By Martin Golubitsky, Ian Stewart
Bifurcation conception reports how the constitution of options to equations alterations as parameters are diverse. the character of those adjustments relies either at the variety of parameters and at the symmetries of the equations. quantity I discusses how singularity-theoretic strategies relief the certainty of transitions in multiparameter structures. This quantity makes a speciality of bifurcation issues of symmetry and indicates how group-theoretic ideas relief the certainty of transitions in symmetric platforms. 4 extensive subject matters are lined: team idea and steady-state bifurcation, equicariant singularity idea, Hopf bifurcation with symmetry, and mode interactions. the outlet bankruptcy offers an creation to those matters and motivates the examine of platforms with symmetry. certain case stories illustrate how group-theoretic tools can be utilized to research particular difficulties coming up in purposes.
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