On Hamiltonian structures of quasi-Painlevé equations
DOI10.1088/1751-8121/ad0b5cMaRDI QIDQ6148235
Galina Filipuk, Alexander Stokes
Publication date: 11 January 2024
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Painlevé equationsnon-autonomous Hamiltonian systemquasi-Painlevé propertyalgebraic singularitiesspace of initial conditions
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65)
Cites Work
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- A cubic Hamiltonian system with meromorphic solutions
- Polynomial Hamiltonian systems with movable algebraic singularities
- On an orbifold Hamiltonian structure for the first Painlevé equation
- The first, second and fourth Painlevé equations on weighted projective spaces
- A class of differential equations of PI-type with the quasi-Painlevé property
- Nonlinear differential equations of second Painlevé type with the quasi-Painlevé property
- Polynomial Hamiltonians associated with Painleve equations. I
- Solutions of a modified third Painlevé equation are meromorphic
- An old new class of meromorphic functions
- On some Hamiltonian structures of Painlevé systems. II
- Regularising transformations for complex differential equations with movable algebraic singularities
- The meromorphic nature of the sixth Painlevé transcendents
- Painlevé–Calogero correspondence revisited
- Movable algebraic singularities of second-order ordinary differential equations
- Space of initial conditions for a cubic Hamiltonian system
- On Painlevé's equations I, II and IV
- Solutions of the first and second Painlevé equations are meromorphic
- Takasaki’s rational fourth Painlevé-Calogero system and geometric regularisability of algebro-Painlevé equations
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