Journal
PHYSICS LETTERS A
Volume 375, Issue 23, Pages 2230-2233Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2011.04.037
Keywords
Chua's circuit; Artractor localization; Hidden attractor; Experimental study
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Funding
- Academy of Finland
- Ministry of Education and Science (Russia)
- Saint-Petersburg State University
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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 Chua's circuit it is suggested to use a special analytical-numerical algorithm. (C) 2011 Elsevier B.V. All rights reserved.
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