A new chaotic attractor from hybrid optical bistable system

In this work, a new three-dimensional autonomous chaotic system has been introduced by modifying a hybrid optical system. The single quadratic nonlinearity is replaced by a single cubic nonlinearity; the new system can display two 1-scroll chaotic attractors simultaneously or one 2-scroll chaotic at...

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Veröffentlicht in:Nonlinear dynamics 2012, Vol.67 (1), p.457-463
Hauptverfasser: Abdelouahab, Mohammed-Salah, Hamri, Nasr-eddine
Format: Artikel
Sprache:eng
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Zusammenfassung:In this work, a new three-dimensional autonomous chaotic system has been introduced by modifying a hybrid optical system. The single quadratic nonlinearity is replaced by a single cubic nonlinearity; the new system can display two 1-scroll chaotic attractors simultaneously or one 2-scroll chaotic attractor. The bifurcation diagram is obtained and Lyapunov spectrum is calculated for the proposed system. The results show that the new system exhibits rich complexity features such as stable, periodic, and chaotic dynamics.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-011-9994-5