Titlebook: Dynamics, Bifurcation and Symmetry; New Trends and New T Pascal Chossat Book 1994 Springer Science+Business Media Dordrecht 1994 applied ma

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Analyzing Bifurcations in the Kolmogorov Flow Equations,ursting regime and a regime that exhibits discrete traveling waves. A Karhunen Loeve analysis is used to identify the structures in phase space that generate the PDE behavior. Their relationship to the invariant subspaces generated by the symmetry group is discussed.

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Oscillator Networks with the Symmetry of the Unit Quaternion Group,ternions. We investigate Hopf bifurcation and the isotropy subgroups for the weakly coupled limit. We find a generic scenario where structurally stable heteroclinic cycles connecting limit cycles arise; these may be asymptotically or essentially asymptotically stable, in the terminology of Krupa and

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GLARE

A Classification of 2-Modes Interactions with , Symmetry and Applications,e of the already known classification of isotropy cypes in the one-parameter case. As an application, we classify isotropy lattices for 2-modes interaction with . symmetry and we study three cases of physical interest.

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