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Book sections
Invariant Manifolds of Complex Systems
Abstract : The aim of this work is to establish the existence of invariant manifolds in complex systems. Considering trajectory curves integral of multiple time scales dynamical systems of dimension two and three (predator-prey models, neuronal bursting models) it is shown that there exists in the phase space a curve (resp. a surface) which is invariant with respect to the flow of such systems. These invariant manifolds are playing a very important role in the stability of complex systems in the sense that they are "restoring" the determinism of trajectory curves.
Cited literature [6 references]
https://hal-univ-tln.archives-ouvertes.fr/hal-01056170
Contributor : Jean-Marc Ginoux Connect in order to contact the contributor
Submitted on : Monday, August 18, 2014 - 8:02:29 AM
Last modification on : Thursday, February 7, 2019 - 4:13:37 PM
Long-term archiving on: : Tuesday, April 11, 2017 - 8:09:31 PM
Contributor : Jean-Marc Ginoux Connect in order to contact the contributor
Submitted on : Monday, August 18, 2014 - 8:02:29 AM
Last modification on : Thursday, February 7, 2019 - 4:13:37 PM
Long-term archiving on: : Tuesday, April 11, 2017 - 8:09:31 PM
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