Painlevé property and geometry

DOI10.1016/0167-2789(89)90259-5zbMath0701.58024OpenAlexW2034007101MaRDI QIDQ914216

Nicholas M. Ercolani, Eric D. Siggia

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90259-5

zbMATH Keywords

symplectic manifolddiscrete Hamiltonian systemsPainlevé system

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hamilton-Jacobi equations in mechanics (70H20)

Related Items

A perturbative Painlevé approach to nonlinear differential equations, Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations, Integrability of Chern–Simons–Higgs and Abelian Higgs vortex equations in a background metric, The Hénon-Heiles system, Investigation of Painlevé property under time singularities transformations, Symplectic Structure of the Painlevé Test, Completion of vector fields and the Painlevé property, Solutions of nonlinear equations of divergence type in domains having corner points, Mirror transformations of Hamiltonian systems, Lie symmetries of the Lorenz model

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