Discretizing dynamical systems with generalized Hopf bifurcations

被引：0
作者：
Joseph Páez Chávez
机构：
[1] Instituto de Ciencias Matemáticas,
[2] Escuela Superior Politécnica del Litoral,undefined
来源：
Numerische Mathematik | 2011年 / 118卷
关键词：
65P30; 65L99; 37C10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the discretizations of parameter-dependent, continuous-time dynamical systems. We show that the general one-step methods shift a generalized Hopf bifurcation and turn it into a generalized Neimark–Sacker point. We analyze the effect of discretization methods on the emanating Hopf curve. In particular, we obtain estimates for the eigenvalues of the discretized system along this curve. A detailed analysis of the discretized first Lyapunov coefficient is also given. The results are illustrated by a numerical example. Dynamical consequences are discussed.
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页码：229 / 246
页数：17
相关论文
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