A note on a connection between the Poincaré-Arnold-Melnikov integral and the Picard-Vessiot theory

DOI10.4064/BC58-0-12zbMath1035.37041OpenAlexW2327250754MaRDI QIDQ4425073

Juan J. Morales-Ruiz

Publication date: 9 September 2003

Published in: Differential Galois Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/bc58-0-12

zbMATH Keywords

nonintegrabilityPicard-Vessiot theoryPoincaré-Arnold-Melnikov integral

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Differential algebra (12H05) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (5)

Nonintegrability of nearly integrable dynamical systems near resonant periodic orbits ⋮ Nonintegrability of forced nonlinear oscillators ⋮ Obstructions to integrability of nearly integrable dynamical systems near regular level sets ⋮ On the integrability of a system describing the stationary solutions in Bose-Fermi mixtures ⋮ Persistence of periodic and homoclinic orbits, first integrals and commutative vector fields in dynamical systems

This page was built for publication: A note on a connection between the Poincaré-Arnold-Melnikov integral and the Picard-Vessiot theory