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Saddle-node bifurcation of homoclinic orbits in singular systems

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Publication:1864090
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DOI10.3934/DCDS.2001.7.203zbMath1023.34034OpenAlexW2028078983MaRDI QIDQ1864090

Flaviano Battelli

Publication date: 16 March 2003

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2001.7.203


zbMATH Keywords

saddle-node bifurcationhomoclinic orbitsMelnikov functions


Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)


Related Items (1)

Exponential trichotomy and homoclinic bifurcation with saddle-center equilibrium







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