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In this contribution, we have considered the collective behavior of the two as well as the network of heterogeneous coupled Hindmarsh Rose (HR) neurons. The heterogeneous models were made of a memristive 2D (HR) and the traditional 3D HR…

神经元与认知 · 定量生物学 2023-02-24 Zeric Tabekoueng Njitacke , Sishu Shankar Muni , Soumyajit Seth , Jan Awrejcewicz , Jacques Kengne

Complex multiplex networks consist of several subnetwork layers, which interact via pairwise inter-layer connections. Relay synchronization between distant layers which are not directly connected, but only via a relay layer, can be observed…

适应与自组织系统 · 物理学 2019-07-24 Marius Winkler , Jakub Sawicki , Iryna Omelchenko , Anna Zakharova , Vadim Anishchenko , Eckehard Schöll

The paper investigates a new hybrid synchronization called modified hybrid synchronization (MHS) via the active control technique. Using the active control technique, stable controllers which enable the realization of the coexistence of…

最优化与控制 · 数学 2022-03-30 K. S. Ojo , S. T. Ogunjo , I. A. Fuwape

We study the encryption and decryption processes of color images using the synchronization of polarization dynamics in a free-running vertical-cavity surface-emitting laser (VCSEL). Here, we consider a bidirectional master-slave…

光学 · 物理学 2018-10-16 A. Roy , A. P. Misra , S. Banerjee

We investigate the synchronization behavior and the emergence of chimera states in a system of two interacting populations of maps possessing chaotic neural-like dynamics. We characterize four collective states on the space of coupling…

适应与自组织系统 · 物理学 2024-07-31 V. J. Márquez-Rodríguez , K. Tucci , M. G. Cosenza

Coherent control of chaotic molecular systems, using laser-assisted alignment of sulphur dioxide (SO$_2$) molecules in the presence of a static electric field as an example, is considered. Conditions for which the classical version of this…

化学物理 · 物理学 2017-04-26 Johannes Floß , Paul Brumer

We theoretically study analytic-phase synchronization in strongly-competing oscillator systems. Using the example of composite-cavity modes coupled via a class-B laser active medium, we discover that inherent chaotic phase synchronization…

混沌动力学 · 物理学 2007-05-23 Sebastian Wieczorek , Weng W. Chow

We study dynamics of a serial array of spin-torque-oscillators with a parallel inductor-capacitor-resistor (LCR) load. In a large range of parameters the fully synchronous regime, where all the oscillators have the same state and the output…

适应与自组织系统 · 物理学 2015-06-16 Arkady Pikovsky

Many oscillator networks are multistable, meaning that different synchronization states are realized depending on the initial conditions. In this paper, we numerically analyze a ring network of phase oscillators, in which synchronous states…

适应与自组织系统 · 物理学 2026-03-06 Soomin Kim , Hiroshi Kori

The effect of quenched disorder in a many-body system is experimentally investigated in a controlled fashion. It is done by measuring the phase synchronization (i.e. mutual coherence) of 400 coupled lasers as a function of tunable disorder…

The emergence of synchronization in a network of coupled oscillators is a fascinating topic in various scientific disciplines. A coupled oscillator network is characterized by a population of heterogeneous oscillators and a graph describing…

最优化与控制 · 数学 2015-06-05 Florian Dörfler , Michael Chertkov , Francesco Bullo

In this work we describe a simple method of encoding information at real time in the inter-spike intervals of a homoclinic chaotic system. This has been experimentally tested by means of an instantaneous synchronization between the laser…

混沌动力学 · 物理学 2007-05-23 I. P. Marino , E. Allaria , R. Meucci , S. Boccaletti , F. T. Arecchi

Chimera is a rich and fascinating class of self-organized solutions developed in high dimensional networks having non-local and symmetry breaking coupling features. Its accurate understanding is expected to bring important insight in many…

光学 · 物理学 2018-10-03 Laurent Larger , Bogdan Penkovsky , Yuri Maistrenko

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…

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…

斑图形成与孤子 · 物理学 2009-11-10 R. Neubecker , B. Guetlich

In this letter, we perform a sensitivity analysis on the master stability function approach for the synchronization of networks of coupled dynamical systems. More specifically, we analyze the linear stability of a nearly synchronized…

无序系统与神经网络 · 物理学 2015-05-27 Francesco Sorrentino , Maurizio Porfiri

We use a generic model for type-I excitability (known as the SNIPER or SNIC model) to describe the local dynamics of nodes within a network in the presence of non-zero coupling delays. Utilising the method of the Master Stability Function,…

无序系统与神经网络 · 物理学 2016-08-10 Andrew Keane , Thomas Dahms , Judith Lehnert , Sachin Aralasurali Suryanarayana , Philipp Hövel , Eckehard Schöll

We have developed a simple cellular automata model for nonlinearly coupled phase oscillators which can exhibit many important collective dynamical states found in other synchronizing systems. The state of our system is specified by a set of…

适应与自组织系统 · 物理学 2017-06-29 Amitava Banerjee , Muktish Acharyya

Zero-lag synchronization (ZLS) is achieved in a very restricted mutually coupled chaotic systems, where the delays of the self-coupling and the mutual coupling are identical or fulfil some restricted ratios. Using a set of multiple…

混沌动力学 · 物理学 2008-11-26 Meital Zigzag , Maria Butkovski , Anja Englert , Wolfgang Kinzel , Ido Kanter

We present a methodology for synchronization of chaotic oscillators with linear feedback control. The proposed method is based on analyzing the chaotic oscillator as a multi-mode linear system and deriving sufficient conditions for…

混沌动力学 · 物理学 2019-01-24 Keyur Mistry , Sudeshna Dash , Siddharth Tallur