Resurgent functions and nonlinear systems of differential and difference equations

DOI10.1016/j.aim.2022.108533zbMath1503.34162arXiv1610.05881OpenAlexW2539214352WikidataQ113880930 ScholiaQ113880930MaRDI QIDQ2161305

Shingo Kamimoto

Publication date: 4 August 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.05881

zbMATH Keywords

Borel transformconvolution productresurgent function

Mathematics Subject Classification ID

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)

Related Items (1)

Resurgent transseries, mould calculus and Connes-Kreimer Hopf algebra

Cites Work

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• Resurgence of formal series solutions of nonlinear differential and difference equations
• The Hopf algebras of decorated rooted trees. II
• Divergent series, summability and resurgence I. Monodromy and resurgence
• The Hopf algebras of decorated rooted trees. I
• On Borel summation and Stokes phenomena for rank-\(1\) nonlinear systems of ordinary differential equations
• Resurgence relations for classes of differential and difference equations
• Ecalle's arborification-coarborification transforms and Connes-Kreimer Hopf algebra
• Nonlinear analysis with resurgent functions
• Mould expansions for the saddle-node and resurgence monomials
• Explicit linearization of one-dimensional germs through tree-expansions
• Iterated convolutions and endless Riemann surfaces
• On the Stability under Convolution of Resurgent Functions

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