\(\Psi\)-series and obstructions to integrability of periodically perturbed one degree of freedom Hamiltonians.
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Publication:1968090
DOI10.1016/S0375-9601(96)00754-2zbMath1037.70509OpenAlexW2028485893MaRDI QIDQ1968090
Efi Meletlidou, Simos Ichtiaroglou
Publication date: 7 March 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0375-9601(96)00754-2
Nonlinear ordinary differential equations and systems (34A34) Forced motions for nonlinear problems in mechanics (70K40) Hamilton's equations (70H05)
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- The analytic structure of dynamical systems and self-similar natural boundaries
- A criterion for non-integrability based on Poincaré's theorem
- The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness
- On the nonexistence of an analytic integral of motion in periodically perturbed one degree of freedom Hamiltonians
- Singularity clustering in the Duffing oscillator
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
- On the analytic structure of two-degree-of-freedom Hamiltonian systems around an elliptic fixed point
- Convergence of psi-series solutions of the Duffing equation and the Lorenz system
- On the number of isolating integrals in perturbed Hamiltonian systems with n>or=3 degrees of freedom