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Differential Equations with Bifocal Homoclinic Orbits

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Publication:4374477
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DOI10.1142/S0218127497000030zbMath0893.34039OpenAlexW2017054124MaRDI QIDQ4374477

Paul Glendinning

Publication date: 24 July 1998

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127497000030

zbMATH Keywords

vector fieldsbifocal homoclinic orbits


Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Local and nonlocal bifurcation theory for dynamical systems (37G99)


Related Items

On the Dynamics Near a Homoclinic Network to a Bifocus: Switching and Horseshoes, Construction of a Class of Four-Dimensional Piecewise Affine Systems with Homoclinic Orbits, Strange attractors and wandering domains near a homoclinic cycle to a bifocus, On the existence of homoclinic orbits in \(n\)-dimensional piecewise affine systems, A homoclinic hierarchy., Bifocal homoclinic bifurcations, Shilnikov chaos, Filippov sliding and boundary equilibrium bifurcations



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