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The first, second and fourth Painlevé equations on weighted projective spaces

  • Published:2016-01 Issue:2 Volume:260 Page:1263-1313
  • ISSN:0022-0396
  • Container-title:Journal of Differential Equations
  • language:en
  • Short-container-title:Journal of Differential Equations

Author:

Chiba HayatoORCID

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference32 articles.

1. A connection between nonlinear evolution equations and ordinary differential equations of P-type. I;Ablowitz;J. Math. Phys.,1980

2. Recherches sur les transcendantes de M. Painlevé et l'etude asymptotique des équations différentielles du second ordre;Boutroux;Ann. Sci. Éc. Norm. Supér. (3),1913

3. Kovalevskaya exponents and Poisson structures;Borisov;Regul. Chaotic Dyn.,1999

4. A Compactified Riccati Equation of Airy Type on a Weighted Projective Space;Chiba,2015

5. Periodic orbits and chaos in fast-slow systems with Bogdanov–Takens type fold points;Chiba;J. Differential Equations,2011

Cited by 15 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Orbifold Hamiltonian Structures of Certain Quasi-Painlevé Equations;Journal of Dynamics and Differential Equations;2024-05-15

2. Classification of Real Solutions of the Fourth Painlevé Equation;Mathematics;2024-01-31

3. Dynamics of the Fifth Painlevé Foliation;Handbook of Geometry and Topology of Singularities VI: Foliations;2024

4. Epilogue: Stokes Phenomena. Dynamics, Classification Problems and Avatars;Handbook of Geometry and Topology of Singularities VI: Foliations;2024

5. On Hamiltonian structures of quasi-Painlevé equations;Journal of Physics A: Mathematical and Theoretical;2023-11-20
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