On a computational approach for the approximate dynamics of averaged variables in nonlinear ODE systems: toward the derivation of constitutive laws of the rate type

Aarti Sawant; Amit Acharya

arxiv: math/0508627 · v2 · pith:BXP2NIATnew · submitted 2005-08-30 · 🧮 math.NA · cs.NA· math.DS

On a computational approach for the approximate dynamics of averaged variables in nonlinear ODE systems: toward the derivation of constitutive laws of the rate type

Amit Acharya , Aarti Sawant This is my paper

classification 🧮 math.NA cs.NAmath.DS

keywords approachnonlinearsystemsappliedapproximatearisingautonomousaveraged

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A non-perturbative approach to the time-averaging of nonlinear, autonomous ODE systems is developed based on invariant manifold methodology. The method is implemented computationally and applied to model problems arising in the mechanics of solids.

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On a computational approach for the approximate dynamics of averaged variables in nonlinear ODE systems: toward the derivation of constitutive laws of the rate type

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