Synthesize Piecewise Linear Chaotic System with Shilnikov Theorem
Chen Xi-you①; Li Guan-lin①②
①Department of Electrical and Electronics Engineering, Dalian University of Technology, Dalian 116023, China; ②Department of Electrical Engineering, Harbin Institute of Technology, Harbin 150001, China
Abstract:According to the heteroclinic shilnikov theorem, a kind of piecewise linear chaotic system is presented in this paper. These systems have at least two equilibriums and at each equilibrium they have the same Jacobian. Changing the equilibriums and the separating planes, the other forms of these systems can be got. Theoretical analysis and experimental results confirm the method is effective.