Homoclinic chaos in the discrete self-trapping trimer

D. Hennig; H. Gabriel; Michael Finn Jørgensen; Peter Leth Christiansen; Carl A. Balslev Clausen

doi:10.1103/PhysRevE.51.2870

Homoclinic chaos in the discrete self-trapping trimer

D. Hennig, H. Gabriel, Michael Finn Jørgensen, Peter Leth Christiansen, Carl A. Balslev Clausen

Free University of Berlin

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Abstract

We study the discrete self-trapping (DST) equation with three degrees of freedom. By taking the DST dimer as the underlying unperturbed system we treat the coupling to the additional oscillator as a small perturbation. Using the generalized Melnikov method we prove the existence of homoclinic chaos in the DST-trimer dynamics.

Original language	English
Journal	Physical Review E. Statistical, Nonlinear, and Soft Matter Physics
Volume	51
Issue number	4
Pages (from-to)	2870-2876
ISSN	1063-651X
DOIs	https://doi.org/10.1103/PhysRevE.51.2870
Publication status	Published - 1995

Bibliographical note

Copyright (1995) by the American Physical Society.

Keywords

HAMILTONIAN-SYSTEMS
NONLINEAR DIRECTIONAL COUPLER
EXPONENTS
EQUATION
FREEDOM
DYNAMICS

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http://link.aps.org/doi/10.1103/PhysRevE.51.2870

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abstract = "We study the discrete self-trapping (DST) equation with three degrees of freedom. By taking the DST dimer as the underlying unperturbed system we treat the coupling to the additional oscillator as a small perturbation. Using the generalized Melnikov method we prove the existence of homoclinic chaos in the DST-trimer dynamics.",

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AU - Hennig, D.

AU - Gabriel, H.

AU - Jørgensen, Michael Finn

AU - Christiansen, Peter Leth

AU - Clausen, Carl A. Balslev

N1 - Copyright (1995) by the American Physical Society.

PY - 1995

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N2 - We study the discrete self-trapping (DST) equation with three degrees of freedom. By taking the DST dimer as the underlying unperturbed system we treat the coupling to the additional oscillator as a small perturbation. Using the generalized Melnikov method we prove the existence of homoclinic chaos in the DST-trimer dynamics.

AB - We study the discrete self-trapping (DST) equation with three degrees of freedom. By taking the DST dimer as the underlying unperturbed system we treat the coupling to the additional oscillator as a small perturbation. Using the generalized Melnikov method we prove the existence of homoclinic chaos in the DST-trimer dynamics.

KW - HAMILTONIAN-SYSTEMS

KW - NONLINEAR DIRECTIONAL COUPLER

KW - EXPONENTS

KW - EQUATION

KW - FREEDOM

KW - DYNAMICS

U2 - 10.1103/PhysRevE.51.2870

DO - 10.1103/PhysRevE.51.2870

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EP - 2876

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 4

ER -

Homoclinic chaos in the discrete self-trapping trimer

Abstract

Bibliographical note

Keywords

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