A novel chaotic system and its topological horseshoe
نویسندگان
چکیده
منابع مشابه
A New Chaotic System with Positive Topological Entropy
This paper introduces a new simple system with a butterfly chaotic attractor. This system has rich and complex dynamics. With some typical parameters, its Lyapunov dimension is greater than other known three dimensional chaotic systems. It exhibits chaotic behavior over a large range of parameters, and the divergence of flow of this system is not a constant. The dynamics of this new system are ...
متن کاملConstructing a Novel No-Equilibrium Chaotic System
This paper introduces a new no–equilibrium chaotic system that is constructed by adding a tiny perturbation to a simple chaotic flow having a line equilibrium. Dynamics of the proposed system are investigated through Lyapunov exponents, bifurcation diagram, Poincaré map and period–doubling route to chaos. A circuit realization is also represented. Moreover, two other new chaotic systems without...
متن کاملAn unusual chaotic system and its control
This paper reports the finding of a new chaotic system in a simple three-dimensional (3D) autonomous system with two nonlinear terms, which has rich and complex dynamical behaviors, and its control. Of particular interest is the fact that new chaotic system has a chaotic attractor, one stable node-focus and one unstable saddle-focus. To understand the complex dynamics of the system, some basic ...
متن کاملChaotic iterations and topological chaos
Chaotic iterations have been introduced on the one hand by Chazan, Miranker [5] and Miellou [9] in a numerical analysis context, and on the other hand by Robert [11] and Pellegrin [10] in the discrete dynamical systems framework. In both cases, the objective was to derive conditions of convergence of such iterations to a fixed state. In this paper, a new point of view is presented, the goal her...
متن کاملA Novel Multi-Wing Chaotic System and Circuit Simulation
Base on a 3-D chaotic system, a new chaotic system generating three-wing and fourwing chaotic attractors is constructed by introducing a linear term. The phase diagrams, Lyapunov exponent spectrums and bifurcation diagrams of the system are studied by numerical simulation. Furthermore, the system is simulated by circuit, and the three-wing and four-wing chaotic attractors are observed. The circ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinear Analysis: Modelling and Control
سال: 2013
ISSN: 2335-8963,1392-5113
DOI: 10.15388/na.18.1.14032