A Unified Chaotic System with Various Coexisting Attractors
Qiang Lai
Abstract
This article presents a unified four-dimensional autonomous chaotic system with various coexisting attractors. The dynamic behaviors of the system are determined by its special nonlinearities with multiple zeros. Two cases of nonlinearities with sine function of the system are discussed. The symmetrical coexisting attractors, asymmetrical coexisting attractors and infinitely many coexisting attractors in the system are numerically demonstrated. This shows that such a system has an ability to produce abundant coexisting attractors, depending on the number of equilibrium points determined by nonlinearities.
Topics & Concepts
AttractorChaoticSineFunction (biology)Statistical physicsMathematicsControl theory (sociology)Computer sciencePhysicsMathematical analysisControl (management)GeometryArtificial intelligenceEvolutionary biologyBiologyChaos control and synchronizationNonlinear Dynamics and Pattern FormationQuantum chaos and dynamical systems