Cuevas J, Sánchez-Rey B, Salerno M
Departamento de Física Aplicada I, EUP, Universidad de Sevilla, Sevilla, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Jul;82(1 Pt 2):016604. doi: 10.1103/PhysRevE.82.016604. Epub 2010 Jul 20.
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, and 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.
研究了受迫和阻尼离散双正弦 - 戈登系统拓扑孤子的棘轮动力学。广泛研究了相空间正则区域和混沌区域中发生的定向输运及其对阻尼、驱动的幅度和频率、不对称参数以及耦合常数的依赖性。我们表明，从棘轮锁相状态到混沌棘轮的转变是通过倍周期通向混沌的途径发生的，而且令人惊讶的是，对于耦合常数的中间值，在锁相和混沌输运区域内可以存在 pinned 态。还研究了通过小次谐波信号和更一般的周期驱动来控制混沌离散孤子棘轮的可能性。
