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

Details 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 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

2005-08-30

arxiv.org/abs/math/0508627v2

Mathematics

Numerical Analysis

34 pages PDF

Scientific paper

10.1016/j.jmps.2006.03.007

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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