Orbital stability and homoclinic bifurcation in a parametrized deformable double-well potential

M. F.Kepnang Pebeu; Frank T. Ndjomatchoua; T. L.M.Djomo Mbong; Carlos L. Gninzanlong; C. B. Tabi; T. C. Kofane

doi:10.1016/j.chaos.2019.109411

Orbital stability and homoclinic bifurcation in a parametrized deformable double-well potential

M. F.Kepnang Pebeu, Frank T. Ndjomatchoua, T. L.M.Djomo Mbong, Carlos L. Gninzanlong, C. B. Tabi, T. C. Kofane

Botswana International University of Science & Technology

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The motion of a particle in a one-dimensional deformable double-well potential is studied. In a case study related deformable potential that permits theoretical adaptation of the model to various physical situations, the existence and the stability of periodic motion as well as the routes toward chaos upon the potential parameter are investigated. It is demonstrated that the shape of the potential is crucial in controlling the orbital stability of the system. The occurrence of chaotic motions is found to be quite sensitive to the shape parameter of the potential. These instability and chaotic behaviors result from a delicate balance between the damping, the periodic force and the total nonlinearity induced by the variable shape potential.

Original language	English
Article number	109411
Journal	Chaos, Solitons and Fractals
Volume	130
DOIs	https://doi.org/10.1016/j.chaos.2019.109411
Publication status	Published - Jan 1 2020

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

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10.1016/j.chaos.2019.109411

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title = "Orbital stability and homoclinic bifurcation in a parametrized deformable double-well potential",

abstract = "The motion of a particle in a one-dimensional deformable double-well potential is studied. In a case study related deformable potential that permits theoretical adaptation of the model to various physical situations, the existence and the stability of periodic motion as well as the routes toward chaos upon the potential parameter are investigated. It is demonstrated that the shape of the potential is crucial in controlling the orbital stability of the system. The occurrence of chaotic motions is found to be quite sensitive to the shape parameter of the potential. These instability and chaotic behaviors result from a delicate balance between the damping, the periodic force and the total nonlinearity induced by the variable shape potential.",

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TY - JOUR

T1 - Orbital stability and homoclinic bifurcation in a parametrized deformable double-well potential

AU - Pebeu, M. F.Kepnang

AU - Ndjomatchoua, Frank T.

AU - Mbong, T. L.M.Djomo

AU - Gninzanlong, Carlos L.

AU - Tabi, C. B.

AU - Kofane, T. C.

PY - 2020/1/1

Y1 - 2020/1/1

N2 - The motion of a particle in a one-dimensional deformable double-well potential is studied. In a case study related deformable potential that permits theoretical adaptation of the model to various physical situations, the existence and the stability of periodic motion as well as the routes toward chaos upon the potential parameter are investigated. It is demonstrated that the shape of the potential is crucial in controlling the orbital stability of the system. The occurrence of chaotic motions is found to be quite sensitive to the shape parameter of the potential. These instability and chaotic behaviors result from a delicate balance between the damping, the periodic force and the total nonlinearity induced by the variable shape potential.

AB - The motion of a particle in a one-dimensional deformable double-well potential is studied. In a case study related deformable potential that permits theoretical adaptation of the model to various physical situations, the existence and the stability of periodic motion as well as the routes toward chaos upon the potential parameter are investigated. It is demonstrated that the shape of the potential is crucial in controlling the orbital stability of the system. The occurrence of chaotic motions is found to be quite sensitive to the shape parameter of the potential. These instability and chaotic behaviors result from a delicate balance between the damping, the periodic force and the total nonlinearity induced by the variable shape potential.

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JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

M1 - 109411

ER -

Orbital stability and homoclinic bifurcation in a parametrized deformable double-well potential

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