中国物理B ›› 2013, Vol. 22 ›› Issue (8): 80505-080505.doi: 10.1088/1674-1056/22/8/080505

• GENERAL • 上一篇    下一篇

Continuous-time chaotic systems:Arbitrary full-state hybrid projective synchronization via a scalar signal

Giuseppe Grassi   

  1. Dipartimento Ingegneria Innovazione, Universitá del Salento-73100 Lecce, Italy
  • 收稿日期:2012-12-04 修回日期:2013-01-12 出版日期:2013-06-27 发布日期:2013-06-27

Continuous-time chaotic systems:Arbitrary full-state hybrid projective synchronization via a scalar signal

Giuseppe Grassi   

  1. Dipartimento Ingegneria Innovazione, Universitá del Salento-73100 Lecce, Italy
  • Received:2012-12-04 Revised:2013-01-12 Online:2013-06-27 Published:2013-06-27
  • Contact: Giuseppe Grassi E-mail:giuseppe.grassi@unisalento.it

摘要: Referring to continuous-time chaotic systems, this paper presents a new projective synchronization scheme, which enables each drive system state to be synchronized with a linear combination of response system states for any arbitrary scaling matrix. The proposed method, based on a structural condition related to the uncontrollable eigenvalues of the error system, can be applied to a wide class of continuous-time chaotic (hyperchaotic) systems and represents a general framework that includes any type of synchronization defined to date. An example involving a hyperchaotic oscillator is reported, with the aim of showing how a response system attractor is arbitrarily shaped using a scalar synchronizing signal only. Finally, it is shown that the recently introduced dislocated synchronization can be readily achieved using the conceived scheme.

关键词: continuous-time chaotic systems, chaos synchronization, observer-based synchronization, scalar synchronizing signal

Abstract: Referring to continuous-time chaotic systems, this paper presents a new projective synchronization scheme, which enables each drive system state to be synchronized with a linear combination of response system states for any arbitrary scaling matrix. The proposed method, based on a structural condition related to the uncontrollable eigenvalues of the error system, can be applied to a wide class of continuous-time chaotic (hyperchaotic) systems and represents a general framework that includes any type of synchronization defined to date. An example involving a hyperchaotic oscillator is reported, with the aim of showing how a response system attractor is arbitrarily shaped using a scalar synchronizing signal only. Finally, it is shown that the recently introduced dislocated synchronization can be readily achieved using the conceived scheme.

Key words: continuous-time chaotic systems, chaos synchronization, observer-based synchronization, scalar synchronizing signal

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
05.45.Xt (Synchronization; coupled oscillators)