Painlevé Equations and Related Topics : : Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011 / / ed. by Alexander D. Bruno, Alexander B. Batkhin.
This is a proceedings of the international conference "Painlevé Equations and Related Topics" which was taking place at the Euler International Mathematical Institute, a branch of the Saint Petersburg Department of the Steklov Institute of Mathematics of the Russian Academy of Sciences, in...
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Superior document: | Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2012] ©2012 |
Year of Publication: | 2012 |
Language: | English |
Series: | De Gruyter Proceedings in Mathematics
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Physical Description: | 1 online resource (272 p.) |
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Table of Contents:
- Frontmatter
- Preface
- Contents
- Part I. Plane Power Geometry
- Chapter 1. Plane Power Geometry for One ODE and P1–P6
- Chapter 2. New Simple Exact Solutions to Equation P6
- Chapter 3. Convergence of a Formal Solution to an ODE
- Chapter 4. Asymptotic Expansions and Forms of Solutions to P6
- Chapter 5. Asymptotic Expansions of Solutions to P5
- Part II. Space Power Geometry
- Chapter 6. Space Power Geometry for one ODE and P1–P4, P6
- Chapter 7. Elliptic and Periodic Asymptotic Forms of Solutions to P5
- Chapter 8. Regular Asymptotic Expansions of Solutions to One ODE and P1–P5
- Part III. Isomondromy Deformations
- Chapter 9. Isomonodromic Deformations on Riemann Surfaces
- Chapter 10. On Birational Darboux Coordinates of Isomonodromic Deformation Equations Phase Space
- Chapter 11. On the Malgrange Isomonodromic Deformations of Nonresonant Irregular Systems
- Chapter 12. Critical behavior of P6 Functions from the Isomonodromy Deformations Approach
- Chapter 13. Isomonodromy Deformation of the Heun Class Equation
- Chapter 14. Isomonodromy Deformations and Hypergeometric-Type Systems
- Chapter 15. A Monodromy Problem Connected with P6
- Chapter 16. Monodromy Evolving Deformations and Confluent Halphen’s Systems
- Chapter 17. On the Gauge Transformation of the Sixth Painlevé Equation
- Chapter 18. Expansions for Solutions of the Schlesinger Equation at a Singular Point
- Part IV. Painlevé Property
- Chapter 19. Painleve Analysis of Lotka–Volterra Equations
- Chapter 20. Painlevé Test and Briot–Bouquet Systems
- Chapter 21. Solutions of the Chazy System
- Chapter 22. Third-Order Ordinary Differential Equations with the Painlevé Test
- Chapter 23. Analytic Properties of Solutions of a Class of Third-Order Equations with an Irrational Right-Hand Side
- Part V. Other Aspects
- Chapter 24. The Sixth Painlevé Transcendent and Uniformizable Orbifolds
- Chapter 25. On Uniformizable Representation for Abelian Integrals
- Chapter 26. Phase Shift for a Special Solution to the Korteweg–de Vries Equation in the Whitham Zone
- Chapter 27. Fuchsian Reduction of Differential Equations
- Chapter 28. The Voros Coefficient and the Parametric Stokes Phenomenon for the Second Painlevé Equation
- Chapter 29. Integral Symmetry and the Deformed Hypergeometric Equation
- Chapter 30. Integral Symmetries for Confluent Heun Equations and Symmetries of Painlevé Equation P5
- Chapter 31. From the Tau Function of Painlevé P6 Equation to Moduli Spaces
- Chapter 32. On particular Solutions of q-Painlevé Equations and q-Hypergeometric Equations
- Chapter 33. Derivation of Painlevé Equations by Antiquantization
- Chapter 34. Integral Transformation of Heun’s Equation and Apparent Singularity
- Chapter 35. Painlevé Analysis of Solutions to Some Nonlinear Differential Equations and their Systems Associated with Models of the Random-Matrix Type
- Chapter 36. Reductions on the Lattice and Painlevé Equations P2, P5, P6
- Comments