Experimental study of stochastic resonance in a Chua’s circuit operating in a chaotic regime

Korneta, W.; Gomes, Iacyel; Mirasso, Claudio R.; Toral, Raúl

doi:10.1016/j.physd.2006.05.016

Cited by 30 publications

(8 citation statements)

References 27 publications

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“…Chua's circuits are easily implementable and widely studied chaotic oscillators, see for example [38][39][40][41][42][43][44][45]. Their simplest implementation scheme includes four passive elements (one resistor, two capacitors, and one inductor) and a nonlinear active component called Chua's diode.…”

Section: Hardware Implementationmentioning

confidence: 99%

Experiments on node-to-node pinning control of Chua’s circuits

Porfiri

Fiorilli

2010

Physica D: Nonlinear Phenomena

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Section: Hardware Implementationmentioning

confidence: 99%

Experiments on node-to-node pinning control of Chua’s circuits

Porfiri

Fiorilli

2010

Physica D: Nonlinear Phenomena

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“…In the case of bistable system, in [5], [6] the potential function is a simple symmetric function (2) and, adding a period signal and considering case of time dependent system (3) where A and are the amplitude and the frequency of the periodic signal, respectively.…”

Section: Starting Point-langevin Equationmentioning

confidence: 99%

“…there exists a continuous, positive and derivable function u(t) on (0,1], with u(0)=0, nonnegative derivate u'(t) in L 2 ((0,1]), with u(t) tends to infinity when t go to zero and (6) and some general quadratic growths for f and g. In [6] we prove the uniqueness, existence and good stability for the solution of the above equations, in these general conditions.…”

Section: Fig2 Diagram Of the Control -Continuous Casementioning

confidence: 99%

On backward stochastic differential equations and control of electronic circuits

Negrea

Carstea

Mitariu

2008

2008 31st International Spring Seminar on Electronics Technology

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Our goal is to give a continuous model for the control of electronic circuits with stochastic perturbations using the backward stochastic differential equations. Some aspects of the solutions of these equations are studied for general conditions of the coefficient functions and the initial value. The control is on the benefit of stochastic resonance for non-linear circuits, and some numerical examples are presented.

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“…Since then, SR has been found and studied in a myriad of natural and engineered systems and has been thoroughly explored through theory, experiments, and numerical simulations. We report examples from laser systems [6], atomic physics [7], nanostructures [8], optics [9], control theory [10], circuits [11], ecology [12], geosciences [13,14], biology [15], physiology [16], neurosciences [17], and psychology [18], among others. Many valuable reviews of the topic are available [19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Stochastic resonance for nonequilibrium systems

Lucarini

2019

Phys. Rev. E

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Stochastic resonance (SR) is a prominent phenomenon in many natural and engineered noisy systems, whereby the response to a periodic forcing is greatly amplified when the intensity of the noise is tuned to within a specific range of values. We propose here a general mathematical framework based on large deviation theory and, specifically, on the theory of quasipotentials, for describing SR in noisy N-dimensional nonequilibrium systems possessing two metastable states and undergoing a periodically modulated forcing. The drift and the volatility fields of the equations of motion can be fairly general, and the competing attractors of the deterministic dynamics and the edge state living on the basin boundary can, in principle, feature chaotic dynamics. Similarly, the perturbation field of the forcing can be fairly general. Our approach is able to recover as special cases the classical results previously presented in the literature for systems obeying detailed balance and allows for expressing the parameters describing SR and the statistics of residence times in the two-state approximation in terms of the unperturbed drift field, the volatility field, and the perturbation field. We clarify which specific properties of the forcing are relevant for amplifying or suppressing SR in a system and classify forcings according to classes of equivalence. Our results indicate a route for a detailed understanding of SR in rather general systems.

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Experimental study of stochastic resonance in a Chua’s circuit operating in a chaotic regime

Cited by 30 publications

References 27 publications

Experiments on node-to-node pinning control of Chua’s circuits

Experiments on node-to-node pinning control of Chua’s circuits

On backward stochastic differential equations and control of electronic circuits

Stochastic resonance for nonequilibrium systems

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