Bifurcation analysis and chaos in a discrete reduced Lorenz system

作者：

Highlights：

• The dynamical behaviors of a discrete Lorenz system are investigated.

• The stability conditions of the fixed points are analyzed.

• The normal form theorem is applied to investigate dynamics of the system.

• Numerical simulations are presented to verify the theoretical results.

摘要

•The dynamical behaviors of a discrete Lorenz system are investigated.•The stability conditions of the fixed points are analyzed.•The normal form theorem is applied to investigate dynamics of the system.•Numerical simulations are presented to verify the theoretical results.

论文关键词：Discrete Lorenz system,Chaotic behavior,Neimark–Sacker bifurcation,Lyapunov exponents

论文评审过程：Available online 20 December 2013.

论文官网地址：https://doi.org/10.1016/j.amc.2013.11.088