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Suppression of chaos by resonant parametric perturbations
Physical Review A, 1990Starting from a chaotic regime in the dynamics of a Duffing-Holmes oscillator, we show how it is possible, by means of a small parametric perturbation of suitable frequency, to bring the system to a regular regime. This situation is studied from the analytic point of view using the Melnikov method and from the numerical point of view computing Lyapunov
, Lima, , Pettini
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Suppression of chaos using mutual coupling
Physics Letters A, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Patidar, Vinod +2 more
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Routes to suppressing chaos by weak periodic perturbations
Physical Review Letters, 1993A new route is described for eliminating chaos in nonlinear oscillators by changing only the shape of a weak nonlinear periodic perturbation and illustrated with the example of the Duffing-Holmes oscillator forced with the Jacobian elliptic function sn. Two techniques are used in the illustration: applying the Melnikov-Holmes analysis, and studying the
, Chacón, , Díaz Bejarano J
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Suppression of chaos in weakly coupled diode resonators
Physical Review E, 1993We have demonstrated through the system of two coupled driven diode resonators that chaos of the diode resonators can be reduced by weak coupling. Stable periodic orbits emerge from the chaotic attractor when a small coupling signal perturbs the diode resonator.
, Shin, , Kwun, , Kim
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Bifurcation, Chaos and Suppression of Chaos in FitzHugh-Nagumo Nerve Conduction Model Equation
Journal of Theoretical Biology, 1994We study the effect of constant and periodic membrane currents in neuronal axons described by the FitzHugh-Nagumo equation in its wave form. Linear stability analysis is carried out in the absence of periodic membrane current. Occurrence of chaotic motion, (i) in the absence of both constant and periodic membrane currents, (ii) with constant current ...
S, Rajasekar, M, Lakshmanan
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Suppression of chaos through changes in the system variables: transient chaos and crises
Physica D: Nonlinear Phenomena, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Güémez, J. +3 more
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Clutter Suppression in GPR Using Chaos Modulation
2006 International Radar Symposium, 2006In this paper, a chaotic radar is designed in which the transmitted signals are formed through modulating the amplitude of ultra wideband (UWB) signals using chaos. It is illustrated that the proposed radar has an excellent resolution performance as well as the capability of sidelobe suppression that is significant in ground penetrating radar (GPR ...
Xiaoxiang Liu, Henry Leung
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Suppressing Chaos in Uncertain Nonautonomous Oscillators
2014 UKSim-AMSS 16th International Conference on Computer Modelling and Simulation, 2014This paper investigates the control and suppression of chaos in nonautonomous oscillators with uncertain and/or unknown parameters. A nonlinear second order Duffing oscillator that has a single harmonic excitation and two uncertain parameters is used to exemplify the suggested techniques.
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Suppression of chaos by selective resonant parametric perturbations
Physical Review E, 1995It is shown that, depending on its amplitude, frequency, and initial phase, a time-dependent periodic parametric perturbation can suppress chaos in nonlinear oscillators. The example of the Duffing-Holmes oscillator is used to demonstrate that all the numerically and experimentally observed phenomenology is theoretically explained by using the Melnikov-
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Suppressing chaos in the duffing oscillator by impulsive actions
Chaos, Solitons & Fractals, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Osipov, G., Glatz, L., Troger, H.
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