Space of initial conditions for a cubic Hamiltonian system

DOI10.1080/17476933.2017.1423479zbMath1408.34070arXiv1705.00234OpenAlexW2963606898MaRDI QIDQ4646588

Thomas Kecker

Publication date: 14 January 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.00234

zbMATH Keywords

Hamiltonian systemsPainlevé equationsspace of initial conditions

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Related Items (2)

Regularising transformations for complex differential equations with movable algebraic singularities ⋮ On Hamiltonian structures of quasi-Painlevé equations

Cites Work

• Unnamed Item
• A cubic Hamiltonian system with meromorphic solutions
• Polynomial Hamiltonian systems with movable algebraic singularities
• Asymptotic behavior of the fourth Painlevé transcendents in the space of initial values
• Global asymptotics of the second Painlevé equation in Okamoto's space
• Okamoto's space for the first Painlevé equation in Boutroux coordinates
• Rational surfaces associated with affine root systems and geometry of the Painlevé equations
• An old new class of meromorphic functions
• On some Hamiltonian structures of Painlevé systems. II

This page was built for publication: Space of initial conditions for a cubic Hamiltonian system