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In this report, we develop a semistability analysis framework for nonlinear systems with bounded time-varying delays with applications to stability analysis of multiagent dynamic networks with consensus protocols in the presence of unknown…

最优化与控制 · 数学 2013-06-03 Qing Hui

In finite-dimensional, chaotic, Lorenz-like wave-particle dynamical systems one can find diffusive trajectories, which share their appearance with that of laminar chaotic diffusion [Phys. Rev. Lett. 128, 074101 (2022)] known from delay…

混沌动力学 · 物理学 2023-01-18 David Müller-Bender , Rahil N. Valani , Günter Radons

We study chaos synchronization between Josephson junctions governed by a central junction with a time delay and demonstrate with numerical simulations the possibility of high quality synchronization. The results are important for obtaining…

混沌动力学 · 物理学 2015-09-25 E. M. Shahverdiev , L. H. Hashimova , P. A. Bayramov , R. A. Nuriev

We reinvestigate the dynamical behavior of a first order scalar nonlinear delay differential equation with piecewise linearity and identify several interesting features in the nature of bifurcations and chaos associated with it as a…

混沌动力学 · 物理学 2015-06-26 D. V. Senthilkumar , M. Lakshmanan

Integrable non-linear Hamiltonian systems perturbed by additive noise develop a Lyapunov instability, and are hence chaotic, for any amplitude of the perturbation. This phenomenon is related, but distinct, from Taylor's diffusion in…

混沌动力学 · 物理学 2014-01-03 Khanh-Dang Nguyen Thu Lam , Jorge Kurchan

Understanding the far-from-equilibrium dynamics of dissipative quantum systems, where dissipation and decoherence coexist with unitary dynamics, is an enormous challenge with immense rewards. Often, the only realistic approach is to forgo a…

统计力学 · 物理学 2023-11-06 Lucas Sá

A fundamental issue in nonlinear dynamics and statistical physics is how to distinguish chaotic from stochastic fluctuations in short experimental recordings. This dilemma underlies many complex systems models from stochastic gene…

混沌动力学 · 物理学 2010-04-12 Chi-Sang Poon , Cheng Li , Guo-Qiang Wu

A synchronization mechanism driven by annealed noise is studied for two replicas of a coupled-map lattice which exhibits stable chaos (SC), i.e. irregular behavior despite a negative Lyapunov spectrum. We show that the observed…

统计力学 · 物理学 2007-05-23 F. Bagnoli , F. Cecconi

This paper examines the problem of stabilizing linear distributed delay systems with nonlinear distributed delay kernels and dissipativity constraints. Specifically, the nonlinear distributed kernel includes functions such as polynomials,…

系统与控制 · 电气工程与系统科学 2023-10-18 Qian Feng , Sing Kiong Nguang

In this paper, a numerical study on the complete synchronization phenomenon exhibited by coupled forced negative conductance circuits is presented. The nonlinear system exhibiting two types of chaotic attractors is studied for complete…

混沌动力学 · 物理学 2017-02-27 G. Sivaganesh

Time-delay chaotic systems refer to the hyperchaotic systems with multiple positive Lyapunov exponents. It is characterized by more complex dynamics and a wider range of applications as compared to those non-time-delay chaotic systems. In a…

动力系统 · 数学 2021-03-29 Erxi Zhu , Min Xu , Dechang Pi

A method to synchronize two chaotic systems with anticipation or lag, coupled in the drive response mode, is proposed. The coupling involves variable delay with three time scales. The method has the advantage that synchronization is…

混沌动力学 · 物理学 2015-05-13 G. Ambika , R. E. Amritkar

This paper studies the finite-time stability and stabilization of linear discrete time-varying stochastic systems with multiplicative noise. Firstly, necessary and sufficient conditions for finite-time stability are presented via state…

最优化与控制 · 数学 2018-06-25 Tianliang Zhang , Feiqi Deng , Weihai Zhang

This paper studies the stability of sampled and networked control systems with sampling and communication times governed by probabilistic clocks. The clock models have few restrictions, and can be used to model numerous phenomena such as…

系统与控制 · 计算机科学 2014-10-09 Andrew Lamperski

Recently, it was shown that certain systems with large time-varying delay exhibit different types of chaos, which are related to two types of time-varying delay: conservative and dissipative delays. The known high-dimensional Turbulent…

适应与自组织系统 · 物理学 2020-03-24 David Müller-Bender , Andreas Otto , Günter Radons , Joseph D. Hart , Rajarshi Roy

Generalized synchronization is analyzed in unidirectionally coupled oscillatory systems exhibiting spatiotemporal chaotic behavior described by Ginzburg-Landau equations. Several types of coupling betweenthe systems are analyzed. The…

混沌动力学 · 物理学 2007-05-23 A. A. Koronovskii , P. V. Popov , A. E. Hramov

Synchronization of spatiotemporally chaotic extended systems is considered in the context of coupled one-dimensional Complex Ginzburg-Landau equations (CGLE). A regime of coupled spatiotemporal intermittency (STI) is identified and…

chao-dyn · 物理学 2009-10-28 A. Amengual , E. Hernandez-Garcia , R. Montagne , M. San Miguel

Output feedback controlled synchronization problems for a class of nonlinear unstable systems under information constraints imposed by limited capacity of the communication channel are analyzed. A binary time-varying coder-decoder scheme is…

最优化与控制 · 数学 2009-11-13 Alexander L. Fradkov , Boris Andrievsky , Robin J. Evans

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…

混沌动力学 · 物理学 2016-08-16 A. C. Martí , C. Masoller

A model with hyperchaos is studied by means of Lyapunov two-parameter analysis. The regions of chaos and hyperchaos, as well as autonomous quasiperiodicity are identified. We discuss the picture of domains of different regimes in the…

混沌动力学 · 物理学 2015-04-06 Alexander P. Kuznetsov , Yuliya V. Sedova