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  • 1
    Electronic Resource
    Electronic Resource
    Noise controlled spiral growth in excitable media (1995)
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 5 (1995), S. 458-462 
    Details
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We consider a two-dimensional pulse-coupled array of noisy threshold elements with a long-range interaction. For tight coupling, we observe the formation of spatio-temporal excitation waves, such as target and spiral waves. For weak coupling, we find noise sustained spiral growth, where the noise level controls the scale of the spiral. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.166117
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Chaos in the international arms race (1989)
    [s.l.] : Nature Publishing Group
    Nature 337 (1989), S. 701-704 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] 'DETERMINISTIC chaos' has emerged as a novel and important concept in the natural sciences. Unexpected features in the time evolution of nonlinear, complex systems have been revealed, and study of them has paved the way to understanding the erratic temporal behaviour of macroscopic variables in ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/337701a0
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Chaos in the Heart: Implications for Clinical Cardiology (1990)
    [s.l.] : Nature Publishing Company
    Nature biotechnology 8 (1990), S. 1018-1024 
    Details
    ISSN: 1546-1696
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: [Auszug] Mathematical “chaos” appears to occur in the heartbeat time-series. Low-dimensional chaos can be visualized as a geometric or spatial pattern in a temporal process. Several methods are available for representing these geometric patterns, including the mutual information content, the ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/nbt1190-1018
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  • 4
    Electronic Resource
    Electronic Resource
    An explicit construction of a class of suspensions and autonomous differential equations for diffeomorphisms in the plane (1987)
    Springer
    Communications in mathematical physics 111 (1987), S. 63-74 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract From a large class of diffeomorphisms in the plane, which are known to produce chaotic dynamics, we explicitly construct their continuous suspension on a three dimensional cylinder. This suspension is smooth (C 1) and can be characterized by the choice of two smooth functions on the unit interval, which have to fulfill certain boundary conditions. For the case of entire Cremona transformations, we are able to construct the corresponding autonomous differential equations of the flow explicitly. Thus it is possible to relate properties of discrete maps to those of ordinary differential equations in a quantitative manner. Furthermore, our construction makes it possible to study the exact solutions of chaotic differential-equations directly.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01239015
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  • 5
    Electronic Resource
    Electronic Resource
    Spatiotemporal chaos and noise (1989)
    Springer
    Journal of statistical physics 54 (1989), S. 1489-1508 
    Details
    ISSN: 1572-9613
    Keywords: Fractal dimensions ; Lyapunov spectra ; comoving Lyapunov dimension ; coupled map lattice ; spatiotempora! chaos ; noise-induced transitions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Low-dimensional chaotic dynamical systems can exhibit many characteristic properties of stochastic systems, such as broad Fourier spectra. They are distinguishable from stochastic processes through finite values for their dimension, Lyapunov exponents, and Kolmogorov-Sinai entropy. We discuss how these characteristic observables are modified in spatiotemporal chaotic systems like. coupled map lattices. We analyze with the help of Lyapunov concepts how the stochastic limit is approached and how these properties can be observed directly through local dimension measurements from reconstructed time series. Finally, we discuss the interaction of spatiotemporal attractors with external noise and possible connections to problems of pattern selection and stability.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01044730
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    Paper (German National Licenses)
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