Transitions between periodic orbits and control of chaos assisted by an external force in hamiltonian systems



Título del documento: Transitions between periodic orbits and control of chaos assisted by an external force in hamiltonian systems
Revue: Brazilian journal of physics
Base de datos: PERIÓDICA
Número de sistema: 000152477
ISSN: 0103-9733
Autores: 1

Instituciones: 1Universidade Estadual de Campinas, Instituto de Fisica "Gleb Wataghin", Campinas, Sao Paulo. Brasil
Año:
Periodo: Sep
Volumen: 28
Número: 3
Paginación: 203-210
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico
Resumen en inglés We investigate the possibility of inducing transitions between periodic orbits in two-dimensional Hamiltonian systems by means of a time-localized external perturbation. We show that the amplitude of the perturbation can be approximately calculated in the limit of a delta-type force in terms of the initial and final periodic orbits. For a specific Hamiltonian, we show several numerical examples where the external perturbation, varied from delta-type to gaussian, allows transitions between specifically chosen members of families of periodic orbits. The same mechanism is then applied to move aperiodic chaotic orbits into periodic ones, presenting a new way to control chaotic behavior in Hamiltonian systems
Disciplinas: Física y astronomía,
Matemáticas
Palabras clave: Física,
Matemáticas aplicadas,
Sistemas hamiltonianos,
Caos,
Orbitas periódicas,
Transiciones
Keyword: Physics and astronomy,
Mathematics,
Physics,
Applied mathematics,
Hamiltonian systems,
Chaos,
Periodic orbits,
Transitions
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