Localization of hidden attractors in smooth Chua's systems

摘要

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. Recently such hidden attractors were discovered Chua's circuits by special analytical-numerical algorithm. In the present paper localization of hidden attractors in smooth Chua's systems is considered.