova , Raissa M. D'Souza

We present an extended analysis, based on the dynamics towards synchronization of a system of coupled oscillators, of the hierarchy of communities in complex networks. In the synchronization process, different structures corresponding to…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 Alex Arenas , Albert Diaz-Guilera , Conrad J. Perez-Vicente

An analogy between crowd synchrony and multi-layer neural network architectures is proposed. It indicates that many non-identical dynamical elements (oscillators) communicating indirectly via a few mediators (hubs) can synchronize when the…

Chaotic Dynamics · Physics 2015-06-04 Elad Cohen , Michael Rosenbluh , Ido Kanter

A high degree of chaos synchronization among transverse mode pairs with parity-symmetric polarizations was demonstrated in a laser-diode pumped thin-slice c-cut Nd: GdVO4 laser. The amplitude correlation coefficient greater than R > 0.994…

Optics · Physics 2020-10-12 Kenju Otsuka

Physical chaos is a fascinating prospect for high-speed data security by serving as a masking carrier or a key source, but suffers from a colored spectrum that divulges system's intrinsic oscillations and degrades randomness. Here, we…

Optics · Physics 2017-02-20 Anbang Wang , Yuncai Wang , Bingjie Wang , Lei Li , Mingjiang Zhang , Wendong Zhang

This paper describes the security weaknesses of a recently proposed secure communication method based on chaotic masking using projective synchronization of two chaotic systems. We show that the system is insecure and how to break it in two…

Chaotic Dynamics · Physics 2007-10-23 Gonzalo Alvarez , Shujun Li , F. Montoya , M. Romera , G. Pastor

We investigate synchronization and subsequently communication using chaotic rare-earth-doped fiber ring lasers, represented by a physically realistic model. The lasers are coupled by transmitting a fraction c of the circulating electric…

We study synchronization of $N$ oscillators indirectly coupled through a medium which is inhomogeneous and has its own dynamics. The system is formalized in terms of a multilayer network, where the top layer is made of disconnected…

Chaotic Dynamics · Physics 2015-04-24 Lucia Valentina Gambuzza , Mattia Frasca , Jesus Gomez-Gardeñes

This article studies the synchronization problem of complex dynamical networks. The impulsive control method is considered with a novel event-triggered pinning algorithm. Sufficient conditions on the network topology are obtained to ensure…

Optimization and Control · Mathematics 2024-02-29 Kexue Zhang

In this article, a new synchronization scheme is presented by combining the concept of reduced-order synchronization with multi-switching synchronization schemes. The presented scheme, reduced-order multi-switching hybrid synchronization,…

Chaotic Dynamics · Physics 2018-04-10 Ayub Khan , Dinesh Khattar , Nitish Prajapati

The dynamics of a semiconductor-laser array whose individual elements are coupled in a global way through an external mirror is numerically analysed. A coherent in-phase solution is seen to be preferred by the system at intermediate values…

adap-org · Physics 2015-06-24 J. Garcia-Ojalvo , J. Casademont , C. R. Mirasso , M. C. Torrent , J. M. Sancho

A special scenario of the topology in the hybrid Cognitive Ad-hoc networks is studied and a novel cross layer scheme is proposed in this paper. The proposed scheme integrated the attributes both of the new performance evaluation machine…

Networking and Internet Architecture · Computer Science 2009-11-10 Yingji Zhong , Sana Ullah , Kyung Sup Kwak
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