Slow divergence integral on a Möbius band

DOI10.1016/j.jde.2018.11.002zbMath1418.34114OpenAlexW2900221698MaRDI QIDQ1731850

Renato Huzak

Publication date: 14 March 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.11.002

zbMATH Keywords

bifurcationPoincaré mapslow divergence integralslow-fast cyclenon-orientable manifold

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Ordinary differential equations and systems on manifolds (34C40) Singular perturbations for ordinary differential equations (34E15) Canard solutions to ordinary differential equations (34E17)

Related Items

Fractal dimensions and two-dimensional slow-fast systems

Cites Work

• Unnamed Item
• Cyclicity of common slow-fast cycles
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Canard cycles of finite codimension with two breaking parameters
• Slow divergence integral and balanced canard solutions
• Time analysis and entry-exit relation near planar turning points
• Limit cycles in slow-fast codimension 3 saddle and elliptic bifurcations
• Canard cycles in the presence of slow dynamics with singularities
• Homoclinic loop bifurcations on a Möbius band
• Canard cycles and center manifolds
• Relaxation oscillation and canard explosion

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