Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 27, Issue 12, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127417300385
Keywords
Hidden Chua attractor; Chua circuit; classification of attractors as being hidden or self-excited; subcritical Hopf bifurcation; pitchfork bifurcation; basin of attraction
Funding
- Russian Science Foundation [14-21-00041]
- [AFOSR FA 9550-13-1-0136]
- Russian Science Foundation [17-21-00003] Funding Source: Russian Science Foundation
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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 selfexcited 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.
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