Multiple time scales for nonlinear systems
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In this paper we extend the results on the multiple time-scale structure for linear autonomous systems of the form $$\dot x = A( \in )x$$ (cf. Coderchet al. ) to nonlinear autonomous systems. Our main result is in obtaining conditions under which the linearized system and the nonlinear system around an equilibrium point have the same time-scale structure.
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- Multiple time scales for nonlinear systems
Circuits, Systems and Signal Processing
Volume 5, Issue 1 , pp 153-169
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