BIFURCATION OF SINGULAR POINTS NEAR A DOUBLE FOLD POINT INZ2 -SYMMETRIC NONLINEAR EQUATIONS-中国Betway体育网页登陆

摘要 WeconsiderthebifurcationofsingularpointsnearadoublefoldpointinZ2-symmetricnonlinearequationswithtwoparameters,wherethelinearizationhasatwodimensionalnullspacespannedbyasymmetricnullvectorandanami-symmetricnullvector.Inparticular,weshowtheexistenceofaturningpointpathandapitchforkpointpathpassingihroughthedoublefoldpointandtheyaretheonlysingularpointsnearby.Theirnondegeneracyisconfirmed.Asupportingnumericalexampleisalsoprovided.Themaintoolsforouranalysisaswellasthecompulationaresomeextendedsystems.

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BIFURCATION OF SINGULAR POINTS NEAR A DOUBLE FOLD POINT INZ2 -SYMMETRIC NONLINEAR EQUATIONS

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