Article Dans Une Revue International journal of bifurcation and chaos in applied sciences and engineering Année : 1991

Confinors and bounded-time patterns in Chua's circuit and the double scril family

René Lozi
Shigehiro Ushiki
  • Fonction : Auteur

Résumé

We study the patterns in the time waveforms of the spiral attractors of the double scroll equations for the theoretical Chua's parameters. We introduce several mathematical tools linked to these equations (half-Poincaré maps, isochronic lines, selecting curves and antiselecting curves, spirals and antispirals, theorems of the turnstile, patterns and confinors). We prove that for given values of the parameters, only patterns in the time waveforms which are bounded in time can exist.

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hal-04691094 , version 1 (07-09-2024)

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René Lozi, Shigehiro Ushiki. Confinors and bounded-time patterns in Chua's circuit and the double scril family. International journal of bifurcation and chaos in applied sciences and engineering , 1991, 1 (1), pp.119-138. ⟨10.1142/S0218127491000099⟩. ⟨hal-04691094⟩
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