期刊
PRAMANA-JOURNAL OF PHYSICS
卷 90, 期 1, 页码 -出版社
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-017-1505-x
关键词
Infinity dynamics; Hopf bifurcation; coexisting attractors
资金
- Natural Science Foundation of China [11726624]
- Natural Science Basic Research Plan in Shaanxi Province of China [2016JM1024]
- Natural Science Basic Research Plan in Shandong Province of China [ZR2017PA008]
- Shaanxi Key Laboratory of Complex System Control and Intelligent Information Processing [2016CP06]
- Scientific Research Foundation of Xijing University [XJ160142]
- Xi'an University of Technology
Dynamics at infinity and a Hopf bifurcation for a Sprott E system with a very small perturbation constant are studied in this paper. By using Poincare compactification of polynomial vector fields in R-3, the dynamics near infinity of the singularities is obtained. Furthermore, in accordance with the centre manifold theorem, the subcritical Hopf bifurcation is analysed and obtained. Numerical simulations demonstrate the correctness of the dynamical and bifurcation analyses. Moreover, by choosing appropriate parameters, this perturbed system can exhibit chaotic, quasiperiodic and periodic dynamics, as well as some coexisting attractors, such as a chaotic attractor coexisting with a periodic attractor for a > 0, and a chaotic attractor coexisting with a quasiperiodic attractor for a = 0. Coexisting attractors are not associated with an unstable equilibrium and thus often go undiscovered because they may occur in a small region of parameter space, with a small basin of attraction in the space of initial conditions.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据