Nonlinear dynamics in periodic phase space

A Iomin, Dimitri Gangardt, S Fishman

Research output: Contribution to journalArticle

12 Citations (Scopus)


Regular and chaotic dynamics of a system with periodic phase space perturbed by an alternating external field is considered. It is relevant for the electronic motion in two dimensions in the presence of a uniform magnetic field and a perpendicular alternating electric field. The phase space is divided into cells embedded in a chaotic mesh. Bifurcations of resonances within the cells are studied. Transport takes place in the chaotic mesh. It is analyzed in the framework of the separatrix map. Accelerator modes are found for some values of parameters and their bifurcations are investigated. Their effects on transport in phase space are discussed.
Original languageEnglish
Pages (from-to)4054-4062
Number of pages9
JournalPhysical Review E (Statistical, Nonlinear, and Soft Matter Physics)
Issue number4
Publication statusPublished - 1 Apr 1998


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