We approximate impact systems in arbitrary finite dimensions with fast-slow dynamics represented by regular ODE on one side of the impact manifold and singular ODE on the other. Lyapunov-Schmidt method leading to Poincaré-Melnikov function is applied to study bifurcations of periodic solutions.
Fast-slow Dynamical Approximation of Forced Impact Systems Near Periodic Solutions / Battelli, Flaviano; Michal, Feckan. - In: BOUNDARY VALUE PROBLEMS. - ISSN 1687-2770. - ELETTRONICO. - 2013:71(2013), pp. 1-33. [10.1186/1687-2770-2013-71]
Fast-slow Dynamical Approximation of Forced Impact Systems Near Periodic Solutions
BATTELLI, Flaviano;
2013-01-01
Abstract
We approximate impact systems in arbitrary finite dimensions with fast-slow dynamics represented by regular ODE on one side of the impact manifold and singular ODE on the other. Lyapunov-Schmidt method leading to Poincaré-Melnikov function is applied to study bifurcations of periodic solutions.File in questo prodotto:
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