物理学报Issue(16):1-7,7.DOI:10.7498/aps.63.160505
具有对应分段系统和指数系统的新混沌系统的Hopf分岔控制研究
Anti-control of Hopf bifurcation in the new chaotic system with piecewise system and exp onential system
摘要
Abstract
In order to understand the complex three-dimensional dynamical system with the unstable nodes, we propose a nonlinear controller. The corresponding controlling system makes the codimension one, two, and three Hopf bifurcations happen. The mathematical deduction demonstrates that the system can be controlled to produce the degenerate Hopf bifurcation at desired location and stability of controllable bifurcation.关键词
混沌系统/控制/Hopf分岔/Lyapunov系数Key words
chaotic system/control/Hopf bifurcation/Lyapunov coefficient引用本文复制引用
张玲梅,张建文,吴润衡..具有对应分段系统和指数系统的新混沌系统的Hopf分岔控制研究[J].物理学报,2014,(16):1-7,7.基金项目
国家自然科学基金(批准号:11172194)资助的课题* Project supported by the National Natural Science Foundation of China (Grant No.11172194) (批准号:11172194)