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Chaotic switching system using mixed-mode chaotic circuit
Proceedings of the 44th IEEE 2001 Midwest Symposium on Circuits and Systems. MWSCAS 2001 (Cat. No.01CH37257), 2002We present a new chaotic switching system for transmission of digital signals via a mixed-mode chaotic circuit which has both autonomous and nonautonomous chaotic dynamics via a switching method. In the transmitter based on mixed-mode chaotic circuit, a digital information signal and its inverse signal control two switches whose complementary actions ...
ALÇI, Mustafa, KILIÇ, Recai
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Chinese Physics B, 2010
Based on the idea of tracking control and stability theory of fractional-order systems, a controller is designed to synchronize the fractional-order chaotic system with chaotic systems of integer orders, and synchronize the different fractional-order chaotic systems.
Zhou Ping, Cheng Yuan-Ming, Kuang Fei
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Based on the idea of tracking control and stability theory of fractional-order systems, a controller is designed to synchronize the fractional-order chaotic system with chaotic systems of integer orders, and synchronize the different fractional-order chaotic systems.
Zhou Ping, Cheng Yuan-Ming, Kuang Fei
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Understanding Chaotic Dynamical Systems
Communications on Pure and Applied Mathematics, 2013From the text: This article is three-quarters review and one-quarter look-ahead. The topic is chaotic dynamical systems. In the first three sections, I will try to give a sense of how hyperbolic theory has evolved over the years. In the last section, I will discuss some challenges -- and opportunities -- that lie ahead.
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Chaotic Continua in Chaotic Dynamical Systems
2021In this article, for any graph G we define a new notion of “free tracing property by free G-chains” on G-like continua and we show that a positive topological entropy homeomorphism f of a G-like continuum X admits a Cantor set Z in X such that any sequence \((z_1,z_2,...,z_n)\) of points in Z is an IE-tuple of f, Z has the free tracing property by free
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Resonances of Chaotic Dynamical Systems
Physical Review Letters, 1986We present analytic properties of the power spectrum for a class of chaotic dynamical systems (Axiom-A systems). The power spectrum is meromorphic in a strip; the position of the poles (resonances) depends on the system considered, but only their residues depend on the observable monitored. In relation with these results we also discuss the exponential
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1997
In this chapter a new method of identifying the parameters of nonlinear circuits has been presented, based on the concepts of synchronisation of nonlinear circuits. The new procedure has been formulated as a global optimisation problem and it has been solved by using a genetic algorithm.
R. Caponetto +3 more
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In this chapter a new method of identifying the parameters of nonlinear circuits has been presented, based on the concepts of synchronisation of nonlinear circuits. The new procedure has been formulated as a global optimisation problem and it has been solved by using a genetic algorithm.
R. Caponetto +3 more
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Trends in Ecology & Evolution, 2002
Abstract Why is reproduction so erratic in some plants? Mast seeding in plants is not just variable reproduction, but (in the extreme) is characterized by a bimodal distribution of population-level reproductive output among years, with huge seed production in some years, interspersed by almost zero reproduction in other years. Rees et al.
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Abstract Why is reproduction so erratic in some plants? Mast seeding in plants is not just variable reproduction, but (in the extreme) is characterized by a bimodal distribution of population-level reproductive output among years, with huge seed production in some years, interspersed by almost zero reproduction in other years. Rees et al.
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1992
New ideas concerning the peculiar phenomenon of quantum chaos are presented with special emphasis on a number of unsolved problems and current apparent contradictions.
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New ideas concerning the peculiar phenomenon of quantum chaos are presented with special emphasis on a number of unsolved problems and current apparent contradictions.
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International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems, 1985
Chaos is a typical form of dynamical behavior of classical nonlinear dynamical systems. In conservative Hamiltonian systems with f degrees of freedom chaos appears if the system is not intergrable and in some regions of phase space trajectories are not restricted to f-dimensional smooth manifolds.
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Chaos is a typical form of dynamical behavior of classical nonlinear dynamical systems. In conservative Hamiltonian systems with f degrees of freedom chaos appears if the system is not intergrable and in some regions of phase space trajectories are not restricted to f-dimensional smooth manifolds.
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