Overview

r Presents the tools for studying local bifurcations of limit cycles in families of planar vector fields. The text provides a systematic introduction to such methods as division of an analytic family of functions in its ideal of coefficients and asymptotic expansion of non-differentiable return maps and desingularisation. The exposision moves from classical analytic geometric methods to regular limit periodic sets to more recent tools for singular limit sets.

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9783764359003

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Reviews

A well-balanced exposition that can be recommended to all those who want to gain a thorough understanding and proficiency in recently developed methods. The book, reflecting the state of the art, can also be used for teaching special courses. <p>--Mathematical Reviews

A well-balanced exposition that can be recommended to all those who want to gain a thorough understanding and proficiency in recently developed methods. The book, reflecting the state of the art, can also be used for teaching special courses. --Mathematical Reviews

A well-balanced exposition that can be recommended to all those who want to gain a thorough understanding and proficiency in recently developed methods. The book, reflecting the state of the art, can also be used for teaching special courses. --Mathematical Reviews

Author Information

Robert Roussarie was Professor of Mathematics at the University of Burgundy, France.       

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