Persistence of periodic and homoclinic orbits, first integrals and commutative vector fields in dynamical systems

DOI10.1088/1361-6544/ac24e4OpenAlexW3203374623WikidataQ114096637 ScholiaQ114096637MaRDI QIDQ5157823

Shoya Motonaga, Kazuyuki Yagasaki

Publication date: 20 October 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.08026

zbMATH Keywords

perturbationperiodic orbithomoclinic orbitfirst integralMelnikov's methodcommutative vector field

Mathematics Subject Classification ID

Related Items (5)

Nonintegrability of nearly integrable dynamical systems near resonant periodic orbits ⋮ Sub-harmonic Melnikov function for a high-dimensional non-smooth coupled system ⋮ Existence of homoclinic orbit of Shilnikov type and the application in Rössler system ⋮ Nonintegrability of forced nonlinear oscillators ⋮ Obstructions to integrability of nearly integrable dynamical systems near regular level sets

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