Counter-Examples in Dynamical Systems via Normal Form Theory
Copyright policy )Counter-Examples in Dynamical Systems via Normal Form Theory
Bei der Behandlung gewöhnlicher Differentialgleichungen beschränkt man sich häufig auf die linearisierte Form, da diese - auf die Normalform gebracht - geschlossen gelöst werden kann. Bei bestimmten Differentialgleichungsformen versagt diese Methode. Verf. erläutert entsprechende Kriterien und diskutiert das Entartungsproblem an einer Reihe bekannter Beispiele, bei denen geschlossene Lösungen vorliegen.
Averaging method for ordinary differential equations, Dynamical systems and ergodic theory, first order differential equation, bifurcation, normal forms, Nonlinear oscillations and coupled oscillators for ordinary differential equations, linearization, invariant tori, Nonlinear ordinary differential equations and systems
Averaging method for ordinary differential equations, Dynamical systems and ergodic theory, first order differential equation, bifurcation, normal forms, Nonlinear oscillations and coupled oscillators for ordinary differential equations, linearization, invariant tori, Nonlinear ordinary differential equations and systems
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