Some Analytic calculations of the Characteristic Exponents

Abstract

As is well known, the variational equations of nonlinear dynamic systems are linear time-varying (LTV) by nature. In the modal solutions for these LTV equations, the earlier introduced dynamic eigenvalues play a key role. They are closely related to the Lyapunovand Floquet-exponents of the corresponding nonlinear systems. In this contribution, we present some simple examples for which analytic solutions exist. It is also demonstrated by example how the classical linear time-invariant (LTI) solutions are related to the equilibrium points of the general LTV solutions.

DOI: 10.1142/S021812740701955X

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Cite this paper

@article{Kloet2007SomeAC, title={Some Analytic calculations of the Characteristic Exponents}, author={P. van der Kloet and F. L. Neerhoff and N. H. Waning}, journal={I. J. Bifurcation and Chaos}, year={2007}, volume={17}, pages={3675-3678} }