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Blogs about: Linear Systems

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Applied Math 20 - Unit 1 Systems of Equations

tintallie wrote 1 year ago: The first unit for Applied Math 20 is Systems of Linear Equations and notes and examples template ca … more →

Tags: Applied Math 20, M20A

Lecture 12 (May 29, 2008)

Sergei Yakovenko wrote 1 year ago: Logarithmic singularities De Rham division lemma (and its generalization) Definition of a logarithmi … more →

Tags: Analytic ODE course, Lecture, logarithmic singularities, logarithmic complex, isomonodromic deformations, Fuchsian systems, Schlesinger system

Lecture 11 (May 22, 2008)

Sergei Yakovenko wrote 1 year ago: Meromorphic flat connexions on holomorphic manifolds: Integrability, monodromy, classification Pfaff … more →

Tags: Analytic ODE course, Lecture, monodromy, gauge equivalence, regular singularities, curvature

Lecture 10 (Thu, May 1st, 2008)

Sergei Yakovenko wrote 1 year ago: Stokes phenomenon for irregular singularities of linear systems Irregular singularities: total recal … more →

Tags: Analytic ODE course, Lecture, holomorphic normal form, Divergence, Stokes phenomenon

Lecture 9 (Thu, Apr 17, 2008)

Sergei Yakovenko wrote 1 year ago: Irregular singularities of linear systems One-dimensional case: complete classification. Polynomial … more →

Tags: Analytic ODE course, Lecture, Resonances, irreducibility, irregular singularity, birkhoff normal form, Divergence

Lecture 8 (Thu, Apr 10, 2008)

Sergei Yakovenko wrote 1 year ago: Geometric and global theory of linear ordinary differential equations Global theory of linear equati … more →

Tags: Analytic ODE course, Lecture, Singularity, holomorphic vector bundles, meromorphic connexion, jet bundle

Lecture 7 (Thu, Apr 3, 2008)

Sergei Yakovenko wrote 1 year ago: Linear ordinary differential equations of order n Construction of the Weyl algebra (noncommutative … more →

Tags: Analytic ODE course, Lecture, monodromy, Singularity, holomorphic vector bundles, irreducibility, meromorphic connexion, Weyl algebra

Lecture 6 (Thu, Mar 27, 2008)

Sergei Yakovenko wrote 1 year ago: Bolibruch Impossibility Theorem Revealing an obstruction for realization of a matrix group as the mo … more →

Tags: Analytic ODE course, Lecture, monodromy, Singularity, holomorphic vector bundles, holomorphic normal form, meromorphic connexion

Lecture 1 (Feb 27, 2008)

Sergei Yakovenko wrote 1 year ago: Systems of Linear ODEs with complex time Total recall: on differential equations in the complex doma … more →

Tags: Analytic ODE course, Lecture, monodromy, Euler system, Singularity

Semester II: tentative programme

Sergei Yakovenko wrote 1 year ago: The course on Analytic and Geometric Theory of Differential Equations resumes on Wed Feb 27, 2008. N … more →

Tags: Analytic ODE course, Programme

The whole is equal to the sum of the parts ... versus ... The whole is greater than the sum of the parts1 comment

Roger Costello wrote 2 years ago: The whole is equal to the sum of the parts. The whole is greater than the sum of the parts. These ex … more →

Tags: Web, Complexity, universe, Non-linear Systems, M. Mitchell Waldrop, A whole is equal to the sum of the parts, The whole is greater than the sum of the parts, greater than the sum of the parts, Independent Actions


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