Overview
Part of the book series: Trends in Mathematics (TM, volume 8)
Part of the book sub series: Research Perspectives CRM Barcelona (RPCRMB)
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Table of contents (34 papers)
Keywords
About this book
This volume contains extended abstracts outlining selected talks and other selected presentations given by participants throughout the "Intensive Research Program on Advances in Nonsmooth Dynamics 2016", held at the Centre de Recerca Matemàtica (CRM) in Barcelona from February 1st to April 29th, 2016. They include brief research articles reporting new results, descriptions of preliminary work or open problems, and outlines of prominent discussion sessions. The articles are all the result of direct collaborations initiated during the research program.
The topic is the theory and applications of Nonsmooth Dynamics. This includes systems involving elements of: impacting, switching, on/off control, hybrid discrete-continuous dynamics, jumps in physical properties, and many others. Applications include: electronics, climate modeling, life sciences, mechanics, ecology, and more. Numerous new results are reported concerning the dimensionality and robustness of nonsmooth models, shadowing variables, numbers of limit cycles, discontinuity-induced bifurcations and chaos, determinacy-breaking, stability criteria, and the classification of attractors and other singularities. This material offers a variety of new exciting problems to mathematicians, but also a diverse range of new tools and insights for scientists and engineers making use of mathematical modeling and analysis.
The book is intended for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active areas of research.
Editors and Affiliations
Bibliographic Information
Book Title: Extended Abstracts Spring 2016
Book Subtitle: Nonsmooth Dynamics
Editors: Alessandro Colombo, Mike Jeffrey, J. Tomàs Lázaro, Josep M. Olm
Series Title: Trends in Mathematics
DOI: https://doi.org/10.1007/978-3-319-55642-0
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Softcover ISBN: 978-3-319-55641-3Published: 27 May 2017
eBook ISBN: 978-3-319-55642-0Published: 24 May 2017
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: IX, 193
Number of Illustrations: 19 b/w illustrations, 38 illustrations in colour
Topics: Systems Theory, Control, Ordinary Differential Equations, Difference and Functional Equations