Theory and Application of a Nongeneric Heteroclinic Loop Bifurcation

DOI10.1137/S0036139995294548zbMath0929.34035MaRDI QIDQ4258454

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Publication date: 13 September 1999

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

implicit function theoremprincipal eigenvaluesMelnikov functionsheteroclinic loop bifurcationstwisted and nontwisted heteroclinic orbits

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Solitary waves for incompressible inviscid fluids (76B25) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (1)

Bifurcations of heteroclinic loop accompanied by pitchfork bifurcation

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