A generalization of smooth Chua's equations under Lagrange stability

作者：Duan, Zhisheng^*; Wang, Jinzhi; Li, Rong; Huang, Lin

来源：International Journal of Bifurcation and Chaos, 2007, 17(9): 3047-3059.

DOI：10.1142/S0218127407018853

• Lagrange stability
• interconnected systems
• smooth Chua's equation
• nonlinearly coupled Chua's circuit

In this paper, smooth Chua's equation is generalized to a higher order system from a special viewpoint of interconnected systems. Simple conditions for Lagrange stability are established. And a detailed Lagrange stable region analysis is given for the canonical Chua's oscillator. In addition, a new nonlinearly coupled Chua's circuit that appeared in the recent literature is also discussed and a Lagrange stability condition is presented. Several examples are presented to illustrate the results.

• 出版日期2007-9
• 单位北京大学