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Isomonodromic and isospectral deformations of meromorphic connections: the \(\mathfrak{sl}_2(\mathbb{C})\) case

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Publication:6623082
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DOI10.1088/1361-6544/ad7b96MaRDI QIDQ6623082

Mohamad Alameddine, Olivier Marchal

Publication date: 23 October 2024

Published in: Nonlinearity (Search for Journal in Brave)



zbMATH Keywords

Hamiltonian systemsisospectral deformationsisomonodromic deformationsmeromorphic connections


Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65)








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