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Asymptotic expansions for ordinary differential equations
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Asymptotic expansions for ordinary differential equations as discussed by the authors, asymptotics expansions for ODEs, Asymptotically expansion for ordinary DDEs and their derivatives.Abstract:
Asymptotic expansions for ordinary differential equations , Asymptotic expansions for ordinary differential equations , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزیread more
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MonographDOI
Lectures on analytic differential equations
TL;DR: Normal forms and desingularization Singular points of planar analytic vector fields Local and global theory of linear systems Functional moduli of analytic classification of resonant germs and their applications Global properties of complex polynomial foliations Appendix as mentioned in this paper.
Journal ArticleDOI
GFUN: a Maple package for the manipulation of generating and holonomic functions in one variable
Bruno Salvy,Paul Zimmermann +1 more
TL;DR: The GFUN package is described which contains functions for manipulating sequences, linear recurrences, or differential equations and generating functions of various types and is intended both as an elementary introduction to the subject and as a reference manual for the package.
Book ChapterDOI
A Formal Classification of Bursting Mechanisms in Excitable Systems
TL;DR: In this paper, a number of different mechanisms for burst generation were identified, which are characteristic of classes of models, and qualitatively some of these mechanisms were described by way of the schematic diagrams in Fig. 1.
Book
Asymptotic enumeration methods
TL;DR: In this article, the saddle point and large singularities of analytic functions are used for graphical enumeration, including implicit functions, recurrences, and combinations of methods, which are related to our work.
Book
Differential Galois Theory and Non-Integrability of Hamiltonian Systems
TL;DR: Differential Galois theory has been studied in the context of poisson algebras as discussed by the authors, where it has been shown that it is possible to construct a non-integrability criterion for a variational equation.