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.

Original languageEnglish
Title of host publicationRecent Researches in Applied and Computational Mathematics - International Conference on Applied and Computational Mathematics, ICACM'11
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
Pages26-33
Number of pages8
Edition26-33
ISBN (Print)9781618040022
StatePublished - 2011
EventInternational Conference on Applied and Computational Mathematics, ICACM'11 - Lanzarote, Canary Islands, Spain
Duration: 27 May 201129 May 2011

Publication series

NameInternational Conference on Applied and Computational Mathematics
ISSN (Print)2223-2877

Conference

ConferenceInternational Conference on Applied and Computational Mathematics, ICACM'11
Country/TerritorySpain
CityLanzarote, Canary Islands
Period27/05/1129/05/11

    Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics

    Research areas

  • Attractor localization, Describing function method, Harmonic balance, Hidden attractor, Smooth Chua's circuit

ID: 4704079