Experimental Study of Parametric Autoresonance in Faraday Waves

Abstract

The excitation of large amplitude nonlinear waves is achieved via parametric autoresonance of Faraday waves. We experimentally demonstrate that phase locking to low amplitude driving can generate persistent high-amplitude growth of nonlinear waves in a dissipative system. The experiments presented are in excellent agreement with theory.

4 pages, 4 eps figures, to appear in Phys. Rev. Lett

References in corpus (3)

• Square Patterns and Quasi-patterns in Weakly Damped Faraday Waves
• Parametric autoresonance
• Parametric Autoresonance in Faraday waves

Cited by in corpus (7)

• Kinetic simulations of ladder climbing by electron plasma waves
• Quantum versus classical phase-locking transition in a driven-chirped oscillator
• Quantum phenomena in a chirped parametric anharmonic oscillator
• Ladder Climbing and Autoresonant Acceleration of Plasma Waves
• Faraday resonance in dynamical bar instability of differentially rotating stars
• Two-photon ladder climbing and transition to autoresonance in a chirped oscillator
• Limiting Phase Trajectories: a new paradigm for the study of highly non-stationary processes in Nonlinear Physics