Dynamical analysis and numerical simulation of a new Lorenz-type chaotic system
| Autor: | Xianyi Li, Zhiqin Qiao |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Hopf bifurcation
Equilibrium point Period-doubling bifurcation Computer simulation Applied Mathematics Mathematical analysis Chaotic Lyapunov exponent Lorenz system Stability (probability) Computer Science Applications Nonlinear Sciences::Chaotic Dynamics symbols.namesake Control and Systems Engineering Modeling and Simulation symbols Applied mathematics Software Mathematics |
| Zdroj: | Mathematical and Computer Modelling of Dynamical Systems. 20:264-283 |
| ISSN: | 1744-5051 1387-3954 |
| Popis: | In this paper, a new 3D autonomous Lorenz-type chaotic system is modelled based on the condition that the system may generate chaos whereas it has only stable or non-hyperbolic equilibrium points. This system also includes some well-known Lorenz-like systems as its special cases, such as the diffusionless Lorenz system, the Burke-Shaw system and some other systems found. Although the new chaotic system is similar to other Lorenz-type systems in algebraic structure, they are topologically non-equivalent. This interesting fact motivates one to further investigate its dynamical behaviours, such as the number and the stability of equilibrium points, Hopf bifurcation and its direction, Poincare maps, Lyapunov exponents and dissipativity, etc. Given numerical simulations not only verify the corresponding theoretically analytical results, but also demonstrate that this system possesses abundant and complex dynamical properties, which need further attention. |
| Databáze: | OpenAIRE |
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