A new chaotic attractor from 2D discrete mapping via border-collision period-doubling scenario.
Elhadj, Zeraoulia (2005)
Discrete Dynamics in Nature and Society
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Displaying similar documents to “Blowout bifurcation of chaotic saddles.”
A new chaotic attractor from 2D discrete mapping via border-collision period-doubling scenario.
Phase multistability of synchronous chaotic oscillations.
Vadivasova, T.E., Sosnovtseva, O.V., Balanov, A.G., Astakhov, V.V. (2000)
Discrete Dynamics in Nature and Society
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Chaotic behavior and modified function projective synchronization of a simple system with one stable equilibrium
Zhouchao Wei, Zhen Wang (2013)
Kybernetika
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By introducing a feedback control to a proposed Sprott E system, an extremely complex chaotic attractor with only one stable equilibrium is derived. The system evolves into periodic and chaotic behaviors by detailed numerical as well as theoretical analysis. Analysis results show that chaos also can be generated via a period-doubling bifurcation when the system has one and only one stable equilibrium. Based on Lyapunov stability theory, the adaptive control law and the parameter update...
The emergence of bull and bear dynamics in a nonlinear model of interacting markets.
Tramontana, Fabio, Gardini, Laura, Dieci, Roberto, Westerhoff, Frank (2009)
Discrete Dynamics in Nature and Society
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In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps.
Astakhov, Vladimir, Shabunin, Alexey, Klimshin, Alexander, Anishchenko, Vadim (2002)
Discrete Dynamics in Nature and Society
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Degenerate Hopf bifurcations and the formation mechanism of chaos in the Qi 3-D four-wing chaotic system
Hongtao Liang, Yanxia Tang, Li Li, Zhouchao Wei, Zhen Wang (2013)
Kybernetika
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In order to further understand a complex 3-D dynamical system proposed by Qi et al, showing four-wing chaotic attractors with very complicated topological structures over a large range of parameters, we study degenerate Hopf bifurcations in the system. It exhibits the result of a period-doubling cascade to chaos from a Hopf bifurcation point. The theoretical analysis and simulations demonstrate the rich dynamics of the system.
Asset price dynamics in a financial market with fundamentalists and chartists.
Chiarella, Carl, Dieci, Roberto, Gardini, Laura (2001)
Discrete Dynamics in Nature and Society
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