title: Impulse-induced optimum control of escape from a metastable state by periodic secondary excitations.
abstract: We characterize the role of the impulse transmitted (time integral over a half-period) by resonant secondary excitations at controlling (suppressing and enhancing) escape from a potential well, which is induced by periodic primary excitations. By using the universal model of a dissipative Helmholtz oscillator, we demonstrate numerically that optimum control of escape occurs when the impulse transmitted by the chaos-controlling excitations is maximum while keeping their amplitude and period fixed. These findings are in complete agreement with analytical predictions from two independent methods: Melnikov analysis and energy-based analysis. Additional numerical results corresponding to other alternative escape-controlling excitations demonstrate the generality of the essential role of the excitation's impulse.
authors.affiliation: Departamento de Física Aplicada, Escuela de Ingenierías Industriales, Universidad de Extremadura, Apartado Postal 382, E-06006 Badajoz, Spain, EU.
authors.forename: R
authors.initials: R
authors.lastname: Chacón
authors.forename: J A
authors.initials: JA
authors.lastname: Martínez
authors.forename: J J
authors.initials: JJ
authors.lastname: Miralles
mesh_terms: D003198:Computer Simulation; D008962:Models, Theoretical; D009991:Oscillometry / Q000379:methods*