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Holmes, Philip J.; Marsden, Jerrold E.

Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom. (English) Zbl 0489.58013

Commun. Math. Phys. 82, 523-544 (1982).
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Cited in 5 Reviews
Cited in 82 Documents

MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
37D99 Dynamical systems with hyperbolic behavior
70H05 Hamilton’s equations

Keywords:

Hamiltonian and non-Hamiltonian perturbations of integrable two degree of freedom Hamiltonian systems which contain homoclinic and periodic orbits; system consisting of the simple pendulum and the harmonic oscillator; introducing horseshoes into the dynamics; Melnikov theory
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Full Text: DOI

References:

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