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Bifurcation of Extremals in Optimal Control par Kogan, J., Publication : New York : Springer 2008 . 1 online resource. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des sciences de l'ingénieur (1),

Bifurcation Theory and Applications par Salvadori,, L., Publication : New York : Springer 2008 . 1 online resource. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Bifurcations of planar vector fields : nilpotent singularities and abelian integrals par Dumortier, Freddy. Publication : [S.l.] Springer 1991 . 226 p. , The book reports on recent work by the authors on the bifurcation structure of singular points of planar vector fields whose linear parts are nilpotent. The bifurcation diagrams of the most important codimension-three cases are studied in detail. The results presented reach the limits of what is currently known on the bifurcation theory of planar vector fields. While the treatment is geometric, special analytical tools using abelian integrals are needed, and are explicitly developed. The rescaling and normalization methods are improved for application here. The reader is assumed to be familiar with the elements of Bifurcation and Dynamical Systems Theory. The book is addressed to researchers and graduate students working in Ordinary Differential Equations and Dynamical Systems, as well as anyone modelling complex multiparametric phenomena. 24 cm. Date : 1991 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Dynamics and bifurcations / par Hale,, Jack K. Publication : [New york] : Springer-Verlag, 1991 . 568 p. ; , In recent years, due primarily to the proliferation of computers, dynamical systems has again returned to its roots in applications. It is the aim of this book to provide undergraduate and beginning graduate students in mathematics or science and engineering with a modest foundation of knowledge. Equations in dimensions one and two constitute the majority of the text, and in particular it is demonstrated that the basic notion of stability and bifurcations of vector fields are easily explained for scalar autonomous equations. Further, the authors investigate the dynamics of planar autonomous equations where new dynamical behavior, such as periodic and homoclinic orbits appears. 24 cm. Date : 1991 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Elements of applied bifurcation theory par Kuznetsov, Yuri A. Publication : New York Springer 2004 . xxii, 631 p. , Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis. 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Bifurcation of maps and applications / par Iooss, Gérard. Publication : . 1 online resource (x, 232 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444853042,  http://www.sciencedirect.com/science/publication?issn=03040208&volume=36,

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