A new Lorenz-Like chaotic attractor and its synchronization

Author

Munmuangsaen, Buncha ; Srisuchinwong, Banlue

Author_Institution

Sirindhorn Int. Inst. of Technol., Thammasat Univ., Pathum-Thani, Thailand

fYear

2009

fDate

17-19 June 2009

Firstpage

1497

Lastpage

1501

Abstract

A new Lorenz-like chaotic attractor is presented with some basic properties in terms of equilibria, eigenvalues of the Jacobian matrices, generalized Lorenz system (GLS), existence of the attractor, Lyapunov exponents and compound structures. Although the differential equations of the new system are quite different from those of the Lorenz system, and although they are not topological equivalent, the appearance of the chaotic attractor of the new system resembles that of the Lorenz system. As an example, synchronization between the new system and the well-known Rossler attractor is demonstrated using active control.

Keywords

Jacobian matrices; Lyapunov methods; differential equations; eigenvalues and eigenfunctions; nonlinear control systems; Jacobian matrices; Lorenz system; Lorenz-like chaotic attractor; Lyapunov exponents; Rossler attractor; active control; compound structures; differential equations; eigenvalues; generalized Lorenz system; Chaos; Communication industry; Control systems; Differential equations; Eigenvalues and eigenfunctions; Industrial control; Jacobian matrices; Chaos; Generalized Lorenz System; Synchronization of Chaotic Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2009. CCDC '09. Chinese

Conference_Location

Guilin

Print_ISBN

978-1-4244-2722-2

Electronic_ISBN

978-1-4244-2723-9

Type

conf

DOI

10.1109/CCDC.2009.5192186

Filename

5192186