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Homoclinical chaos suppression

2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775), 2004
Basing on the Melnikov method that gives a sufficient criterion of chaoticity in the separatrix neighborhood, analysis of the chaos suppression phenomenon is carried out. As a result, an explicit form of external perturbations leading to the stabilization of chaotic dynamics is analytically found.
A. Loskutov, A. Janoev
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SUPPRESSING CHAOS FOR SOME NONLINEAR OSCILLATORS

International Journal of Bifurcation and Chaos, 2004
In this paper, a criteria of suppressing chaos for a kind of nonlinear oscillators is established by the theory of the strange attractor. The oscillators considered include Duffing, van der Pol, Duffing–van der Pol and pendulum. According to this criteria, we analyze the phase effect using two methods, one by adding the second external force term and ...
Leung, Andrew Y. T., Liu, Zengrong
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Chaos suppression in gas-solid fluidization

Chaos: An Interdisciplinary Journal of Nonlinear Science, 1998
Fluidization in granular materials occurs primarily as a result of a dynamic balance between gravitational forces and forces resulting from the flow of a fluid through a bed of discrete particles. For systems where the fluidizing medium and the particles have significantly different densities, density wave instabilities create local pockets of very ...
Pence, Deborah V., Beasley, Donald E.
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Suppressing chaos via Lyapunov–Krasovskii’s method

Chaos, Solitons & Fractals, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuang, JL, Meehan, PA, Leung, AYT
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Is chaos always suppressed parametrically?

Proceedings. 2005 International Conference Physics and Control, 2005., 2006
Great success and profit of the chaos suppression phenomenon in applications led to the widespread opinion that chaotic oscillations may always be stabilized by parametric perturbations. Nevertheless, in what cases the chaos can be suppressed by such a manner?
A. Loskutov, A. Dzhanoev, T. Schwalger
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Chaos Suppression via Integrative Time Delay Control

International Journal of Bifurcation and Chaos, 2020
A general strategy for suppressing chaos in chaotic Burke–Shaw system using integrative time delay (ITD) control is proposed, as an example. The idea of ITD is that the feedback is integrated over a time interval. Physically, the chaotic system responds to the average information it receives from the feedback.
Ayman A. Arafa   +2 more
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Quantum mechanical suppression of chaos

Physics World, 1990
The relation between determinism and predictability is the central issue in the study of 'deterministic chaos'. Much knowledge has been accumulated in the past 10 years about the chaotic dynamics of macroscopic (classical) systems. Our intention is to examine the implications of chaos in the microscopic quantum world – in other words, how to reconcile ...
Reinhold Blümel, Uzy Smilansky
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Suppressing chaos in neural networks by noise

Physical Review Letters, 1992
We study discrete parallel dynamics of a fully connected network of nonlinear elements interacting via long-range random asymmetric couplings under the influence of external noise. Using dynamical mean-field equations, which become exact in the thermodynamical limit, we calculate the activity and the maximal Lyapunov exponent of the network in ...
, Molgedey, , Schuchhardt, , Schuster
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Numerical methods can suppress chaos

Physics Letters A, 1991
Abstract Numerical methods for the solution of ordinary differential equations are one of the main tools used in the theoretical investigation of nonlinear continuous dynamical systems. These replace the continuous dynamical system under study by a discrete dynamical system that is then usually simulated on a digital computer.
R.M. Corless, C. Essex, M.A.H. Nerenberg
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Suppressing chaos in lasers by negative feedback

Physical Review E, 1996
An easy to implement method for stabilizing periodic orbits in a modulated laser is presented. Such a method is based on negative feedback of subharmonic components extracted from the temporal intensity signal. Robustness, speed, and general validity of this scheme for other laser systems are also discussed.
Meucci R, Ciofini M, Abbate R
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