Resurgence and highest level's connection-to-Stokes formulæ for some linear meromorphic differential systems

DOI10.5802/afst.1548zbMath1384.34092OpenAlexW2723522212MaRDI QIDQ1681885

Pascal Remy

Publication date: 24 November 2017

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/afst.1548

zbMATH Keywords

singularitiesresurgencemultisummabilityStokes phenomenonStokes multiplierslinear differential systemconnection constants

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) 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) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (2)

Multi-resurgence and connection-to-Stokes formulæ for some linear meromorphic differential systems ⋮ Singular perturbation of nonlinear systems with regular singularity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Divergent series, summability and resurgence II. Simple and multiple summability
• Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations
• Resurgence, Stokes phenomenon and alien derivatives for level-one linear differential systems
• Galoisian obstructions to integrability of Hamiltonian systems. II.
• Multisummability and Stokes multipliers of linear meromorphic differential equations
• Introduction aux travaux de J. Ecalle. (Introduction to the papers of J. Ecalle)
• Transfer of connection problems for meromorphic differential equations of rank \(r\geq 2\) and representations of solutions
• Multisummable functions
• The Stokes phenomenon in exact asymptotics
• Stokes phenomenon, multisummability and differential Galois groups
• Formal power series and linear systems of meromorphic ordinary differential equations
• Stokes-Ramis matrices and connection constants for linear differential systems with a single level
• Equations différentielles à points singuliers réguliers
• Théorèmes d’indices Gevrey pour les équations différentielles ordinaires
• Integrability of Hamiltonian systems and differential Galois groups of higher variational equations
• On the Reduction of Connection Problems for Differential Equations with an Irregular Singular Point to Ones with Only Regular Singularities. II
• Calculating connection coefficients for Meromorphic differential equations
• On the Reduction of Connection Problems for Differential Equations with an Irregular Singular Point to Ones with Only Regular Singularities, I
• Summation of Formal Power Series Through Iterated Laplace Integrals.
• Rank reduction, normal forms and Stokes matrices

This page was built for publication: Resurgence and highest level's connection-to-Stokes formulæ for some linear meromorphic differential systems