02789nam 2200589 450 991082905470332120180613001259.01-4704-0162-2(CKB)3360000000464761(EBL)3113867(SSID)ssj0000888808(PQKBManifestationID)11462805(PQKBTitleCode)TC0000888808(PQKBWorkID)10865785(PQKB)10955899(MiAaPQ)EBC3113867(RPAM)1632863(PPN)195414594(EXLCZ)99336000000046476120140905h19961996 uy 0engur|n|---|||||txtccrCanard cycles and center manifolds /Freddy Dumortier, Robert RoussarieProvidence, Rhode Island :American Mathematical Society,1996.©19961 online resource (117 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 121, Number 577"May 1996, volume 121, number 577 (first of 4 numbers)."0-8218-0443-X Includes bibliographical references.""3 Foliations by center manifolds""""3.1 Normal forms for X at the non-isolated singular points""; ""3.2 Construction of center manifolds""; ""3.2.1 Center manifolds of type I""; ""3.2.2 Center manifolds of type II""; ""3.2.3 Center manifolds of type III""; ""3.2.4 Pictures of the center manifolds""; ""3.3 Foliations by center manifolds""; ""3.3.1 Foliation of type I""; ""3.3.2 Foliation of type II""; ""3.3.3 Foliations of type III""; ""4 The canard phenomenon""; ""4.1 The small limit periodic set""; ""4.2 Relation between the Abelian integrals and the center manifolds""""4.3 Explanation of the canard phenomenon by means of center manifolds""""4.3.1 Canard limit periodic sets of type I""; ""4.3.2 Canard limit periodic sets of type III""; ""4.3.3 Canard limit periodic sets of type II""; ""4.3.4 Bringing the foliations together (as a final step)""; ""References""; ""Appendix: on the proof of theorem 18""Memoirs of the American Mathematical Society ;Volume 121, Number 577.Boundary value problemsAsymptotic theoryPerturbation (Mathematics)Bifurcation theoryBoundary value problemsAsymptotic theory.Perturbation (Mathematics)Bifurcation theory.515/.352Dumortier Freddy53294Roussarie Robert H.MiAaPQMiAaPQMiAaPQBOOK9910829054703321Canard cycles and center manifolds3995229UNINA