The Persistence of a Slow Manifold with Bifurcation

DOI10.1137/110820671zbMath1253.34047OpenAlexW1966073621MaRDI QIDQ2913842

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Publication date: 21 September 2012

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

Full work available at URL: https://doi.org/10.1137/110820671

zbMATH Keywords

blow-uppitchfork bifurcationstethered satellitessingularly perturbed Hamiltonian systemsslow manifolds with bifurcations

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15)

Related Items (3)

Exponential estimates of symplectic slow manifolds ⋮ Periodic orbits near a bifurcating slow manifold ⋮ Computation of Saddle-Type Slow Manifolds Using Iterative Methods

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