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Research talks;Dynamical Systems and Ordinary Differential Equations;Algebraic and Complex Geometry

Classifying regular systems of first order linear ordinary equations is a classical subject going back to Poincare and Dulac. There is a gauge group whose action can be described and an integrable normal form produced. A similar problem for higher order differential equations was never addressed, perhaps because the corresponding equivalence relationship is not induced by any group action. Still one can develop a reasonable classification theory, largely parallel to the classical theory. This is a joint work with Shira Tanny from the Weizmann Institiute, see http://arxiv.org/abs/1412.7830. Classifying regular systems of first order linear ordinary equations is a classical subject going back to Poincare and Dulac. There is a gauge group whose action can be described and an integrable normal form produced. A similar problem for higher order differential equations was never addressed, perhaps because the corresponding equivalence relationship is not induced by any group action. Still one can develop a reasonable classification ...

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Documents 34C20 | enregistrements trouvés : 25

Local Weyl equivalence of Fuchsian equations Yakovenko, Sergei | CIRM H Nouveau

Symplectic singularities and geometry of gauge fieldsPapers written on the occasion of the banach center symposium spring Budzynski, Robert ; Janeczko, Stanislaw ; Kondracki, Witold ; Künzle, Alfred | IMPAN 1997 Nouveau

Computation and theory in ordinary differential equation Daniel, James W. ; Moore, Ramon E. | Freeman W.H. And Co. 1970 Nouveau

C. G. J. Jacobi's Gesammelte werke. Vol. 4 Jacobi's, C. G. J. ; Weierstrass, K. | Verlag Von G. Reimer 1886 Nouveau

Lineare differentialtransformationen. Tome 2 :ordnung Boruvka, Otakar | Veb Deutscher Verlag Der Wissenschaften 1967 Nouveau

Ordinary differentiel equations Pontryagin, L. S. ; Counts, Walter B. ; Kacinskas, Leonas | Addison-Wesley Publishing Company 1962 Nouveau

Differential equations from the algebraic standpoint Ritt, Joseph Fels | American Mathematical Society 1932 Nouveau

Local theory of nonlinear analytic ordinary differential equations Bibikov, Yuri N. | Springer-Verlag 1979 Nouveau

Finiteness theorems for limit cycles Il'yashenko, Yu. S. ; Mcfaden, H. H. | American Mathematical Society 1991 Nouveau

Nonlinear dynamical systems and carleman linearization Kowalski, Krzysztof ; Steeb, Willi-Hans | World Scientific 1991 Nouveau

Heun's differential equations Ronveaux, A. | Oxford University 1995 Nouveau

Qualitative theory of control systems Davydov, A. A. | American Mathematical Society 1994 Nouveau

Concerning the Hilbert 16th problem Ilyashenko, Yu. ; Yakovenko, S. | American Mathematical Society 1995 Nouveau

Quasi-periodic motions in families of dynamical systemsorder amidst chaos Broer, Hendrik W. ; Huitema, George B. ; Sevryuk , Mikhail B. | Springer 1996 Nouveau

Smooth invariant manifolds and normal forms Bronstein, I. U. ; Kopanskii, A. Ya. | World Scientific Publishing 1994 Nouveau

Sovremennye problemy matematiki. Fundamental'nye napravleniya. Tom 1 [Les problèmes actuels des mathématiques. les directions fondamentales] :dinamicheskie sistemy. 1 [les systèmes dynamiques. 1] Gamkrelidze, R. | VINITI 1985 Nouveau

Ordinary differential equations Hartman, Philip | SIAM 2002 Nouveau

Nonlinear dynamics and evolution equations Brunner, Hermann ; Zhao, Xiao-Qiang ; Zou, Xingfu | American Mathematical Society 2006 Nouveau

Systèmes intégrales semi-classiques :du local au global Phat, Vu Ngoc | Société Mathématique de France 2006 Nouveau

Soliton equations and their algebro-geometric solutions. Vol. II:(1+1)-dimensional discrete models Gesztesy, Fritz ; Holden, Helge ; Michor, Johanna ; Teschl, Gerald | Cambridge University Press 2008 Nouveau

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Symplectic singularities and geometry of gauge fields
Papers written on the occasion of the banach center symposium
spring Budzynski, Robert ; Janeczko, Stanislaw ; Kondracki, Witold ; Künzle, Alfred | IMPAN 1997 Nouveau

Lineare differentialtransformationen. Tome 2 :
ordnung Boruvka, Otakar | Veb Deutscher Verlag Der Wissenschaften 1967 Nouveau

Quasi-periodic motions in families of dynamical systems
order amidst chaos Broer, Hendrik W. ; Huitema, George B. ; Sevryuk , Mikhail B. | Springer 1996 Nouveau

Sovremennye problemy matematiki. Fundamental'nye napravleniya. Tom 1 [Les problèmes actuels des mathématiques. les directions fondamentales] :
dinamicheskie sistemy. 1 [les systèmes dynamiques. 1] Gamkrelidze, R. | VINITI 1985 Nouveau

Systèmes intégrales semi-classiques :
du local au global Phat, Vu Ngoc | Société Mathématique de France 2006 Nouveau

Soliton equations and their algebro-geometric solutions. Vol. II:
(1+1)-dimensional discrete models Gesztesy, Fritz ; Holden, Helge ; Michor, Johanna ; Teschl, Gerald | Cambridge University Press 2008 Nouveau