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This book is part of a two volume set which presents the analysis of nonlinear phenomena as a long-standing challenge for research in basic and applied science as well as engineering. It discusses nonlinear differential and differential equations, bifurcation theory for periodic orbits and global connections. The integrability and reversibility of planar vector fields and theoretical analysis of classic physical models are sketched. This first volume concentrates on the mathematical theory and computational techniques that are essential for the study of nonlinear science, a second volume deals with real-world nonlinear phenomena in condensed matter, biology and optics.
This book presents an overview of the most recent advances in nonlinear science. It provides a unified view of nonlinear properties in many different systems and highlights many new developments. While volume 1 concentrates on mathematical theory and computational techniques and challenges, which are essential for the study of nonlinear science, this second volume deals with nonlinear excitations in several fields. These excitations can be localized and transport energy and matter in the form of breathers, solitons, kinks or quodons with very different characteristics, which are discussed in the book. They can also transport electric charge, in which case they are known as polarobreathers or...
The book contains a selection of contributions given at the 23th Congress on Differential Equations and Applications (CEDYA) / 13th Congress of Applied Mathematics (CMA) that took place at Castellon, Spain, in 2013. CEDYA is renowned as the congress of the Spanish Society of Applied Mathematics (SEMA) and constitutes the main forum and meeting point for applied mathematicians in Spain. The papers included in this book have been selected after a thorough refereeing process and provide a good summary of the recent activity developed by different groups working mainly in Spain on applications of mathematics to several fields of science and technology. The purpose is to provide a useful reference of academic and industrial researchers working in the area of numerical analysis and its applications.
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La revolta militar de 1936 i el desenllaç de la Guerra Civil van ser un cop mortal per a la incipient comunitat científica que s'havia creat a Espanya entre 1907 i 1936. La present monografia és el resultat d'un congrés internacional dedicat a «L'exili científic republicà. Un balanç històric 70 anys després», que va reunir a un selecte grup d'especialistes espanyols i americans amb la finalitat d'actualitzar les investigacions sobre l'exili republicà i analitzar el tremend impacte destructiu que la Guerra Civil i el franquisme van tenir sobre el cultiu i els conreadors de les ciències naturals i experimentals, la medicina, la farmàcia i l'enginyeria al nostre país. Al llarg de 24 capítols, aquest llibre analitza aspectes concrets i generals, publicacions, institucions i biografies. Les seves pàgines transmeten la història d'una gran frustració.
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