Stability of Travelling Waves
Received:March 11, 1992  
Key Words: stability   travelling waves   nonlinear ODE   O(2) symmetry   extendedsystem  
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Author NameAffiliation
Wu Wei Mathematics Department
Jilin University
Changchun 
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Abstract:
      An extended system was introduced in[1]for the computation of travellingwave (or rotating wave) solutions of nonlinear ODE's with O(2) symmetry. In this paperwe show that the stability of the travelling waves can be determined by the eigenvaluesof the extended system in a way similar io the situation for the stability of usual steady-state solutions.
Citation:
DOI:10.3770/j.issn:1000-341X.1994.03.001
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