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Operateurs hilbertiens --- Bifurcations --- Theorie spectrale --- Operateurs hilbertiens --- Bifurcations --- Theorie spectrale

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Opérateurs non linéaires --- Nonlinear operators. --- Opérateurs intégraux --- Integral operators. --- Equations integrales non-lineaires --- Valeurs propres --- Bifurcations --- Equations integrales non-lineaires --- Valeurs propres --- Bifurcations

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Suite à de divers entretiens semi-directifs, nous avons analysé de manière rétrospective et longitudinale les raisons qui poussent le citoyen, ou non, à écologiser ses pratiques de consommation. Actuellement dans une crise écologique, cette étude met également en avant des pistes de solutions nécessaires à une transition écologique citoyenne.

écologisation --- citoyen --- réchauffement --- climatique --- comportements --- freins --- motivations --- bifurcations --- motifs --- engagement --- Sciences sociales & comportementales, psychologie > Communication & médias

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Physics --- Cybernetics --- Physique --- Cybernétique --- Periodicals. --- Périodiques --- nonlinear dynamics --- self-organization --- control --- bifurcations --- quantum --- Cybernetics. --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Mechanical brains --- Control theory --- Electronics --- System theory --- Physics - General

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In 2008, November 23-28, the workshop of "Classical Problems on Planar Polynomial Vector Fields " was held in the Banff International Research Station, Canada. Called "classical problems", it was concerned with the following: (1) Problems on integrability of planar polynomial vector fields. (2) The problem of the center stated by Poincaré for real polynomial differential systems, which asks us to recognize when a planar vector field defined by polynomials of degree at most n possesses a singularity which is a center. (3) Global geometry of specific classes of planar polynomial vector fields. (4) Hilbert's 16th problem. These problems had been posed more than 110 years ago. Therefore, they are called "classical problems" in the studies of the theory of dynamical systems. The qualitative theory and stability theory of differential equations, created by Poincaré and Lyapunov at the end of the 19th century, had major developments as two branches of the theory of dynamical systems during the 20th century. As a part of the basic theory of nonlinear science, it is one of the very active areas in the new millennium. This book presents in an elementary way the recent significant developments in the qualitative theory of planar dynamical systems. The subjects are covered as follows: the studies of center and isochronous center problems, multiple Hopf bifurcations and local and global bifurcations of the equivariant planar vector fields which concern with Hilbert's 16th problem. The book is intended for graduate students, post-doctors and researchers in dynamical systems. For all engineers who are interested in the theory of dynamical systems, it is also a reasonable reference. It requires a minimum background of a one-year course on nonlinear differential equations.

Dynamics. --- Differential equations. --- 517.91 Differential equations --- Differential equations --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Center and isochronous center. --- Hilbert's 16th problem. --- Limit cycle. --- Multiple Hopf and global bifurcations. --- Planar dynamical system.