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  • 1
    Electronic Resource
    Electronic Resource
    Numerical investigations on strong pattern selecting Eckhaus instabilities in neon glow discharges (2000)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 7 (2000), S. 729-739 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Starting from the hydrodynamic description of the positive column in a neon glow discharge, a numerical approach is used in order to study the nonlinear properties of ionization waves. Within the instability region of the homogeneous equilibrium state, a secondary instability of the Eckhaus type is found. Compared to the classical results, the plasma system shows some peculiarities, e.g., an asymmetric stability band and strong selection of periodic patterns. The dependency of the shape and the width of this band on the discharge parameters is investigated. The spatiotemporal dynamics connected with the transitions from the stability band to the instability region have been studied showing different behavior on the upper and lower border of the stability region. Normally a subcritical Eckhaus instability has been revealed. Moreover, at selected sets of plasma parameters the phenomenon of spatiotemporal intermittency is found. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.873859
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  • 2
    Electronic Resource
    Electronic Resource
    Onset of chaotic wave dynamics near the critical point in a glow discharge: Theory and experiment (2001)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 8 (2001), S. 146-150 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Conditions for the onset of irregular wave dynamics are derived from a theoretical description of ionization waves in a glow discharge by means of amplitude equations. It is shown that the Benjamin–Feir condition of the cubic Ginzburg–Landau equation is a necessary but not sufficient condition for loss of stability of plane waves in a higher order amplitude equation. The onset conditions are numerically evaluated in the case of a neon discharge. Experimental findings concerning the onset of chaotic wave dynamics near the critical point agree very well with the theoretical predictions. This example reveals physical relevance of higher order nonlinearities close to the critical point. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1332119
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  • 3
    Electronic Resource
    Electronic Resource
    Erratum: "Numerical investigations on strong pattern selecting Eckhaus instabilities in neon glow discharges" [Phys. Plasmas 7, 729 (2000)] (2000)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 7 (2000), S. 3481-3481 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: © American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.874216
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  • 4
    Electronic Resource
    Electronic Resource
    Observation of the spatiotemporal dynamics of ionization wave mode transitions (1998)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 5 (1998), S. 833-835 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Experimental observation of transitions between discrete longitudinal wave modes in a dc neon glow discharge is reported. Experimental findings concerning the pattern selecting instability agree with observations of the Eckhaus instability in fluid systems. This is supported by theoretical considerations of a model equation (Complex Ginzburg–Landau equation) based on a fluid model. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.873089
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  • 5
    Electronic Resource
    Electronic Resource
    Phase space structure and chaotic scattering in near-integrable systems (1993)
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 3 (1993), S. 443-457 
    Details
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We investigate the bifurcation phenomena and the change in phase space structure connected with the transition from regular to chaotic scattering in classical systems with unbounded dynamics. The regular systems discussed in this paper are integrable ones in the sense of Liouville, possessing a degenerated unstable periodic orbit at infinity. By means of a McGehee transformation the degeneracy can be removed and the usual Melnikov method is applied to predict homoclinic crossings of stable and unstable manifolds for the perturbed system. The chosen examples are the perturbed radial Kepler problem and two kinetically coupled Morse oscillators with different potential parameters which model the stretching dynamics in ABC molecules. The calculated subharmonic and homoclinic Melnikov functions can be used to prove the existence of chaotic scattering and of elliptic and hyperbolic periodic orbits, to calculate the width of the main stochastic layer and of the resonances, and to predict the range of initial conditions where singularities in the scattering function are found. In the second example the value of the perturbation parameter at which channel transitions set in is calculated. The theoretical results are supplemented by numerical experiments.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.165951
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  • 6
    Electronic Resource
    Electronic Resource
    Factorization of complex canonical transformations (1997)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 38 (1997), S. 3718-3734 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: We investigate the Lie series representation of the canonical transformations in a finite dimensional complex phase space. It is shown that any transformation of this type can be factorized into a product of three factors associated with a pure imaginary generating function, a holomorphic function, and an element of the cyclic group C4. The imaginary function can be considered as an observable in the sense of classical mechanics. Some hints are given which suggest that the holomorphic function can be connected with the notion of the state of a physical system. Moreover, a special kind of mappings is studied which provides a link between entropy, action, and state functions. The occurrence of these important physical quantities shows that the mathematical structure goes beyond a formal analogy to quantum physics at least in the finite dimensional case. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.532064
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  • 7
    Electronic Resource
    Electronic Resource
    Generalisierte Thromboendangiitis obliterans (1957)
    Springer
    European journal of pediatrics 79 (1957), S. 597-608 
    Details
    ISSN: 1432-1076
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Zusammenfassung Bericht über einen $$3{\raise0.5ex\hbox{$\scriptstyle 3$}\kern-0.1em/\kern-0.15em\lower0.25ex\hbox{$\scriptstyle 4$}}$$ jährigen Jungen mit generalisierter Thromboendangiitis obliterans, dabei Hemiplegie rechts, motorischer Aphasie, symmetrischer Akrocynanose mit Ulcerationen an den Händen. Weiter fand sich ein hirnatrophischer Prozeß mit Bevorzugung der linken Hemisphäre. Die Hirnangiographie ergab einen thromboangiitischen Prozeß im Bereich des A. carotis interna-Kreislaufes rechts und links mit Bevorzugung des A. cerebri media-Kreislaufes. Durch Behandlung mit Depotpadutin konnte eine deutliche und anhaltende Besserung der Extremitätendurchblutung erreicht werden. Besprechung der Ätiologie, Diagnostik und Pathogenese.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00441993
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