Integral manifolds, canards and black swans

DOI10.1016/S0362-546X(99)00312-0zbMath0985.34039OpenAlexW2005052714MaRDI QIDQ5940166

Vladimir Sobolev, Elena Shchepakina

Publication date: 10 May 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00312-0

zbMATH Keywords

higher dimensional canardintegral manifoldsingularly perturbed system

Mathematics Subject Classification ID

Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15)

Related Items (8)

Control of integral manifolds loosing their attractivity in time ⋮ Canard solutions and travelling waves in the spruce budworm population model ⋮ A New Approach to Canards Chase in 3D ⋮ Existence of canard manifolds in a class of singularly perturbed systems ⋮ A black swan and canard cascades in an SIR infectious disease model ⋮ Black swans and canards in two predator – one prey model ⋮ Existence of canards under non-generic conditions ⋮ Black swans and canards in self-ignition problem

Cites Work

• Chasse au canard
• Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed
• Duck trajectories in a thermal explosion problem
• Criterion for thermal explosion with reactant consumption in a dusty gas
• Non-standard analysis and singular perturbations of ordinary differential equations
• A symptotic analysis of canards in the EOE equations and the role of the inflection line
• Relaxation oscillations including a standard chase on French ducks
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