6533b82bfe1ef96bd128cd10
RESEARCH PRODUCT
Localization of hidden Chua's attractors
Nikolay KuznetsovNikolay KuznetsovV. I. VagaitsevGennady A. Leonovsubject
Nonlinear Sciences::Chaotic DynamicsPhysicsta113Mathematics::Dynamical SystemsNumerical analysisAttractorTrajectoryGeneral Physics and AstronomyPoint (geometry)Statistical physicsType (model theory)Hidden oscillationManifolddescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-06-01 | Physics Letters A |