Incomplete approach to homoclinicity in a model with bent-slow manifold geometry

DOI10.1016/S0167-2789(99)00241-9zbMath0955.34030arXivnlin/0001030OpenAlexW1976213593MaRDI QIDQ1570776

G. Ananthakrishna, Sangem Rajesh

Publication date: 5 March 2001

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0001030

zbMATH Keywords

instabilityeigenvaluesplastic flowFarey sequencesperiod addingback-to-back Hopf bifurcationbent-slow manifoldperiod bubblingsaddle focus fixed pointShilnikov and Gavrilov-Shilnikov scenario

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Multiple scale methods for ordinary differential equations (34E13) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Uses Software

• AUTO
• AUTO-86

Cites Work

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