Dynamical behaviors of a chaotic system with no equilibria
2011; Elsevier BV; Volume: 376; Issue: 2 Linguagem: Inglês
10.1016/j.physleta.2011.10.040
ISSN1873-2429
Autores Tópico(s)Nonlinear Dynamics and Pattern Formation
ResumoBased on Sprott D system, a simple three-dimensional autonomous system with no equilibria is reported. The remarkable particularity of the system is that there exists a constant controller, which can adjust the type of chaotic attractors. It is demonstrated to be chaotic in the sense of having a positive largest Lyapunov exponent and fractional dimension. To further understand the complex dynamics of the system, some basic properties such as Lyapunov exponents, bifurcation diagram, Poincaré mapping and period-doubling route to chaos are analyzed with careful numerical simulations.
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