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  • 1
    Electronic Resource
    Electronic Resource
    Resonant-Separatrix Webs in Stochastic Layers of the Twin-Well Duffing Oscillator (1999)
    Springer
    Nonlinear dynamics 19 (1999), S. 37-48 
    Details
    ISSN: 1573-269X
    Keywords: resonant-separatrix web ; stochastic layer ; energy spectrum ; Duffing oscillator
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The excitation strength for the onset of a new resonant-separatrix in the stochastic layer of the Duffing oscillator is predicted through the energy change in minimum and maximum energy spectra. The widths of stochastic layers are estimated through the use of the maximum and minimum energy which can be measured experimentally. The energy spectrum approach, rather than the Poincaré mapping section method, is applied to detect the resonant-separatrix web in the stochastic layer, and it is applicable for the onset of resonant layers in nonlinear dynamic systems. The analytical condition for the onset of a new resonant-separatrix in the stochastic layer is also presented. The analytical and numerical predictions are in good agreement.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008383030507
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    Paper (German National Licenses)
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  • 2
    Book
    Book
    Advances in time delay systems /; 38 (2004)
    Berlin [u.a.] :Springer,
    Details
    Title: Advances in time delay systems /; 38
    Contributer: Niculescu, Silviu-Iulian , Gu, Keqin
    Publisher: Berlin [u.a.] :Springer,
    Year of publication: 2004
    Pages: XIII, 446 S. : , graph. Darst.
    Series Statement: Lecture notes in computational science and engineering 38
    ISBN: 3-540-20890-9
    Type of Medium: Book
    Language: English
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    Zuse Institute Berlin get availability status
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