Chaos in driven Alfven systems

Journal Article · Thu Nov 01 04:00:00 EST 1990 · Physics of Fluids B; (USA)

DOI:https://doi.org/10.1063/1.859383· OSTI ID:6229184

Hada, T; Kennel, C F ^[1]; Buti, B ^[2]; Mjolhus, E ^[3]

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1. Department of Physics, University of California, Los Angeles, CA (USA) Institute of Geophysics and Planetary Physics, University of California, Los Angeles, CA (USA)
2. Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA (USA)
3. Institute of Mathematical and Physical Sciences, University of Tromso, Tromso (Norway)

The chaos in a one-dimensional system, which would be nonlinear stationary Alfven 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 Schroedinger equation (DNLS), including resistive wave damping and a long-wavelength monochromatic, circularly polarized driver. A Poincare 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.

• OSTI ID: 6229184
• Journal Information: Physics of Fluids B; (USA), Journal Name: Physics of Fluids B; (USA) Vol. 2:11; ISSN 0899-8221; ISSN PFBPE
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALFVEN WAVES
DAMPING
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
EQUATIONS
HYDROMAGNETIC WAVES
MAGNETIC FIELDS
MONOCHROMATIC RADIATION
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
POLARIZATION
RADIATIONS
SCHROEDINGER EQUATION
STANDING WAVES
TURBULENCE
WAVE EQUATIONS