Painlevé equations and related topics. Proceedings of the international conference, Saint Petersburg, Russia, June 17–23, 2011. (English) Zbl 1248.34002

De Gruyter Proceedings in Mathematics. Berlin: de Gruyter (ISBN 978-3-11-027558-2/hbk; 978-3-11-027566-7/ebook). xiv, 372 p. (2012).

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The articles of this volume will be reviewed individually.
Indexed articles:
Bruno, Alexander D., Plane power geometry for one ODE and \({P_1}-{P_6}\), 3-12 [Zbl 1291.34025]
Batkhin, Alexander B.; Batkhina, Natalia V., New simple exact solutions to equation \(P_6\), 13-21 [Zbl 1291.34152]
Goryuchkina, Irina V., Convergence of a formal solution to an ODE, 23-26 [Zbl 1291.34027]
Goryuchkina, Irina V., Asymptotic expansions and forms of solutions to \(P_6\), 27-31 [Zbl 1291.34154]
Parusnikova, Anastasia V., Asymptotic expansions of solutions to \(P_5\), 33-38 [Zbl 1291.34157]
Bruno, Alexander D., Space power geometry for one ODE and \(P_1-P_4 P_6\), 41-51 [Zbl 1290.34093]
Bruno, Alexander D.; Parusnikova, Anastasia V., Elliptic and periodic asymptotic forms of solutions to \(P_5\), 53-65 [Zbl 1291.34153]
Bruno, Alexander D., Regular asymptotic expansions of solutions to one ODE and \(P_1-P_5\), 67-82 [Zbl 1290.34094]
Artamonov, Dmitry V., Isomonodromic deformations on Riemann surfaces, 85-89 [Zbl 1290.34099]
Babich, Mikhail V., On birational Darboux coordinates of isomonodromic deformation equations phase space, 91-94 [Zbl 1290.34100]
Bibilo, Yuliya P.; Gontsov, Renat R., On the malgrange isomonodromic deformations of nonresonant irregular systems, 95-99 [Zbl 1290.34101]
Guzzetti, Davide, Critical behavior of \(P_6\) functions from the isomonodromy deformations approach, 101-105 [Zbl 1290.34102]
Kazakov, Alexander Ya., Isomonodromy deformation of the Heun class equation, 107-116 [Zbl 1290.34103]
Leksin, Vladimir P., Isomonodromy deformations and hypergeometric-type systems, 117-122 [Zbl 1290.34104]
Novikov, Dmitrii P., A monodromy problem connected with \(P_6\), 123-128 [Zbl 1290.34105]
Ohyama, Yousuke, Monodromy evolving deformations and confluent Halphen’s systems, 129-136 [Zbl 1290.34106]
Sasaki, Yoshikatsu, On the gauge transformation of the sixth Painlevé equation, 137-150 [Zbl 1290.34107]
Vyugin, Ilya V., Expansions for solutions of the schlesinger equation at a singular point, 151-158 [Zbl 1290.34108]
Damianou, Pantelis A., Painlevé analysis of Lotka-Volterra equations, 161-164 [Zbl 1290.34054]
Gricuk, Evgenii; Gromak, Valerii, Painlevé test and Briot-Bouquet systems, 165-166 [Zbl 1286.34121]
Gromak, Valerii, Solutions of the Chazy system, 167-169 [Zbl 1291.34155]
Adjabi, Yasin; Kessi, Arezki, Third-order ordinary differential equations with the Painlevé test, 171-184 [Zbl 1290.34090]
Martynov, Ivan P.; Pronko, Vyacheslav A.; Andreeva, Tatsyana K., Analytic properties of solutions of a class of third-order equations with an irrational right-hand side, 185-189 [Zbl 1290.34097]
Brezhnev, Yurii V., The sixth Painlevé transcendent and uniformizable orbifolds, 193-197 [Zbl 1290.34091]
Brezhnev, Yurii V., On uniformizable representation for abelian integrals, 199-207 [Zbl 1290.34092]
Garifullin, Rustem N., Phase shift for a special solution to the Korteweg-de Vries equation in the Whitham zone, 209-212 [Zbl 1290.35224]
Golubeva, Valentina A., Fuchsian reduction of differential equations, 213-223 [Zbl 1290.34044]
Iwaki, Kohei, The Voros coefficient and the parametric Stokes phenomenon for the second Painlevé equation, 225-229 [Zbl 1290.34095]
Kazakov, Alexander Ya., Integral symmetry and the deformed hypergeometric equation, 231-235 [Zbl 1291.34150]
Kazakov, Alexander Ya.; Slavyanov, Sergey Yu., Integral symmetries for confluent Heun equations and symmetries of Painlevé equation \(P_5\), 237-239 [Zbl 1290.34096]
Korotkin, Dmitry; Zograf, Peter, From the tau function of Painlevé \(P_6\) equation to moduli spaces, 241-245 [Zbl 1291.34156]
Ohyama, Yousuke, On particular solutions of \(q\)-Painlevé equations and \(q\)-hypergeometric equations, 247-251 [Zbl 1288.39004]
Slavyanov, Sergey Yu., Derivation of Painlevé equations by antiquantization, 253-256 [Zbl 1286.34122]
Takemura, Kouichi, Integral transformation of Heun’s equation and apparent singularity, 257-261 [Zbl 1291.34151]
Tsegel’nik, Vladimir, Painlevé analysis of solutions to some nonlinear differential equations and their systems associated with models of the random-matrix type, 263-266 [Zbl 1291.34158]
Xenitidis, Pavlos, Reductions on the lattice and Painlevé equations \(P_2,P_5,P_6\), 267-270 [Zbl 1290.39007]


34-06 Proceedings, conferences, collections, etc. pertaining to ordinary differential equations
34M55 Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies
34M35 Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms
33E17 Painlevé-type functions
00B25 Proceedings of conferences of miscellaneous specific interest
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