Regular and chaotic transport of discrete solitons in asymmetric potentials

Abstract

Ratchet dynamics of topological solitons of the forced and damped discrete double sine-Gordon system are studied. Directed transport occurring both in regular and in chaotic regions of the phase space and its dependence on damping, amplitude and frequency of the driving, asymmetry parameter, coupling constant, has been extensively investigated. We show that the passage from ratchet phase-locked regime to chaotic ratchets occurs via a period doubling route to chaos and that, quite surprisingly, pinned states can exist inside phase-locking and chaotic transport regions for intermediate values of the coupling constant. The possibility to control chaotic discrete soliton ratchets by means of both small subharmonic signals and more general periodic drivings, has also been investigated.

References in corpus (4)

• High efficiency deterministic Josephson Vortex Ratchet
• Dynamics of matter-wave solitons in a ratchet potential
• Optical ratchets with discrete cavity solitons
• Discrete soliton ratchets driven by biharmonic fields

Cited by in corpus (4)

• Spectroscopy and Directed Transport of Topological Solitons in Crystals of Trapped Ions
• Directed Ratchet Transport in Granular Crystals
• Asymmetric ac fluxon depinning in a Josephson junction array: A highly discrete limit
• Collective Coordinates Theory for Discrete Soliton Ratchets in the sine-Gordon Model