Recurrence and chaotic behavior resulting from nonlinear interaction between long and short waves

Journal Article · Tue Jan 01 00:00:00 EST 1991 · Physics of Fluids A; (USA)

DOI:https://doi.org/10.1063/1.857866· OSTI ID:6045257

Yoshinaga, T; Wakamiya, M; Kakutani, T ^[1]

---

1. Department of Mechanical Engineering, Faculty of Engineering Science, Osaka University, Toyonaka, Osaka 560, Japan (JP)

Long time asymptotic behavior resulting from nonlinear interaction between long and short waves is examined numerically by using the Fourier expansion method. A slightly modulated short wave is adopted as an initial condition. The results exhibit recurrence or chaotic motion, depending upon the magnitude of the control parameters involved in the governing equations. It is found that the chaotic motion is possible, even in a case for which only a single unstable mode exists in the Fourier modes.

• OSTI ID: 6045257
• Journal Information: Physics of Fluids A; (USA), Vol. 3:1; ISSN 0899-8213
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
LOW-BETA PLASMA
NONLINEAR PROBLEMS
ASYMPTOTIC SOLUTIONS
BOUNDARY CONDITIONS
FOURIER ANALYSIS
NUMERICAL ANALYSIS
PLASMA
PLASMA INSTABILITY
RESONANCE
SOLITONS
INSTABILITY
MATHEMATICS
QUASI PARTICLES
640410* - Fluid Physics- General Fluid Dynamics