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RESEARCH PRODUCT
Scenario of the Birth of Hidden Attractors in the Chua Circuit
Gennady A. LeonovNikolay KuznetsovNikolay KuznetsovLeon O. ChuaNataliya StankevichNataliya StankevichNataliya Stankevichsubject
Mathematics::Dynamical Systemsclassification of attractors as being hidden or self-excitedChaoticFOS: Physical sciences01 natural sciences010305 fluids & plasmassymbols.namesake0103 physical sciencesAttractorStatistical physicsHidden Chua attractor010301 acousticsEngineering (miscellaneous)Nonlinear Sciences::Pattern Formation and SolitonsBifurcationMathematicsEquilibrium pointHopf bifurcationta213Applied Mathematicsta111pitchfork bifurcationChua circuitNonlinear Sciences - Chaotic DynamicsNonlinear Sciences::Chaotic DynamicsPitchfork bifurcationclassificationbifurcation theoryModeling and Simulationsubcritical Hopf bifurcationsymbolsChaotic Dynamics (nlin.CD)Merge (version control)description
Recently it was shown that in the dynamical model of Chua circuit both the classical selfexcited and hidden chaotic attractors can be found. In this paper the dynamics of the Chua circuit is revisited. The scenario of the chaotic dynamics development and the birth of selfexcited and hidden attractors is studied. It is shown a pitchfork bifurcation in which a pair of symmetric attractors coexists and merges into one symmetric attractor through an attractormerging bifurcation and a splitting of a single attractor into two attractors. The scenario relating the subcritical Hopf bifurcation near equilibrium points and the birth of hidden attractors is discussed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-10-07 | International Journal of Bifurcation and Chaos |