Nonlinear Phenomena in Complex Systems, 2015, Vol.18, No.2, pp.259-265

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2015, Vol.18, No.2, pp.259-265

Effect of Weak Dissipation on The Dynamics of Multidimensional Hamiltonian Systems
E. V. Felk, A. V. Savin, A. P. Kuznetsov

We discuss the effect of weak dissipation on the system with Arnold diffusion which consists of two coupled twist maps. The finite time Lyapunov exponents are used to analyze the dynamics. We observe the phenomenon of transient chaos and changes in the phase space structure including the disappearance of some resonances.

Key words: Arnold diffusion, weakly dissipative systems, transient chaos, conservative systems

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