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Asymptotic expansions for ordinary differential equations
TLDR
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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Exponential asymptotic expansions and approximations of the unstable and stable manifolds of singularly perturbed systems with the Henon map as an example.
TL;DR: The construction of the exponential asymptotic expansions of the unstable and stable manifolds of the area-preserving Henon map enables one to capture the exponentially small effects that result from the Stokes phenomenon in the analytic theory of equations with irregular singular points.
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A qualitative model for the dynamics of cognitive processes
TL;DR: A qualitative model for adaptive processes and for Piaget's theory of cognitive development is presented in this paper, which describes the threshold period between stages of development and uses Thom's catastrophe theory as the major tool to obtain a geometric representation for a certain aspect of this theory.
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Incompressibilité des feuilles de germes de feuilletages holomorphes singuliers
David Marín,Jean-François Mattéi +1 more
TL;DR: In this paper, a germe de feuilletage holomorphe singulier non-dicritique is considered, and a notion geometrique de connexite feuilletee is introduced.
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A limiting absorption principle for Schrödinger operators with Von Neumann-Wigner type potentials
TL;DR: In this article, the main step in establishing a limiting absorption principle for von Neumann-Wigner type Schrodinger Hamiltonians of the form −Δ+csinb was taken by obtaining uniform estimates for the Weyl-Green kernels of these resolvents.
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Discrete equation on a square lattice with a nonstandard structure of generalized symmetries
TL;DR: In this article, the integrability nature of a nonstandard discrete equation on the square lattice with a non-standard symmetry structure was clarified and the hierarchies of generalized symmetries and conservation laws were constructed.