On homoclinic bifurcation emanating from Takens-Bogdanov points in Hamiltonian systems

DOI10.1007/S000330300004zbMath1073.34045OpenAlexW2044494327MaRDI QIDQ1404193

Mingyou Huang, Weihua Du

Publication date: 20 August 2003

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000330300004

zbMATH Keywords

homoclinic orbitTakens-Bogdanov pointHamiltonian saddle node bifurcation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (1)

Critical homoclinics in a restricted four-body problem: numerical continuation and center manifold computations

This page was built for publication: On homoclinic bifurcation emanating from Takens-Bogdanov points in Hamiltonian systems