A class of second order Hamiltonian systems of Duffing type with time-periodic and almost-periodic force fields is considered. The interest is in the relation between the structure of the set of homoclinic motions and the existence of chaotic solutions. In particular, the non-degeneracy condition needed for the construction of an approximate Bernoulli shift is investigated.
Terracini, S. (1999). Non degeneracy and chaotic motions for a class of almost-periodic Lagrangean systems. NONLINEAR ANALYSIS, 37(3), 337-361 [10.1016/S0362-546X(98)00051-0].
Non degeneracy and chaotic motions for a class of almost-periodic Lagrangean systems
TERRACINI, SUSANNA
1999
Abstract
A class of second order Hamiltonian systems of Duffing type with time-periodic and almost-periodic force fields is considered. The interest is in the relation between the structure of the set of homoclinic motions and the existence of chaotic solutions. In particular, the non-degeneracy condition needed for the construction of an approximate Bernoulli shift is investigated.
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