Towards Differential Geometric Characterization of Slow Invariant Manifolds in Extended Phase Space: Sectional Curvature and Flow Invariance

DOI10.1137/16M1106353zbMath1396.34041arXiv1612.01308WikidataQ115246949 ScholiaQ115246949MaRDI QIDQ4571155

Pascal Heiter, Dirk Lebiedz

Publication date: 6 July 2018

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01308

zbMATH Keywords

sectional curvaturemodel reductiondifferential geometryslow invariant manifold

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Differential invariants (local theory), geometric objects (53A55)

Related Items (4)

On Differential Geometric Formulations of Slow Invariant Manifold Computation: Geodesic Stretching and Flow Curvature ⋮ Inflection, canards and folded singularities in excitable systems: application to a 3D FitzHugh-Nagumo model ⋮ Slow Invariant Manifolds of Slow–Fast Dynamical Systems ⋮ Flow curvature manifold and energy of generalized Liénard systems

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