Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/3507

 Title: On the Instability of Action Variables in Non-Convex Hamiltonian Systems Authors: Yordanov, BorislavYordanova, Roumyana Keywords: Hamiltonian systemsinstabilityresonancesArnold diffusion Issue Date: 2014 Publisher: Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences Citation: Pliska Studia Mathematica Bulgarica, Vol. 23, No 1, (2014), 189p-209p Abstract: We show the instability of action variables on resonant orbits of certain non-convex Hamiltonian systems with several degrees of freedom. Such orbits remain in the vicinity of resonant surfaces where the action variables can undergo changes O(1) infinitely often although the size of perturbations O(ε) can be arbitrarily small. We also perform numerical simulations to compare the effects of two condition for instability in two four-dimensional examples with random parameters. 2000 Mathematics Subject Classification: Primary 37J25, 37J40; Secondary 37C10, 37C40. Description: [Yordanov Borislav; Йорданов Борислав]; [Yordanova Roumyana; Йорданова Румяна] URI: http://hdl.handle.net/10525/3507 ISSN: 0204-9805 Appears in Collections: 2014 Volume 23

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