Modelling and circuit realisation of a new no‐equilibrium chaotic system with hidden attractor and coexisting attractors
Qiang Lai, Zhiqiang Wan, Paul Didier Kamdem Kuate
Abstract
This Letter reports a new no‐equilibrium chaotic system with hidden attractors and coexisting attractors. Bifurcation diagram shows that the proposed system generates chaos through period‐doubling bifurcation with the variation of system parameters, and the hidden chaotic and periodic attractors are visually given by phase portraits. The coexisting chaotic and periodic attractors from different initial conditions are observed in the system. The analogue circuit realisation and microcontroller‐based experimental implementation of the system are given to verify its physical existence.
Topics & Concepts
AttractorRealisationChaoticStatistical physicsComputer scienceChua's circuitControl theory (sociology)PhysicsMathematicsArtificial intelligenceMathematical analysisQuantum mechanicsControl (management)Chaos control and synchronizationNonlinear Dynamics and Pattern FormationNeural Networks Stability and Synchronization