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We study the effect of memory on synchronization of identical chaotic systems driven by common external noises. Our examples show that while in general synchronization transition becomes more difficult to meet when memory range increases,…

Chaotic Dynamics · Physics 2009-11-11 Rafael Morgado , Michal Ciesla , Lech Longa , Fernando A. Oliveira

Two remote agents with synchronized clocks may use them to act in concert and communicate. This necessitates some means of creating and maintaining synchrony. One method, not requiring any direct interaction between the agents, is to expose…

Statistical Mechanics · Physics 2026-05-20 Benjamin Sorkin , Thomas A. Witten

The realization of novel scenario involving transitions between different types of chaotic attractors is investigated for the Rossler system. Characteristic features indicative of the presence of generalized intermittency scenario in this…

Chaotic Dynamics · Physics 2025-11-06 O. O. Horchakov , A. Yu. Shvets

Effect of noise in inducing order on various chaotically evolving systems is reviewed, with special emphasis on systems consisting of coupled chaotic elements. In many situations it is observed that the uncoupled elements when driven by…

chao-dyn · Physics 2015-06-24 Manojit Roy , R. E. Amritkar

Nonlinear dynamical systems possessing an invariant subspace in the phase space and chaotic or stochastic motion within the subspace often display on-off intermittency close to the threshold of stability of the subspace. In a class of…

Chaotic Dynamics · Physics 2009-10-31 Bambi Hu , Changsong Zhou

The main aim of this comment is to emphasize that the conditional Lyapunov exponents play an important role in distinguishing between intermittent and persistent synchronization, when the analytic criteria for asymptotic stability are not…

Chaotic Dynamics · Physics 2009-10-31 P. Muruganandam , S. Parthasarathy , M. Lakshmanan

The Vicsek model has long stood as a pivotal framework in exploring collective behavior and self-organization, captivating the scientific community with its compelling dynamics. However, understanding how noise influences synchronization…

Mathematical Physics · Physics 2025-03-10 Wei Su , Yongguang Yu , Ge Chen

We study the phase synchronization (PS) with type-II intermittency showing $\pm 2 \pi$ irregular phase jumping behavior before the PS transition occurs in a system of two coupled hyperchaotic R\"{o}ssler oscillators. The behavior is…

chao-dyn · Physics 2009-10-31 Inbo Kim , Chil-Min Kim , Won-Ho Kye , Young-Jai Park

Transitions in the dynamics of complex systems can be characterized by changes in the synchronization behavior of their components. Taking the human cardio-respiratory system as an example and using an automated procedure for screening the…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Ronny Bartsch , Jan W. Kantelhardt , Thomas Penzel , Shlomo Havlin

Extraneous motion of optical elements in an interferometer lead to excess noise. Typically, fluctuations in the effective path length lead to phase noise, while beam-pointing leads to apparent amplitude noise. For a transmissive optic…

Instrumentation and Detectors · Physics 2018-07-12 Vivishek Sudhir , Peter Fritschel , Nergis Mavalvala

Numerous biological and microscale systems exhibit synchronization in noisy environments. The theory of such noisy oscillators and their synchronization has been developed and experimentally demonstrated, but inferring the noise intensity…

Adaptation and Self-Organizing Systems · Physics 2025-01-09 Hisa-Aki Tanaka , Somei Suga , Akira Keida , Hiroya Nakao , Yutaka Jitsumatsu , István Z. Kiss

The behavior of two unidirectionally coupled chaotic oscillators near the generalized synchronization onset has been considered. The character of the boundaries of the generalized synchronization regime has been explained by means of the…

Chaotic Dynamics · Physics 2007-05-23 A. E. Hramov , A. A. Koronovskii , O. I. Moskalenko

We study the constructive role of noises in a Lorenz system with functional delay. The effect of delay can change the dynamics of the system to a chaotic one from its steady state. Induced synchronization with white and colored (red and…

Chaotic Dynamics · Physics 2017-07-19 Soumen Majhi , Bidesh K. Bera , Santo Banerjee , Dibakar Ghosh

Coherence-resonance chimera was discovered in [Phys. Rev. Lett. 117, 014102 (2016)], which combines the effect of coherence resonance and classical chimeras in the presence of noise in a network of type-II excitable systems. However, the…

Adaptation and Self-Organizing Systems · Physics 2022-11-23 Taniya Khatun , Biswabibek Bandyopadhyay , Tanmoy Banerjee

The influence of topological defects on phase synchronization and phase coherence in two-dimensional arrays of locally-coupled, nonidentical, chaotic oscillators is investigated. The motion of topological defects leads to a breakdown of…

Statistical Mechanics · Physics 2009-11-07 J. Davidsen , R. Kapral

This paper concerns modeling of the evolution of intermittency region between two weakly miscible phases due to temporal and spatial variations of its characteristic length scale. First, the need of a more general description allowing for…

Fluid Dynamics · Physics 2020-09-29 Tomasz Wacławczyk

An analysis of transition from chaotic to nonchaotic behavior and synchronization in an ensemble of systems driven by identical random forces is presented. The synchronization phenomenon is investigated in the ensemble of particles moving…

chao-dyn · Physics 2015-06-24 B. Kaulakys , F. Ivanauskas , T. Meskauskas

On the basis of a lattice gas model and the convolution formula with cell construction scheme, we demonstrate that intermittency in the rapidity-space with respect to the scaled moments comes from a phase transition between ordered phase…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. R. Nakamura , K. Kudo , T. Hashimoto , I. Yoneda

We show that intermittency of noiselike emission, after propagation through a scattering medium, affects the distribution of noise in the observed correlation function. Intermittency also affects correlation of noise among channels of the…

Astrophysics of Galaxies · Physics 2015-05-27 Carl R. Gwinn , Michael D. Johnson

We study the effects of noise on the collective dynamics of an ensemble of coupled phase oscillators whose natural frequencies are all identical, but whose coupling strengths are not the same all over the ensemble. The intensity of noise…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Damian H. Zanette