Inhibition of chaotic escape from a potential well using small parametric modulations

Journal Article · Fri Nov 01 00:00:00 EST 1996 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.531720· OSTI ID:388196

Chacon, R ^[1]; Balibrea, F ^[2]; Lopez, M A ^[3]

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1. Departamento de Electronica e Ingenieria Electromecanica, Escuela de Ingenierias Industriales, Universidad de Extremadura, 06071 Badajoz (Spain)
2. Departamento de Matematicas, Universidad de Murcia, Murcia (Spain)
3. Departamento de Matematica Aplicada, Escuela Universitaria de Arquitectura Tecnica, Universidad de Castilla-La Mancha, 16002 Cuenca (Spain)

It is shown theoretically for the first time that, depending on its period, amplitude, and initial phase, a periodic parametric modulation can suppress a chaotic escape from a potential well. The instance of the Helmholtz oscillator is used to demonstrate, by means of Melnikov{close_quote}s method, that parametric modulations of the linear or quadratic potential terms inhibit chaotic escape when certain resonance conditions are met. {copyright} {ital 1996 American Institute of Physics.}

• OSTI ID: 388196
• Journal Information: Journal of Mathematical Physics, Vol. 37, Issue 11; Other Information: PBD: Nov 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
OSCILLATORS
POTENTIAL ENERGY
RESONANCE
PHASE SPACE
NONLINEAR PROBLEMS
CHAOTIC SYSTEMS
DYNAMICAL SYSTEMS