Methods in Equivariant Bifurcations and Dynamical Systems

By P. Chossat, R. Lauterbach. 2000

274 citations recorded by the source corpus.

Subfields: Geometry and Topology, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/027eeea9dc386bb05c3f9deac12b95300955cec8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Jeff Moehlis
2. Juan-Pablo Ortega
3. Bjorn Sandstede
4. Troy R. Smith
5. Ale Jan Homburg
6. Philip J. Holmes

In Numerical Analysis

1. Jeff Moehlis
2. Juan-Pablo Ortega
3. Bjorn Sandstede
4. Troy R. Smith
5. Ale Jan Homburg
6. Philip J. Holmes
7. John Mallet-Paret
8. Arnd Scheel

In Statistical and Nonlinear Physics

1. Jeff Moehlis
2. Juan-Pablo Ortega
3. Joan-Andreu L'azaro-Cam'i
4. Bjorn Sandstede
5. Troy R. Smith
6. Ale Jan Homburg
7. Philip J. Holmes
8. Hiroya Nakao

Citations in the corpus

• REDUCTION, RECONSTRUCTION, AND SKEW-PRODUCT DECOMPOSITION OF SYMMETRIC STOCHASTIC DIFFERENTIAL EQUATIONS (2007, background): “Symmetries have historically played a role of paramount importance in the study of dynamical systems in general (see [GS85, GS02, ChL00 ], and references therein) and of physical, mechanical, and Hamiltonian systems in particular (see for instance [AM78, MR99, OR04] for general presentations of the”
• Low-Dimensional Modelling of Turbulence Using the Proper Orthogonal Decomposition: A Tutorial (2005, methodology): “Much progress in understanding the dynamics of symmetric dynamical systems has resulted from the application of the techniques of equivariant bifurcation theory [21, 14, 12, 20].”
• Homoclinic and heteroclinic bifurcations in vector fields (2010, background): “For general background on equivariant flows, we refer the reader to the books [153] and [87, 132, 133]; the latter references also contain sections on homoclinic and heteroclinic bifurcation theory.”