Chacón Ricardo
Departamento de Física Aplicada, Escuela de Ingenierías Industriales, Universidad de Extremadura, Apartado Postal 382, E-06071 Badajoz, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Dec;78(6 Pt 2):066608. doi: 10.1103/PhysRevE.78.066608. Epub 2008 Dec 17.
Optimal energy amplification via autoresonance in dissipative systems subjected to separatrix crossings is discussed through the universal model of a damped driven pendulum. Analytical expressions of the autoresonance responses and forces as well as the associated adiabatic invariants for the phase space regions separated by the underlying separatrix are derived from the energy-based theory of autoresonance. Additionally, applications to a single Josephson junction, topological solitons in Frenkel-Kontorova chains, as well as to the three-wave problem in dissipative media are discussed in detail from the autoresonance analysis.
通过阻尼驱动摆的通用模型，讨论了在经历分界线穿越的耗散系统中通过自共振实现的最佳能量放大。基于自共振的能量理论，推导了由基础分界线分隔的相空间区域的自共振响应、力以及相关绝热不变量的解析表达式。此外，还从自共振分析的角度详细讨论了其在单个约瑟夫森结、弗伦克尔 - 康托罗娃链中的拓扑孤子以及耗散介质中的三波问题上的应用。
