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The existence of anticipatory, complete and lag synchronization in a single system having two different time-delays, that is feedback delay $\tau_1$ and coupling delay $\tau_2$, is identified. The transition from anticipatory to complete…

Chaotic Dynamics · Physics 2009-11-10 D. V. Senthilkumar , M. Lakshmanan

Existence of a new type of oscillating synchronization that oscillates between three different types of synchronizations (anticipatory, complete and lag synchronizations) is identified in unidirectionally coupled nonlinear time-delay…

Chaotic Dynamics · Physics 2007-05-23 D. V. Senthilkumar , M. Lakshmanan

Stability of synchronization in unidirectionally coupled time-delay systems is studied using the Krasovskii-Lyapunov theory. We have shown that the same general stability condition is valid for different cases, even for the general…

Chaotic Dynamics · Physics 2015-05-13 D. V. Senthilkumar , J. Kurths , M. Lakshmanan

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

Optimization and Control · Mathematics 2008-05-23 Luca Scardovi , Rodolphe Sepulchre

We report mixed lag synchronization in coupled counter-rotating oscillators. The trajectories of counter-rotating oscillators has opposite directions of rotation in uncoupled state. Under diffusive coupling via a scalar variable, a mixed…

Chaotic Dynamics · Physics 2013-10-08 Sourav K. Bhowmick , Dibakar Ghosh , Syamal K. Dana

We study the synchronization of a linear array of globally coupled identical logistic maps. We consider a time-delayed coupling that takes into account the finite velocity of propagation of the interactions. We find globally synchronized…

Chaotic Dynamics · Physics 2016-08-16 A. C. Martí , C. Masoller

A clock synchronizing circuit for repeaterless low swing interconnects is presented in this paper. The circuit uses a delay locked loop (DLL) to generate multiple phases of the clock, of which the one closest to the center of the eye is…

Hardware Architecture · Computer Science 2015-10-15 Naveen Kadayinti , Maryam Shojaei Baghini , Dinesh K. Sharma

Crowd synchrony and quorum sensing arise when a large number of dynamical elements communicate with each other via a common information pool. Previous evidence in different fields, including chemistry, biology and civil engineering, has…

Optics · Physics 2015-05-20 Jordi Zamora-Munt , C. Masoller , Jordi Garcia-Ojalvo , Rajarshi Roy

A lattice of three-state stochastic phase-coupled oscillators introduced by Wood it et al. exhibits a phase transition at a critical value of the coupling parameter $a$, leading to stable global oscillations (GO). On a complete graph, upon…

Statistical Mechanics · Physics 2019-12-10 Kevin Liu Rodrigues , Ronald Dickman

We report a design of delay coupling for lag synchronization in two unidirectionally coupled chaotic oscillators. A delay term is introduced in the definition of the coupling to target any desired lag between the driver and the response.…

Chaotic Dynamics · Physics 2012-06-29 Sourav K. Bhowmick , Pinaki Pal , Prodyot K. Roy , Syamal K. Dana

Spatially extended dynamical systems, namely coupled map lattices, driven by additive spatio-temporal noise are shown to exhibit stochastic synchronization. In analogy with low-dymensional systems, synchronization can be achieved only if…

Chaotic Dynamics · Physics 2009-10-31 Lucia Baroni , Roberto Livi , Alessandro Torcini

We consider small network models for mutually delay-coupled systems which typically do not exhibit stable isochronally synchronized solutions. We show that for certain coupling architectures which involve delayed self feedback to the nodes,…

Chaotic Dynamics · Physics 2015-06-26 Ira B. Schwartz , Leah B. Shaw

Synchronization of chaotic units coupled by their time delayed variables are investigated analytically. A new type of cooperative behavior is found: sublattice synchronization. Although the units of one sublattice are not directly coupled…

Chaotic Dynamics · Physics 2009-11-13 Johannes Kestler , Wolfgang Kinzel , Ido Kanter

The mechanism of phase synchronization between uncoupled limit-cycle oscillators induced by common external impulsive forcing is analyzed. By reducing the dynamics of the oscillator to a random phase map, it is shown that phase…

Adaptation and Self-Organizing Systems · Physics 2007-06-13 H. Nakao , K. Arai , K. Nagai , Y. Tsubo , Y. Kuramoto

The notion of phase synchronization in time-delay systems, exhibiting highly non-phase-coherent attractors, has not been realized yet even though it has been well studied in chaotic dynamical systems without delay. We report the…

Chaotic Dynamics · Physics 2009-11-13 D. V. Senthilkumar , M. Lakshmanan , J. Kurths

We present the first report on chaos synchronization between two unidirectionally linearly and nonlinearly coupled systems with multiple time-delays and using the Razumikhin-Lyapunov approach find the existence and stability conditions for…

Chaotic Dynamics · Physics 2009-11-10 E. M. Shahverdiev

Recently, a novel mixed-synchronization phenomenon is observed in counter-rotating nonlinear coupled oscillators. In mixed-synchronization state: some variables are synchronized in-phase, while others are out-of-phase. We have…

Chaotic Dynamics · Physics 2011-05-31 Amit Sharma , Manish Dev Shrimali

We report the first experimental evidence of a successful synchronization of spatiotemporal chaos. The experiments were performed on two unidirectionally coupled, nonlinear-optical systems of single-feedback type. The synchronization was…

Pattern Formation and Solitons · Physics 2009-11-10 R. Neubecker , B. Guetlich

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

In a quasi-1D thermal convective system consisting of a large array of nonlinearly coupled oscillators, clustering is the way to achieve a regime of mostly antiphase synchronized oscillators. This regime is characterized by a spatiotemporal…

Chaotic Dynamics · Physics 2011-03-10 M. A. Miranda , J. Burguete