Stability of travelling waves in a model for conical flames in two space dimensions
François Hamel, Régis Monneau, Jean-Michel Roquejoffre (2004)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Second order linear differential systems”
Stability of travelling waves in a model for conical flames in two space dimensions
Magnetic bottles for the Neumann problem : curvature effects in the case of dimension 3 (general case)
Bernard Helffer, Abderemane Morame (2004)
Annales scientifiques de l'École Normale Supérieure
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The hypothesis in Pesin theory
Charles C. Pugh (1984)
Publications Mathématiques de l'IHÉS
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On some orthogonal systems of functions
A. C. Zaanen (1940)
Compositio Mathematica
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Kelvin's solution and nuclei of strain in a solid mixture
Piero Villaggio (1983)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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An extension of the Cayley-Hamilton theorem for nonlinear time-varying systems
Tadeusz Kaczorek (2006)
International Journal of Applied Mathematics and Computer Science
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The classical Cayley-Hamilton theorem is extended to nonlinear time-varying systems with square and rectangular system matrices. It is shown that in both cases system matrices satisfy many equations with coefficients being the coefficients of characteristic polynomials of suitable square matrices. The proposed theorems are illustrated with numerical examples.
Integrability of a linear center perturbed by a fourth degree homogeneous polynomial.
Javier Chavarriga, Jaume Giné (1996)
Publicacions Matemàtiques
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In this work we study the integrability of a two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fourth degree. We give sufficient conditions for integrability in polar coordinates. Finally we establish a conjecture about the independence of the two classes of parameters which appear in the system; if this conjecture is true the integrable cases found will be the only possible ones.