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Symmetry-Breaking Homoclinic Bifurcations in Diffusively Coupled Equations

โœ Scribed by Y. Morita; J. Dockery; M. Pernarowski


Book ID
110351044
Publisher
Springer US
Year
2001
Tongue
English
Weight
271 KB
Volume
13
Category
Article
ISSN
1040-7294

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case, the degeneracy is dealt with by splitting the vector field into two parts, one tangent to the group orbit and the other In problems with O(2) symmetry, the Jacobian matrix at nontrivial steady state solutions with D n symmetry always has a zero eigen-normal to it. A standard bifurcation analy