Chaos in driven Alfvén systems

DOI PDF 被引用文献3件
  • T. Hada
    Department of Physics and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, Los Angeles, California 90024-1547
  • C. F. Kennel
    Department of Physics and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, Los Angeles, California 90024-1547
  • B. Buti
    Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91125
  • E. Mjo/lhus
    Institute of Mathematical and Physical Sciences, University of Tro/mso, Tro/mso, Norway

説明

<jats:p>The chaos in a one-dimensional system, which would be nonlinear stationary Alfvén waves in the absence of an external driver, is characterized. The evolution equations are numerically integrated for the transverse wave magnetic field amplitude and phase using the derivative nonlinear Schrödinger equation (DNLS), including resistive wave damping and a long-wavelength monochromatic, circularly polarized driver. A Poincaré map analysis shows that, for the nondissipative (Hamiltonian) case, the solutions near the phase space (soliton) separatrices of this system become chaotic as the driver amplitude increases, and ‘‘strong’’ chaos appears when the driver amplitude is large. The dissipative system exhibits a wealth of dynamical behavior, including quasiperiodic orbits, period-doubling bifurcations leading to chaos, sudden transitions to chaos, and several types of strange attractors.</jats:p>

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