Eur. Phys. J. Special Topics 226, 1777-1784 (2017)
https://doi.org/10.1140/epjst/e2017-70025-y

Regular Article

Transient chaos in multidimensional Hamiltonian system with weak dissipation

¹ Saratov State University, Saratov, Russia
² Saratov Branch of the Institute of Radio-Engineering and Electronics of RAS, Saratov, Russia

^a e-mail: FelkEkaterina@yandex.ru

Received: 31 January 2017
Revised: 15 March 2017
Published online: 21 June 2017

Abstract

The dynamics of two coupled twist maps with weak dissipation is studied. The calculation of Lyapunov exponents is used to analyze the structure of the action plane of the system. The chaotic transient dynamics is revealed for extremely small values of dissipation by calculation of finite-time Lyapunov exponents. The stagger-and-step method is used to obtain the chaotic saddle and it is found that it is similar to the Arnold web.