Local orthogonal rectification: deriving natural coordinates to study flows relative to manifolds
DOI10.3934/dcdsb.2020088zbMath1450.34014OpenAlexW3015055390MaRDI QIDQ784318
Benjamin Letson, Jonathan E. Rubin
Publication date: 3 August 2020
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2020088
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Geometric methods in ordinary differential equations (34A26) Invariant manifolds for ordinary differential equations (34C45) Canard solutions to ordinary differential equations (34E17)
Related Items (2)
Cites Work
- Unnamed Item
- Stability and stabilization of the constrained runs schemes for equation-free projection to a slow manifold
- Extending the zero-derivative principle for slow-fast dynamical systems
- Local analysis near a folded saddle-node singularity
- Geometric singular perturbation theory for ordinary differential equations
- Greater accuracy and broadened applicability of phase reduction using isostable coordinates
- Phase-amplitude descriptions of neural oscillator models
- Phase-amplitude response functions for transient-state stimuli
- Limit cycles and Lie symmetries
- Isostables, isochrons, and Koopman spectrum for the action-angle representation of stable fixed point dynamics
- Canards of Folded Saddle-Node Type I
- A New Frame for an Old (Phase) Portrait: Finding Rivers and Other Flow Features in the Plane
- Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems
- Geometrical conditions for the stability of orbits in planar systems
- Canards in \(\mathbb{R}^3\)
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