Scenario of the Birth of Hidden Attractors in the Chua Circuit

Nataliya V. Stankevich, Nikolay V. Kuznetsov, Gennady A. Leonov, Leon O. Chua

Результат исследований: Научные публикации в периодических изданияхстатья

33 Цитирования (Scopus)

Аннотация

Recently it was shown that in the dynamical model of Chua circuit both the classical self-excited and hidden chaotic attractors can be found. In this paper the dynamics of the Chua circuit is revisited. The scenario of the chaotic dynamics development and the birth of self-excited and hidden attractors is studied. A pitchfork bifurcation is shown in which a pair of symmetric attractors coexist and merge into one symmetric attractor through an attractor-merging bifurcation and a splitting of a single attractor into two attractors. The scenario relating the subcritical Hopf bifurcation near equilibrium points and the birth of hidden attractors is discussed.

Язык оригиналаанглийский
Номер статьи17300385
ЖурналInternational Journal of Bifurcation and Chaos
Том27
Номер выпуска12
DOI
СостояниеОпубликовано - 1 ноя 2017

Предметные области Scopus

  • Моделирование и симуляция
  • Технология (разное)
  • Общие
  • Прикладная математика

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