Stochastic resonance in a harmonic oscillator with fractional-order external and intrinsic dampings

DOI10.1007/s11071-015-2174-2zbMath1348.34033OpenAlexW1877936242MaRDI QIDQ327508

Hong Ma, Suchuan Zhong, Hao Peng, Lu Zhang

Publication date: 19 October 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-2174-2

zbMATH Keywords

stochastic resonanceharmonic oscillatorfractional-order external dampingfractional-order intrinsic dampingoutput amplitude

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Fractional ordinary differential equations (34A08) Resonance phenomena for ordinary differential equations involving randomness (34F15)

Related Items (12)

Generalized Langevin equation with tempered memory kernel ⋮ Stochastic resonance in two coupled fractional oscillators with potential and coupling parameters subjected to quadratic asymmetric dichotomous noise ⋮ The resonant behavior in the oscillator with double fractional-order damping under the action of nonlinear multiplicative noise ⋮ Collective resonant behaviors in two coupled fluctuating-mass oscillators with tempered Mittag-Leffler memory kernel ⋮ An analytical criterion for jump phenomena in fractional Duffing oscillators ⋮ Stochastic resonance of two coupled fractional harmonic oscillators with fluctuating mass ⋮ Stochastic multiresonance in oscillators induced by bounded noise ⋮ Stochastic resonance and bifurcations in a harmonically driven tri-stable potential with colored noise ⋮ Collective behavior and stochastic resonance in a linear underdamped coupled system with multiplicative dichotomous noise and periodical driving ⋮ The stochastic resonance behaviors of a generalized harmonic oscillator subject to multiplicative and periodically modulated noises ⋮ The resonance behavior in two coupled harmonic oscillators with fluctuating mass ⋮ Collective behaviors of two coupled harmonic oscillators driven by different frequency fluctuations with fractional damping

Uses Software

• FODE

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