0000000000341434

AUTHOR

V. I. Vagaitsev

showing 2 related works from this author

Analytical-Numerical Localization of Hidden Attractor in Electrical Chua’s Circuit

2013

Study of hidden oscillations and hidden chaotic attractors (basin of attraction of which does not contain neighborhoods of equilibria) requires the development of special analytical-numerical methods. Development and application of such methods for localization of hidden chaotic attractors in dynamical model of Chua’s circuit are demonstrated in this work.

Nonlinear Sciences::Chaotic DynamicsChua's circuitDevelopment (topology)Computer scienceAttractorChaoticHidden oscillationTopology
researchProduct

Localization of hidden Chua's attractors

2011

Abstract The classical attractors of Lorenz, Rossler, Chua, Chen, and other widely-known attractors are those excited from unstable equilibria. From computational point of view this allows one to use numerical method, in which after transient process a trajectory, started from a point of unstable manifold in the neighborhood of equilibrium, reaches an attractor and identifies it. However there are attractors of another type: hidden attractors, a basin of attraction of which does not contain neighborhoods of equilibria . In the present Letter for localization of hidden attractors of Chuaʼs circuit it is suggested to use a special analytical–numerical algorithm.

Nonlinear Sciences::Chaotic DynamicsPhysicsta113Mathematics::Dynamical SystemsNumerical analysisAttractorTrajectoryGeneral Physics and AstronomyPoint (geometry)Statistical physicsType (model theory)Hidden oscillationManifoldPhysics Letters A
researchProduct