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Research on Synchronizations by OPCL Method in Time Delay Systems

Author: LuShuang
Tutor: ZhangYan
School: Lanzhou University
Course: Theoretical Physics
Keywords: Delay systems Periodic state Closed-loop control method Response system Delay Differential Systems Chaos synchronization Drive system Generalized synchronization Bifurcation diagram Intermittent chaos Chaotic state Open-loop Chaotic system Fully synchronized Adjustment factor Chaos Control Attract subgraph Lyapunov exponent Chaotic bands Chaos
CLC: O415.5
Type: Master's thesis
Year: 2011
Downloads: 14
Quote: 0
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Abstract

In this paper, by extending the \The main work is as follows: the application in parameter matching conditions \The bifurcation diagram for Delay Differential Systems in equilibrium, periodic and chaotic state parameter distribution range, open-loop and closed-loop control is applied to the system in different parameter range, the response system can be synchronized with the movement of the drive system. Other hand, the open loop having a cycle obtained by controlling the adjustable response system states and through synchronization obtained chaotic state amplitude control and phase adjustment of plus adjustment factors in the closed-loop control method: If the adjustment factor greater than 1, the response system the amplitude is amplified; equal to 1, the drive system is fully synchronized with the response system; less than 1, in response to the amplitude of the system is reduced. If the adjustment factor is positive, consistent with the phase trajectory of the drive system and the response system, and vice versa, the adjustment factor is negative, the phase of the drive system and the response system trajectory opposite. Parameter mismatch and noise conditions Delay Differential Systems \The role of the human factor, in some cases these effects can be simplified as inconsistency of the drive system and the corresponding parameters of the system, whether by ring-opening addition to closed-loop control methods to achieve control and synchronization is particularly important in this case. This article will be considered in this case, and by means of theoretical analysis and numerical simulation parameters do not match the conditions, the open-loop and closed-loop control method can still achieve the precision control and synchronization, and regulatory factors can achieve amplification, fully synchronized and narrow the synchronization behavior of the amplitude of the drive systems of different types. In some other cases, the impact of noise or the like can be simplified as plus a noise term, the new system and the original system parameters remain unchanged, the article will examine this new system to open the ring plus closed-loop control method in the noise intensity case able to achieve high-precision control and synchronization functions, and study the behavior of the drive system for the invariant manifold neighborhood intermittent chaos behavior occurs noise intensity range, as well as synchronize the scaling behavior of the convergence process.

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