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  • 1
    Electronic Resource
    Electronic Resource
    Characterization of chaos (1992)
    Springer
    International journal of theoretical physics 31 (1992), S. 1345-1362 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We give a brief introduction to chaos and its characterization. We examine some standard systems in detail from the perspective of chaos and review their properties. Concepts necessary to understand them, such as dimension, are also reviewed. To illustrate the main ideas, we choose three examples which have served as paradigms for the study of chaos in physical systems, namely, the Hénon discrete mapping, the Lorenz system of coupled ordinary differential equations, and the Mackey-Glass infinite-dimensional delay differential equation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00673968
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Induced decay of positronium and grasers (1983)
    Springer
    International journal of theoretical physics 22 (1983), S. 193-206 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The differential cross section and the total cross section for the stimulated decay of positronium by an incident photon of frequencyΩ is calculated as a function of the dimensionless variableξ=hΩ/mc 2. Forξ≫1 the total cross section is found to decrease asξ −2. We also look at the particular case of positronium in a black-body radiation field. Expressions for the number of induced annihilations per second as functions of the dimensionless ratiomc 2/kT and the number of positronium atoms are obtained. It is found that this rate is proportional to (kT/mc 2)2 forkT⩽mc 2 and to (kT/mc 2)ln(kT/mc 2) forkT≫mc 2. The possibility of utilizing induced two-photon decay of positronium as a γ-ray laser at the wavelength λ C /2 is examined, where λ C is the Compton wavelength.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02082529
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  • 3
    Electronic Resource
    Electronic Resource
    The formation and evolution of fractal structure within chaotic attractors (1994)
    Springer
    International journal of theoretical physics 33 (1994), S. 459-486 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In this paper we examine in detail the formation and evolution of fractal structure in the chaotic attractors of nonlinear dynamical systems. We explicitly obtain the fractal structure of the underlying chaotic attractors of low-dimensional systems and study their evolution as a system parameter is varied. Using periodic enumeration, dimensional, andf(α) spectral techniques, we obtain a detailed characterization of the multifractal structure.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00844984
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  • 4
    Electronic Resource
    Electronic Resource
    Exact solutions for interacting finite potential wells (1981)
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 19 (1981), S. 745-753 
    Details
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Exact wave functions and eigenenergy relations are obtained for a biwell potential as a function of interwell displacement and single well parameters. The proliferation of energies is shown explicitly as the wells are brought into close proximity. The model is compared with the opaque division-wall model. These results find important application in laser and nuclear physics.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/qua.560190505
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