摘要
考虑了一个新三维指数系统的Hopf分岔,并且分析了指数系统添加非线性控制器后的Hopf分岔.通过严格的数学推导给出受控系统发生余维一,余维二和余维三的Hopf分岔的参数条件,证明了可以控制系统在指定区域内发生退化分岔和可调控分岔的稳定性,并且通过数值模拟验证了得出的结论.
This paper studies Hopf bifurcation of a new three-dimensional exponential dy- namical system and its nonlinear controlling system. The strategies maintain the equilibrium structure of the exponential system and degenerate Hopf bifurcation at the desired location by the correlative theories of the first, second and third Lyapunov coefficients though mathe- matical justification. The results of the numerical simulation are also explained clearly.
出处
《数学的实践与认识》
北大核心
2015年第9期294-301,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(11172194)
