On polynomial forms of nonlinear functional differential equations

DOI10.3934/JCD.2021013zbMath1482.34148OpenAlexW3177323227WikidataQ115219028 ScholiaQ115219028MaRDI QIDQ1983478

Olivier Hénot

Publication date: 10 September 2021

Published in: Journal of Computational Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jcd.2021013

zbMATH Keywords

periodic orbitsinvariant manifoldsautomatic differentiationequilibriafunctional differential equations

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Periodic solutions to functional-differential equations (34K13) General theory of functional-differential equations (34K05) Stationary solutions of functional-differential equations (34K21)

Related Items (6)

Parameterization of unstable manifolds for DDEs: formal series solutions and validated error bounds ⋮ Validated integration of differential equations with state-dependent delay ⋮ Constructive proofs for localised radial solutions of semilinear elliptic systems on Rd ⋮ Numerical Computation of Transverse Homoclinic Orbits for Periodic Solutions of Delay Differential Equations ⋮ Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs ⋮ Rigorous continuation of periodic solutions for impulsive delay differential equations

Cites Work

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• Chaotic motions in the restricted four body problem via Devaney's saddle-focus homoclinic tangle theorem
• The parameterization method for invariant manifolds. III: Overview and applications
• The Iterative Solutions of the Analytical N-Body Problem
• The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces
• The parameterization method for invariant manifolds II: regularity with respect to parameters
• Zur numerischen Integration von Differentialgleichungen durch Potenzreihen‐Ansätze, dargestellt an Hand physikalischer Beispiele

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