Bifurcation from heteroclinic orbits with semi-hyperbolic equilibria

DOI10.1007/BF01765638zbMath0813.34046MaRDI QIDQ1342829

Flaviano Battelli

Publication date: 15 January 1995

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

exponential trichotomiesbifurcation from a heteroclinic orbitMelnikov-type conditions

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Shadowing and Silnikov chaos ⋮ An approach to Mel’nikov theory in celestial mechanics

Cites Work

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• The Riemann problem for 2\(\times 2\) systems of hyperbolic conservation laws with case I quadratic nonlinearities
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• Simultaneous equilibrium and heteroclinic bifurcation of planar vector fields via the Melnikov integral
• The Saddle-Node Separatrix-Loop Bifurcation
• ON THE SMOOTHNESS OF THE COMPOSITION MAP