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- Title
A chaotic system with Hölder continuity.
- Authors
Zhang, Jianxiong; Tang, Wansheng
- Abstract
This paper presents a new chaotic system with infinitely many equilibria. The new system contains two system parameters and a nonlinear term which does not satisfy Lipschitz continuity but does satisfy $\frac{1}{2}$-Hölder continuity condition. The complicated dynamics are studied through theoretical analysis and numerical simulation. Synchronization for two identical systems by a piecewise linear feedback controller is investigated based on Lyapunov stability criteria.
- Subjects
CHAOS theory; CONTINUATION methods; LIPSCHITZ spaces; COMPUTER simulation; SYNCHRONIZATION; FEEDBACK control systems; LYAPUNOV stability
- Publication
Nonlinear Dynamics, 2010, Vol 62, Issue 4, p761
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-010-9760-0