Hidden Attractors with Conditional Symmetry
Chunbiao Li, Jiayu Sun, J. C. Sprott, Tengfei Lei
Abstract
By introducing an absolute value function for polarity balance, some new examples of chaotic systems with conditional symmetry are constructed that have hidden attractors. Coexisting oscillations along with bifurcations are investigated by numerical simulation and circuit implementation. Such new cases enrich the gallery of hidden chaotic attractors of conditional symmetry that are potentially useful in engineering technology.
Topics & Concepts
AttractorSymmetry (geometry)ChaoticPolarity (international relations)Statistical physicsFunction (biology)Computer scienceBalance (ability)MathematicsPhysicsMathematical analysisArtificial intelligenceGeometryEvolutionary biologyPhysical medicine and rehabilitationBiologyCellMedicineGeneticsChaos control and synchronizationNonlinear Dynamics and Pattern FormationQuantum chaos and dynamical systems