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The present paper explores the synchronization scenario of hyperchaotic time-delayed electronic oscillators coupled indirectly via a common environment. We show that depending upon the coupling parameters a hyperchaotic time-delayed system…

Chaotic Dynamics · Physics 2013-07-23 Tanmoy Banerjee , Debabrata Biswas

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…

Optimization and Control · Mathematics 2022-03-30 K. S. Ojo , S. T. Ogunjo , I. A. Fuwape

Two mutually coupled chaotic diode lasers with individual external feedback, are shown to establish chaos synchronization in the low-frequency fluctuations regime. A third laser with identical external feedback but coupled unidirectionally…

Disordered Systems and Neural Networks · Physics 2007-05-23 Noam Gross , Einat Klein , Michael Rosenbluh , Wolfgang Kinzel , Lev Khaykovich , Ido Kanter

Distributed control algorithms are known to reduce overall computation time compared to centralized control algorithms. However, they can result in inconsistent solutions leading to the violation of safety-critical constraints. Inconsistent…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Julius Beerwerth , Maximilian Kloock , Bassam Alrifaee

We extend the concept of generalized synchronization of chaos, a phenomenon that occurs in driven dynamical systems, to the context of autonomous spatiotemporal systems. It means a situation where the chaotic state variables in an…

Chaotic Dynamics · Physics 2009-11-13 O. Alvarez-Llamoza , M. G. Cosenza

This paper addresses finite-time horizon optimal control of single-loop networked control systems with stochastically modeled communication channel and disturbances. To cope with the uncertainties, an optimization-based control scheme is…

Optimization and Control · Mathematics 2021-05-10 Jannik Hahn , Olaf Stursberg

The chaotic spike train of a homoclinic dynamical system is self-synchronized by re-inserting a small fraction of the delayed output. Due to the sensitive nature of the homoclinic chaos to external perturbations, stabilization of very long…

Chaotic Dynamics · Physics 2009-11-07 F. T. Arecchi , R. Meucci , E. Allaria , A. Di Garbo , L. S. Tsimring

We study a new class of chaotic systems with dynamical localization, where gain or loss mechanisms break the Hermiticity, while allowing for parity-time (PT) symmetry. For a value \gamma_PT of the gain or loss parameter the spectrum…

Disordered Systems and Neural Networks · Physics 2010-02-22 Carl T. West , Tsampikos Kottos , Tomaz Prosen

This paper considers a sequential estimation and sensor scheduling problem in the presence of multiple communication channels. As opposed to the classical remote estimation problem that involves one perfect (noiseless) channel and one…

Information Theory · Computer Science 2015-10-02 Xiaobin Gao , Emrah Akyol , Tamer Basar

The chaos control problem of continuous time Rabinovich chaotic system is addressed. An instantaneous control input has been designed using predictive control principle to guarantee the convergence of the chaotic trajectory towards an…

Dynamical Systems · Mathematics 2017-02-22 Ayub Khan , Dinesh Khattar , Nitish Prajapati

In this paper we show that the analysis of the dynamics in localized regions, i.e., sub-systems can be used to characterize the chaotic dynamics and the synchronization ability of the spatiotemporal systems. Using noisy scalar time-series…

chao-dyn · Physics 2009-10-30 Nita Parekh , V. Ravi Kumar , B. D. Kulkarni

Although the set of permutation symmetries of a complex network can be very large, few of the symmetries give rise to stable synchronous patterns. Here we present a new framework and develop techniques for controlling synchronization…

Chaotic Dynamics · Physics 2016-05-04 Weijie Lin , Huawei Fan , Ying Wang , Heping Ying , Xingang Wang

In a recent paper [Phys. Rev. E 57, p. 1550 (1998)] we demonstrated that the symmetries of the evolution equation and the target state have a profound effect on the selection of the admissible control parameters. In the present paper we…

chao-dyn · Physics 2007-05-23 R. O. Grigoriev

The chaotic synchronization of two electron-wave media with interacting backward waves and cubic phase nonlinearity is investigated in the paper. To detect the chaotic synchronization regime we use a new approach, the so-called time scale…

Chaotic Dynamics · Physics 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii , Pavel V. Popov , Irene S. Rempen

This paper describes the security weakness of a recently proposed secure communication method based on discrete-time chaos synchronization. We show that the security is compromised even without precise knowledge of the chaotic system used.…

Chaotic Dynamics · Physics 2007-05-23 Gonzalo Alvarez , Fausto Montoya , Miguel Romera , Gerardo Pastor

This paper studies the security of a secure communication scheme based on two discrete-time intermittently-chaotic systems synchronized via a common random driving signal. Some security defects of the scheme are revealed: 1) the key space…

Chaotic Dynamics · Physics 2016-08-16 Shujun Li , Gonzalo Álvarez , Guanrong Chen , Xuanqin Mou

Recent studies have demonstrated the potential of flexible loads in providing frequency response services. However, uncertainty and variability in various weather-related and end-use behavioral factors often affect the demand-side control…

Systems and Control · Electrical Eng. & Systems 2021-06-29 Sai Pushpak Nandanoori , Soumya Kundu , Jianming Lian , Umesh Vaidya , Draguna Vrabie , Karanjit Kalsi

A model for autonomous feedback control of particle transport through a large number of channels is introduced. Interactions among the particles can lead to a strong suppression of fluctuations in the particle number statistics. Within a…

Statistical Mechanics · Physics 2016-02-25 Tobias Brandes

The problem of dynamic estimation of all parameters of a model representing chaotic and hyperchaotic systems using information from a scalar measured output is solved. The variational calculus based method is robust in the presence of…

Chaotic Dynamics · Physics 2015-06-26 Rahul Konnur

We introduce a novel approach for controlling fast chaos in time-delay dynamical systems and use it to control a chaotic photonic device with a characteristic time scale of ~12 ns. Our approach is a prescription for how to implement…

Chaotic Dynamics · Physics 2009-11-10 J. N. Blakely , L. Illing , D. J. Gauthier