Periodic Orbits near equilibria
Copyright policy )Periodic Orbits near equilibria
AbstractLyapunov, Weinstein, and Moser obtained remarkable theorems giving sufficient conditions for the existence of periodic orbits emanating from an equilibrium point of a differential system with a first integral. Using averaging theory, we establish a similar result for a differential system without assuming the existence of a first integral. Our result can also be interpreted as a kind of special Hopf bifurcation. © 2010 Wiley Periodicals, Inc.
- Autonomous University of Barcelona Spain
- Instituto Superior de Espinho Portugal
Averaging method for ordinary differential equations, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, averaging method, Periodic solutions to ordinary differential equations, periodic orbits
Averaging method for ordinary differential equations, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, averaging method, Periodic solutions to ordinary differential equations, periodic orbits
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