On the \(C^1\) non-integrability of the autonomous differential systems

DOI10.1016/J.NONRWA.2023.103943zbMath1522.34008OpenAlexW4382138843MaRDI QIDQ6171342

Jaume Llibre

Publication date: 11 August 2023

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2023.103943

zbMATH Keywords

periodic orbitsdifferential systems\(C^1\) integrabilityJayne-Cummings differential system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05) Averaging method for ordinary differential equations (34C29)

Cites Work

• Unnamed Item
• Averaging methods for finding periodic orbits via Brouwer degree.
• Non-integrability of the semiclassical Jaynes-Cummings models without the rotating-wave approximation
• Averaging theory for discontinuous piecewise differential systems
• Integrability and non-integrability in Hamiltonian mechanics
• On theC¹non-integrability of differential systems via periodic orbits
• Forgotten and neglected theories of Poincaré
• Differential Galois theory and non-integrability of Hamiltonian systems

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