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  • Physical Review Letters
  • 1
    Language: English
    In: Physical review letters, 03 December 2004, Vol.93(23), pp.234101
    Description: We propose a definition of finite-space Lyapunov exponent. For discrete-time dynamical systems, it measures the local (between neighboring points) average spreading of the system. We justify our definition by showing that, for large classes of chaotic maps, the corresponding finite-space Lyapunov exponent approaches the Lyapunov exponent of a chaotic map when M--〉infinity, where M is the cardinality of the discrete phase space. In analogy with continuous systems, we say the system has pseudochaos if its finite-space Lyapunov exponent tends to a positive number (or to +infinity), when M--〉infinity.
    Keywords: Physics;
    ISSN: 0031-9007
    E-ISSN: 10797114
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  • 2
    Language: English
    In: Physical review letters, 03 November 2006, Vol.97(18), pp.188701
    Description: We suggest a method for estimating the topology of a network based on the dynamical evolution supported on the network. Our method is robust and can be also applied when disturbances and/or modeling errors are presented. Several examples with networks of phase oscillators, pulse-coupled Hindmarch-Rose neurons, and Lorenz oscillators are provided to illustrate our approach.
    Keywords: Physics;
    ISSN: 0031-9007
    E-ISSN: 10797114
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  • 3
    Language: English
    In: Physical Review Letters, 9/1996, Vol.77(11), pp.2206-2209
    Keywords: Physics;
    ISSN: 0031-9007
    E-ISSN: 1079-7114
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  • 4
    Language: English
    In: Physical Review Letters, 10/1997, Vol.79(17), pp.3158-3161
    Keywords: Physics;
    ISSN: 0031-9007
    E-ISSN: 1079-7114
    Source: American Physical Society (APS) (via CrossRef)
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  • 5
    Language: English
    In: Physical Review Letters, 7/1997, Vol.79(1), pp.51-54
    Description: A general approach for synchronizing pairs of unidirectionally coupled partial differential equations (PDEs) with spatiotemporally chaotic dynamics is introduced. We show that for a large class of PDEs, a pair of PDEs can be synchronized by driving the response system only at a finite number of space points. We also discuss the relevance of our results for control of spatiotemporal chaos.
    Keywords: Physics;
    ISSN: 0031-9007
    E-ISSN: 1079-7114
    Source: American Physical Society (APS) (via CrossRef)
    Library Location Call Number Volume/Issue/Year Availability
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