Results 171 to 180 of about 170,615 (216)
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Synchronization of Chaotic Neuronal Oscillators
Chaos, Solitons & Fractals, 1998The paper deals with noise-induced synchronization of chaotic neurotic maps with different initiations. Noise can be important for stochastic resonance to enhance the signal detection sensitivity in a chaotic neural network and can even lead to a complete synchronization of uncoupled maps. The stability of the noise-induced synchronization in a network
Chen, Hua, Gong, Xiaofeng, Li, Fuli
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Robustness of Synchronized Chaotic Oscillations
International Journal of Bifurcation and Chaos, 1997In this paper we address the issue of robustness of synchronized chaotic oscillations in coupled systems. One frequently observes in physical experiments that synchronized chaotic oscillations are occasionally interrupted by brief incidents of unsynchronized behavior.
Rulkov, Nikolai F., Sushchik, Mikhail M.
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Impulsed oscillator and chaotic dynamics
Il Nuovo Cimento B Series 11, 1994Deterministic 1D chaos, that is chaos in mapsx′=F(x),x∈R, can represent exactly the chaotic dynamics of 1D linear oscillators subject to periodic, non-linear delayed impulses, for suitable tuning between the impulse period and the free-oscillation period.
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1992
Part 1 Chaos before chaos: frequency demultiplication, B. Van der Pol and J. Van der Mark. Part 2 Description and quantification of chaotic behaviour: geometry from time series, N.H. Packard et al. Part 3 Analytical methods: a partial differential equation with infinitely many periodic orbits - chaotic oscillations of forced beam, P.
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Part 1 Chaos before chaos: frequency demultiplication, B. Van der Pol and J. Van der Mark. Part 2 Description and quantification of chaotic behaviour: geometry from time series, N.H. Packard et al. Part 3 Analytical methods: a partial differential equation with infinitely many periodic orbits - chaotic oscillations of forced beam, P.
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CHAOTIC OSCILLATIONS OF A BUCKLED BEAM
International Journal of Bifurcation and Chaos, 1995We show that the equation [Formula: see text], x ∈ (0, π), α < -1, which models transversal nonlinear vibrations of a buckled beam, has invariant four-dimensional manifolds of solutions containing periodic orbits with transversal homoclinic orbits to them.
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Chaotic oscillations in mechanical systems
Computational Mechanics, 1988Chaotic oscillations have now been observed in non-linear mechanical systems by analytical, numerical and experimental methods. Nevertheless a more fundamental understanding of why and when such oscillations occur is of great importance. This goal will be pursued here by considering the relationship between chaos induced by forced oscillations versus ...
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DEVELOPMENT OF CHAOTIC OSCILLATORS FROM THE DAMPED HARMONIC OSCILLATOR
International Journal of Bifurcation and Chaos, 2013Using the damped harmonic oscillator equations as a mathematical template, several novel chaotic oscillators are developed with an emphasis on mathematical simplicity and ease of electronic circuit implementation. These chaotic systems offer an intuitive introduction to chaos theory, enabling comparison of mathematical and computational analyses with ...
Luke T. Harwood +2 more
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Chaotic oscillations in a stochastic environment
Chaos, Solitons & Fractals, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Chaotic bursting as chaotic itinerancy in coupled neural oscillators
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2003We show that chaotic bursting activity observed in coupled neural oscillators is a kind of chaotic itinerancy. In neuronal systems with phase deformation along the trajectory, diffusive coupling induces a dephasing effect. Because of this effect, an antiphase synchronized solution is stable for weak coupling, while an in-phase solution is stable for ...
Han, Seung Kee, Postnov, D. E.
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FORMING PULSES IN NONAUTONOMOUS CHAOTIC OSCILLATOR
International Journal of Bifurcation and Chaos, 2007In this work we demonstrate a possibility of generating chaotic pulses by means of parameter modulation of chaotic oscillator. Chaotic oscillator with 2.5 degrees of freedom and transistor as an active element is taken as a model. It is shown that periodic stimulation of such system allows to generate chaotic pulse stream, the duration of chaotic ...
Alexander S. Dmitriev +3 more
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