Download e-book for kindle: Singularities and Groups in Bifurcation Theory: Volume II: 2 by Martin Golubitsky,Ian Stewart,David G. Schaeffer

By Martin Golubitsky,Ian Stewart,David G. Schaeffer

Bifurcation conception reports how the constitution of recommendations to equations adjustments as parameters are diverse. the character of those alterations relies either at the variety of parameters and at the symmetries of the equations. quantity I discusses how singularity-theoretic concepts reduction the certainty of transitions in multiparameter structures. This quantity makes a speciality of bifurcation issues of symmetry and exhibits how group-theoretic ideas reduction the certainty of transitions in symmetric structures. 4 huge subject matters are lined: staff idea and steady-state bifurcation, equicariant singularity thought, Hopf bifurcation with symmetry, and mode interactions. the outlet bankruptcy offers an creation to those topics and motivates the examine of structures with symmetry. distinctive case stories illustrate how group-theoretic equipment can be utilized to investigate particular difficulties coming up in applications.

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Singularities and Groups in Bifurcation Theory: Volume II: 2 (Applied Mathematical Sciences) by Martin Golubitsky,Ian Stewart,David G. Schaeffer


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