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New analytical technique for predicting homoclinic bifurcations in autonomous dynamical systems

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Publication:1269820
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DOI10.1016/S0093-6413(98)00006-8zbMath0934.37013MaRDI QIDQ1269820

Mohamed Belhaq

Publication date: 13 April 2000

Published in: Mechanics Research Communications (Search for Journal in Brave)


zbMATH Keywords

limit cycleshomoclinic solutionsaveragingMelnikov's methodplanar differential equations


Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29)


Related Items (4)

Direct approach to detect the heteroclinic bifurcation of the planar nonlinear system ⋮ ANALYTICS OF HOMOCLINIC BIFURCATIONS IN THREE-DIMENSIONAL SYSTEMS ⋮ Prediction of homoclinic bifurcation: the elliptic averaging method ⋮ Homoclinic bifurcation of strongly nonlinear oscillators by frequency-incremental method




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