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  • 1
    Electronic Resource
    Electronic Resource
    Noise-induced bifurcations and chaos in the average motion of globally-coupled oscillators (2000)
    Springer
    The European physical journal 15 (2000), S. 51-57 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 05.45.-a Nonlinear dynamics and nonlinear dynamical systems - 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: A system of coupled master equations simplified from a model of noise-driven globally coupled bistable oscillators under periodic forcing is investigated. In the thermodynamic limit, the system is reduced to a set of two coupled differential equations. Rich bifurcations to subharmonics and chaotic motions are found. This behavior can be found only for certain intermediate noise intensities. Noise with intensities which are too small or too large will certainly spoil the bifurcations. In a system with large though finite size, the bifurcations to chaos induced by noise can still be detected to a certain degree.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510051099
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Controlling global stochasticity of Hamiltonian systems by nonlinear perturbation (2002)
    Springer
    The European physical journal 27 (2002), S. 381-384 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 05.45.-a Nonlinear dynamics and non linear dynamical systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: A method of controlling global stochasticity in Hamiltonian systems by applying nonlinear perturbation is proposed. With the well-known standard map we demonstrate that this control method can convert global stochasticity into regular motion in a wide chaotic region for arbitrary initial condition, in which the control signal remains very weak after a few kicks. The system in which chaos has been controlled approximates to the original Hamiltonian system, and this approach appears robust against small external noise. The mechanism underlying this high control efficiency is intuitively explained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2002-00168-y
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    Paper (German National Licenses)
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