Vibrational and stochastic resonances in two coupled overdamped anharmonic oscillators

Gandhimathi, V.M.; Rajasekar, S.; Kurths, Jürgen

doi:10.1016/j.physleta.2006.08.051

Cited by 69 publications

(35 citation statements)

References 22 publications

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“…shown in Fig.9 for 3 values of E. It is found that as E decreases, the optimum SNR shifts towards the higher value of Z(2). This result has been reported earlier in the case of continuous systems also [10,12]. on ν 2 .…”

Section: Vr: Numerical and Analytical Resultssupporting

confidence: 88%

Resonance phenomena in discrete systems with bichromatic input signal

Harikrishnan

Ambika

2008

Eur. Phys. J. B

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We undertake a detailed numerical study of the twin phenomenon of stochastic and vibrational resonance in a discrete model system in the presence of bichromatic input signal. A two parameter cubic map is used as the model that combines the features of both bistable and threshold settings. Our analysis brings out several interesting results, such as, the existence of a cross over behavior from vibrational to stochasic resonance and the possibility of using stochastic resonance as a filter for the selective detection/transmission of the component frequencies in a composite signal. The study also reveals a fundamental difference between the bistable and threshold mechanisms with respect to amplification of a multi signal input.PACS. 05.10-a Computational methods in statistical and nonlinear physics -05.40 Noise

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Section: Vr: Numerical and Analytical Resultssupporting

confidence: 88%

Resonance phenomena in discrete systems with bichromatic input signal

Harikrishnan

Ambika

2008

Eur. Phys. J. B

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“…Noise is found to change the stability of nonlinear systems [23], induces vibrational and stochastic resonances [24] and fractal mean first passage limits [25]. Noise also reflects internal fluctuations [26,27] and phase transitions [28].…”

Section: Effect Of Gaussian Noise As Perturbationmentioning

confidence: 99%

Statistical dynamics of parametrically perturbed sine-square map

Santhiah¹,

Philominathan²

2010

Pramana - J Phys

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We discuss the emergence and destruction of complex, critical and completely chaotic attractors in a nonlinear system when subjected to a small parametric perturbation in trigonometric, hyperbolic or noise function forms. For this purpose, a hybrid optical bistable system, which is a nonlinear physical system, has been chosen for investigation. We show that the emergence of new attractors is responsible for transients in many trajectories obeying power-law decay. The effect of perturbation on certain critical bifurcations such as period-2, onset of chaos, chaotic attractor with less complexity etc., has been studied and characterized using certain statistical features. Further, the effect of Gaussian noise with other types of perturbation has also been studied.

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“…The vibrational resonance phenomenon has been found in the double-well Duffing oscillator, [2][3][4] spatially extended, 5 excitable 6 systems, an overdamped bistable system, [7][8][9] and overdamped two-coupled anharmonic oscillators. 10,11 The effects of noise on vibrational resonance have also been ana-lyzed in certain systems. 7,12,13 Experimental evidence of vibrational resonance was found in a bistable vertical cavity surface emitting laser 13 and an optical system.…”

Section: Introductionmentioning

confidence: 99%

Analysis of vibrational resonance in a quintic oscillator

Jeyakumari¹,

Chinnathambi²,

Rajasekar

et al. 2009

Chaos: An Interdisciplinary Journal of Nonlinear Science

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We consider a damped quintic oscillator with double-well and triple-well potentials driven by both low-frequency force f cos (omega)t and high-frequency force g cos (Omega)t with Omega>>omega and analyze the occurrence of vibrational resonance. The response consists of a slow motion with frequency omega and a fast motion with frequency Omega. We obtain an approximate analytical expression for the response amplitude Q at the low-frequency omega. From the analytical expression of Q, we determine the values of omega and g (denoted as omega(VR) and g(VR)) at which vibrational resonance occurs. The theoretical predictions are found to be in good agreement with numerical results. We show that for fixed values of the parameters of the system, as omega varies, resonance occurs at most one value of omega. When the amplitude g is varied we found two and four resonances in the system with double-well and triple-well cases, respectively. We present examples of resonance (i) without cross-well motion and (ii) with cross-well orbit far before and far after it. omega(VR) depends on the damping strength d while g(VR) is independent of d. Moreover, the effect of d is found to decrease the response amplitude Q.

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Vibrational and stochastic resonances in two coupled overdamped anharmonic oscillators

Cited by 69 publications

References 22 publications

Resonance phenomena in discrete systems with bichromatic input signal

Resonance phenomena in discrete systems with bichromatic input signal

Statistical dynamics of parametrically perturbed sine-square map

Analysis of vibrational resonance in a quintic oscillator

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