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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Ou, Baiyu, Liu, Desheng (2010)
Discrete Dynamics in Nature and Society
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Awadalla, Attia.A. (2006)
APPS. Applied Sciences
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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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Elhadj, Zeraoulia (2005)
Discrete Dynamics in Nature and Society
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Vadivasova, T.E., Sosnovtseva, O.V., Balanov, A.G., Astakhov, V.V. (2000)
Discrete Dynamics in Nature and Society
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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...
Anishchenko, Vadim S., Strelkova, Galina I. (1998)
Discrete Dynamics in Nature and Society
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Astakhov, Vladimir, Shabunin, Alexey, Klimshin, Alexander, Anishchenko, Vadim (2002)
Discrete Dynamics in Nature and Society
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Roberto Giunti (2002)
Visual Mathematics
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Barboza, Ruy (2009)
Mathematical Problems in Engineering
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Hartmann, Georg C., Rössler, Otto E. (1998)
Discrete Dynamics in Nature and Society
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Wang, Tao, Wang, Kejun, Jia, Nuo (2011)
Mathematical Problems in Engineering
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Lluís Alsedà, Sara Costa (2009)
Fundamenta Mathematicae
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The aim of this paper is twofold. On the one hand, we want to discuss some methodological issues related to the notion of strange nonchaotic attractor. On the other hand, we want to formulate a precise definition of this kind of attractor, which is "observable" in the physical sense and, in the two-dimensional setting, includes the well known models proposed by Grebogi et al. and by Keller, and a wide range of other examples proposed in the literature. Furthermore, we analytically prove...