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Controlling chaos caused by the current-driven ion acoustic instability is attempted using the delayed continuous feedback method, i.e., the time-delay auto synchronization (TDAS) method introduced by Pyragas [Phys. Lett. A 170 (1992)…

等离子体物理 · 物理学 2007-05-23 Takao Fukuyama , Christian Wilke , Yoshinobu Kawai

The spatiotemporal chaos in the system described by a one-dimensional nonlinear drift-wave equation is controlled by directly adding a periodic force with appropriately chosen frequencies. By dividing the solution of the system into a…

chao-dyn · 物理学 2009-10-31 Shunguang Wu , Kaifen He , Zuqia Huang

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

We study numerically a system of two lasers cross-coupled optoelectronically with a time delay where the output intensity of each laser modulates the pump current of the other laser. We demonstrate control of chaos via variable coupling…

混沌动力学 · 物理学 2016-10-12 E. M. Shahverdiev

We demonstrate targeting and control over spatiotemporal chaos in an optical feedback loop experiment. Different stationary target patterns are stabilized in real-time by means of a two dimensional space extended perturbation field driven…

混沌动力学 · 物理学 2009-11-10 L. Pastur , L. Gostiaux , U. Bortolozzo , S Boccaletti , P. L Ramazza

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…

混沌动力学 · 物理学 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii , Pavel V. Popov , Irene S. Rempen

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

Entrainment of limit cycles by chaos [1] is discovered numerically through specially designed unidirectional coupling of two glow discharge-semiconductor systems. By utilizing the auxiliary system approach [2], it is verified that the…

混沌动力学 · 物理学 2014-06-18 Marat Akhmet , Ismail Rafatov , Mehmet Onur Fen

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 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…

混沌动力学 · 物理学 2009-11-10 J. N. Blakely , L. Illing , D. J. Gauthier

We report on a significant improvement of the classical time-delayed feedback control method for stabilization of unstable periodic orbits or steady states. In an electronic circuit experiment we were able to realize time-varying and…

混沌动力学 · 物理学 2012-02-03 Thomas Jüngling , Aleksandar Gjurchinovski , Viktor Urumov

We generalize a method of control of chaos which uses delayed feedback at the period of an unstable orbit to stabilize that orbit. The generalization consists of substituting some portion of the nonlinear dynamical system with a delayed…

凝聚态物理 · 物理学 2008-02-03 M. de Sousa Vieira , A. J. Lichtenberg

Predictive Feedback Control is an easy-to-implement method to stabilize unknown unstable periodic orbits in chaotic dynamical systems. Predictive Feedback Control is severely limited because asymptotic convergence speed decreases with…

适应与自组织系统 · 物理学 2015-03-17 Christian Bick , Christoph Kolodziejski , Marc Timme

Methods of communications using chaotic signals use an ability of a chaos generator (encoder) and matched response system (decoder) to behave identically despite the instability of chaotic oscillations. Chaotic oscillations cover a wide…

chao-dyn · 物理学 2009-09-25 Nikolai F. Rulkov , Lev S. Tsimring

The paper consider a complex dynamics of electron beam with virtual cathode and local neutralization of the beam charge density near anode. Different types of nonlinear behaviour, including deterministic chaos, were treated. It is shown…

等离子体物理 · 物理学 2007-05-23 V. G. Anfinogentov , A. E. Hramov

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 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

Based on the principle of chaotification for continuous-time autonomous systems, which relies on two basic properties of chaos, i.e., globally bounded with necessary positive-zero-negative Lyapunov exponents, this paper derives a feasible…

混沌动力学 · 物理学 2016-12-21 Simin Yu , Guanrong Chen

It is demonstrated that improved entrainment control of chaotic systems can maintain periodic goal dynamics near unstable periodic orbits without feedback. The method is based on the optimization of goal trajectories and leads to small…

chao-dyn · 物理学 2008-02-03 R. Mettin

Chaos synchronization in one of charge-carrier dynamical systems in photoconductors is studied within both the replica and nonreplica approaches.It has been shown that using the boundedness of the solutions of the dynamical systems,…

凝聚态物理 · 物理学 2007-05-23 Shahverdiev E. M
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