Homoclinic Bifurcations with Nonhyperbolic Equilibria

DOI10.1137/0521037zbMath0698.34037OpenAlexW2258685316MaRDI QIDQ3475592

Publication date: 1990

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://digitalcommons.unl.edu/mathfacpub/225

zbMATH Keywords

contraction mapping principle homoclinic orbits center manifold implicit function theorem bifurcation problems nonhyperbolic equilibrium points

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Complex behavior and chaotic systems of ordinary differential equations (34C28)

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