Regularization of discontinuous vector fields on \({\mathbb{R}^3}\) via singular perturbation
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Publication:2641360
DOI10.1007/s10884-006-9057-7zbMath1127.34003OpenAlexW2045197309MaRDI QIDQ2641360
Jaume Llibre, Marco Antonio Teixeira, Paulo Ricardo da Silva
Publication date: 20 August 2007
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-006-9057-7
Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15)
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Cites Work
- Transversal heteroclinic and homoclinic orbits in singular perturbation problems
- Roughness of a discontinuous system
- Geometric singular perturbation theory for ordinary differential equations
- Singular perturbations, transversality, and Sil'nikov saddle-focus homoclinic orbits
- Regularization of discontinuous vector fields in dimension three
- Stability conditions for discontinuous vector fields
- Canard cycles and center manifolds
- Singular perturbation problems for time-reversible systems
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