Dynamical analysis by using oriented crossing locations

Letellier, C.; Me´nard, O.; Gouesbet, G.; Wang, W.; Kiss, I.; Hudson, J.
February 2000
AIP Conference Proceedings;2000, Vol. 502 Issue 1, p462
Academic Journal
In order to extend the possibilities of the topological characterization of chaotic dynamical systems, we use oriented crossings in 3D subspaces of the whole phase space to gain information relevant to the architecture of the phase portrait. We do this by identifying the zones of the phase space where the nonlinearities act. Such a rough reduction of the problem allows one to investigate high dimensional and/or weakly dissipative systems. It also provides a qualitative comparison of models with experimental data. This method is used to analyze data generated by a nickel electrodissolution experiment as well as data generated by a spark ignition engine. © 2000 American Institute of Physics.


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