Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations

DOI10.1088/0305-4470/38/15/007zbMath1073.34098arXivmath-ph/0409005OpenAlexW3103453307MaRDI QIDQ4676298

Yoshitsugu Takei, Shunsuke Sasaki, Akira Shudo, Takahiro Kawai, Takashi Aoki

Publication date: 3 May 2005

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0409005

zbMATH Keywords

Painlevé equationBorel summationNoumi-Yamada system(bifurcation) of Stokes curves(virtual) turning points

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

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