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Taming chaos arising from dissipative non-autonomous nonlinear systems by applying additional harmonic excitations is a reliable and widely used procedure nowadays. But the suppressory effectiveness of generic non-harmonic periodic…

混沌动力学 · 物理学 2017-07-24 Pedro J. Martínez , Stefano Euzzor , Jason A. C. Gallas , Riccardo Meucci , Ricardo Chacón

Impulsive control is used to suppress the chaotic behavior in an one-dimensional discrete supply and demand dynamical system. By perturbing periodically the state variable with constant impulses, the chaos can be suppressed. It is proved…

混沌动力学 · 物理学 2019-10-03 M. -F. Danca , M. Feckan

Characterizing the emergence of chaotic dynamics of complex networks is an essential task in nonlinear science with potential important applications in many fields such as neural control engineering, microgrid technologies, and ecological…

适应与自组织系统 · 物理学 2024-04-29 Ricardo Chacón , Pedro J. Martínez

Networks of chaotic units with static couplings can synchronize to a common chaotic trajectory. The effect of dynamic adaptive couplings on the cooperative behavior of chaotic networks is investigated. The couplings adjust to the activities…

混沌动力学 · 物理学 2013-04-12 Marco Winkler , Sebastian Butsch , Wolfgang Kinzel

We explore the behaviour of an ensemble of chaotic oscillators coupled only to an external chaotic system, whose intrinsic dynamics may be similar or dissimilar to the group. Counter-intuitively, we find that a dissimilar external system…

混沌动力学 · 物理学 2017-01-23 Sudhanshu Shekhar Chaurasia , Sudeshna Sinha

We explore the behaviour of chaotic oscillators in hierarchical networks coupled to an external chaotic system whose intrinsic dynamics is dissimilar to the other oscillators in the network. Specifically, each oscillator couples to the…

混沌动力学 · 物理学 2019-05-22 Sudhanshu Shekhar Chaurasia , Sudeshna Sinha

In this paper, a nonlinear system aiming at reducing the signal transmission rate in a networked control system is constructed by adding nonlinear constraints to a linear feedback control system. Its stability is investigated in detail. It…

混沌动力学 · 物理学 2015-06-19 Guofeng Zhang , Tongwen Chen

We study the dynamical stability of pulse coupled networks of leaky integrate-and-fire neurons against infinitesimal and finite perturbations. In particular, we compare current versus fluctuations driven networks, the former (latter) is…

无序系统与神经网络 · 物理学 2015-06-18 David Angulo-Garcia , Alessandro Torcini

Diluted neural networks with continuous neurons and nonmonotonic transfer function are studied, with both fixed and dynamic synapses. A noisy stimulus with periodic variance results in a mechanism for controlling chaos in neural systems…

无序系统与神经网络 · 物理学 2009-10-31 D. Caroppo , M. Mannarelli , G. Nardulli , S. Stramaglia

One major objective of controlling classical chaotic dynamical systems is exploiting the system's extreme sensitivity to initial conditions in order to arrive at a predetermined target state. In a recent letter [Phys.~Rev.~Lett. 130, 020201…

量子物理 · 物理学 2023-09-06 Steven Tomsovic , Juan Diego Urbina , Klaus Richter

Chaos control in Random Boolean networks is implemented by freezing part of the network to drive it from chaotic to ordered phase. However, controlled nodes are only viewed as passive blocks to prevent perturbation spread. This paper…

元胞自动机与格子气 · 物理学 2015-05-20 Nan Jiang , Shijian Chen

The dynamics of activation waves in excitable media can give rise to spiral turbulence, the resulting spatiotemporal chaos being associated with empirical biological phenomena such as life-threatening disturbances in the natural rhythm of…

混沌动力学 · 物理学 2008-04-07 S. Sridhar , Sitabhra Sinha

Controlling spatiotemporal chaos in excitable media by applying low-amplitude perturbations {\em locally} is of immediate applicability, e.g., in treating ventricular fibrillation, a fatal disturbance in the normal rhythmic functioning of…

混沌动力学 · 物理学 2007-05-23 Johannes Breuer , Sitabhra Sinha

In this set of lectures, we review briefly some of the recent developments in the study of the chaotic dynamics of nonlinear oscillators, particularly of damped and driven type. By taking a representative set of examples such as the…

chao-dyn · 物理学 2009-10-30 M. Lakshmanan

We examine a strange chaotic attractor and its unstable periodic orbits in case of one degree of freedom nonlinear oscillator with non symmetric potential. We propose an efficient method of chaos control stabilizing these orbits by a…

混沌动力学 · 物理学 2015-06-26 G. Litak , M. Ali , L. M. Saha

One of the principal goals of controlling classical chaotic dynamical systems is known as targeting, which is the very weakly perturbative process of using the system's extreme sensitivity to initial conditions in order to arrive at a…

混沌动力学 · 物理学 2023-01-25 Steven Tomsovic , Juan Diego Urbina , Klaus Richter

Control over the quantum dynamics of chaotic kicked rotor systems is demonstrated. Specifically, control over a number of quantum coherent phenomena is achieved by a simple modification of the kicking field. These include the enhancement of…

量子物理 · 物理学 2009-11-10 Jiangbin Gong , Hans Jakob Worner , Paul Brumer

This paper studies the problem of event-triggered impulsive control for discrete-time systems. A novel periodic event-triggering scheme with two tunable parameters is presented to determine the moments of updating impulsive control signals…

最优化与控制 · 数学 2023-04-28 Kexue Zhang , Elena Braverman

Biological information processing is often carried out by complex networks of interconnected dynamical units. A basic question about such networks is that of reliability: if the same signal is presented many times with the network in…

混沌动力学 · 物理学 2015-06-11 Guillaume Lajoie , Kevin K. Lin , Eric Shea-Brown

In present paper we discuss the control of complex spatio-temporal dynamics in a {spatially extended} non-linear system (fluid model of Pierce diode) based on the concepts of controlling chaos in the systems with few degrees of freedom. A…

等离子体物理 · 物理学 2007-05-23 Alexander Hramov , Alexey koronovskii , Irene Rempen
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