Generate -scroll attractor via composite switching controls.
Ou, Baiyu, Liu, Desheng (2010)
Mathematical Problems in Engineering
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Displaying similar documents to “On the definition of strange nonchaotic attractor”
Generate -scroll attractor via composite switching controls.
Irregular attractors.
Anishchenko, Vadim S., Strelkova, Galina I. (1998)
Discrete Dynamics in Nature and Society
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Chaotic attractor generation via a simple linear time-varying system.
Ou, Baiyu, Liu, Desheng (2010)
Discrete Dynamics in Nature and Society
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Inductorless Chua's circuit: experimental time series analysis.
Rubinger, R.M., Nascimento, A.W.M., Mello, L.F., Rubinger, C.P.L., Filho, N.Manzanares, Albuquerque, H.A. (2007)
Mathematical Problems in Engineering
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Compact Global Chaotic Attractors of Discrete Control Systems
David Cheban (2014)
Nonautonomous Dynamical Systems
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The paper is dedicated to the study of the problem of existence of compact global chaotic attractors of discrete control systems and to the description of its structure. We consider so called switched systems with discrete time xn+1 = fν(n)(xn), where ν : ℤ+ ⃗ {1,2,...,m}. If m ≥ 2 we give sufficient conditions (the family M := {f1,f2,...,fm} of functions is contracting in the extended sense) for the existence of a compact global chaotic attractor. We study this problem in the framework...
Coupled flare attractors -- a discrete prototype for economic modelling.
Hartmann, Georg C., Rössler, Otto E. (1998)
Discrete Dynamics in Nature and Society
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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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Coupled flare attractors -- a discrete prototype for economic modelling.
Hartmann, Georg, Rossler, Otto E. (1999)
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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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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Electronic properties of superconductor-semiconductor mesoscopic device.
Awadalla, Attia.A. (2006)
APPS. Applied Sciences
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Global Attractor for the Convective Cahn-Hilliard Equation
Xiaopeng Zhao, Changchun Liu (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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This paper is concerned with the convective Cahn-Hilliard equation. We use a classical theorem on existence of a global attractor to derive that the convective Cahn-Hilliard equation possesses a global attractor on some subset of H².
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...