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, 2021
This paper is to generalize the research on chaotic resonance (CR) towards fractional-order chaotic systems and then develop a new technique for detecting weak signals embedded in strong background noise.
Yuzhu He +3 more
semanticscholar +1 more source
This paper is to generalize the research on chaotic resonance (CR) towards fractional-order chaotic systems and then develop a new technique for detecting weak signals embedded in strong background noise.
Yuzhu He +3 more
semanticscholar +1 more source
IEEE International Conference on Systems, Man and Cybernetics, 2021
Recent studies on stochastic resonance have been considered in various fields for engineering applications. Chaotic dynamics derive a phenomenon called chaotic resonance, which is similar to stochastic resonance.
S. Nobukawa +4 more
semanticscholar +1 more source
Recent studies on stochastic resonance have been considered in various fields for engineering applications. Chaotic dynamics derive a phenomenon called chaotic resonance, which is similar to stochastic resonance.
S. Nobukawa +4 more
semanticscholar +1 more source
Observation of stochastic resonance for weak periodic magnetic field signal using a chaotic system
Communications in nonlinear science & numerical simulation, 2021Stochastic resonance, found in many natural and engineered bistable systems, refers to a physical phenomenon wherein the response of nonlinear dynamical systems to weak input signal is enhanced by the presence of noise, tuned to the optimal level ...
Iacyel G. Silva +4 more
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Resonances of Chaotic Dynamical Systems
Physical Review Letters, 1986We present analytic properties of the power spectrum for a class of chaotic dynamical systems (Axiom-A systems). The power spectrum is meromorphic in a strip; the position of the poles (resonances) depends on the system considered, but only their residues depend on the observable monitored. In relation with these results we also discuss the exponential
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Coherence Resonance in Coupled Chaotic Oscillators
Physical Review Letters, 2001Physical Review ...
Z, Liu, Y C, Lai
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Aperiodic stochastic resonance in chaotic maps
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1998It is shown by means of numerical simulations that aperiodic stochastic resonance occurs in chaotic one-dimensional maps with various kinds of intermittency. The effect appears in the absence of external noise, as the system control parameter is varied.
Krawiecki, A., Sukiennicki, A.
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Chaotic transitions in resonant asteroidal dynamics
CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY, 1996The utilization of chaotic dynamics approaches allowed the identification of many modes of motion in resonant asteroidal dynamics. As these dynamical systems are not integrable, the motion modes are not separated and one orbit may transit from one mode to another. In some cases, as in the 3/1 resonance, these transitions may lead, in a relatively short
Ferraz-Mello, S. +3 more
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Stochastic resonance: A chaotic dynamics approach
Physical Review E, 1996For a class of multistable systems it follows from qualitative results of Melnikov theory that deterministic and stochastic excitations play equivalent roles in the promotion of chaos. We use such results to suggest: (1) a method for assessing the role of the noise spectrum in enhancing the signal-to-noise ratio (SNR), the most effective spectral shape
, Franaszek, , Simiu
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Chaotic Third Sound Resonances
Journal of Low Temperature Physics, 2004There are three independent phenomena that compete to determine the line shapes of third sound resonances in a circular cavity. First, anharmonic terms in the hydrodynamic equations of motion lead to the usual hysteresis on a mugti-valued response function. Second, wave coupling to vortices pinned in the film modify the resonant frequency as changes in
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Stochastic resonance in chaotic dynamics
Journal of Statistical Physics, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nicolis, Grégoire +2 more
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