ANALYTICS OF HOMOCLINIC BIFURCATIONS IN THREE-DIMENSIONAL SYSTEMS

DOI10.1142/S0218127402005996zbMath1043.37043OpenAlexW1984913125MaRDI QIDQ4736308

Mohamed Belhaq, Faouzi Lakrad

Publication date: 9 August 2004

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

Full work available at URL: https://doi.org/10.1142/s0218127402005996

zbMATH Keywords

homoclinic bifurcationmultiple scale methodPeriodic orbitthree-dimensional systems

Mathematics Subject Classification ID

Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

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Two models for the parametric forcing of a nonlinear oscillator ⋮ Codimension-3 bifurcations of a class of homoclinic loop with saddle-point ⋮ ANALYTICAL APPROXIMATION OF HETEROCLINIC BIFURCATION IN A 1:4 RESONANCE ⋮ Bifurcation analysis of a van der Pol-Duffing circuit with parallel resistor ⋮ Analytics of heteroclinic bifurcation in a \(3:1\) subharmonic resonance ⋮ On periodic motions in three-dimensional systems ⋮ On periodic motion and bifurcations in three-dimensional nonlinear systems ⋮ On the Heteroclinic Connections in the 1:3 Resonance Problem

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