A modified numerical method for bifurcations of fixed points of ODE systems with periodically pulsed inputs

作者：

Highlights：

• A modified numerical method for bifurcations of fixed points is constructed.

• The numerical method is applied to ODE systems with periodically pulsed inputs.

• Parallel computation is used to reduce the computation time.

• This numerical method is shown to be much more efficient than our previous method.

• Two-parameter and three-parameter bifurcation diagrams are computed.

摘要

•A modified numerical method for bifurcations of fixed points is constructed.•The numerical method is applied to ODE systems with periodically pulsed inputs.•Parallel computation is used to reduce the computation time.•This numerical method is shown to be much more efficient than our previous method.•Two-parameter and three-parameter bifurcation diagrams are computed.

论文关键词：Numerical method,Dynamical system,Bifurcation analysis,Pulsed input

论文评审过程：Available online 12 April 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.03.054