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This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed points, invariant tori in quasi-periodically forced systems, invariant tori in Hamiltonian systems and normally hyperbolic invariant manifolds. This book provides algorithms of computation and some practical details of their implementation. The methodology is illustrated with 12 detailed examples, many of them well known in the literature of numerical computation in dynamical systems. A public version of the software used for some of the examples is available online. The book is aimed at mathematicians, scientists and engineers interested in the theory and applications of computational dynamical systems.
This volume is based on lectures delivered at the 2016 AMS Short Course “Rigorous Numerics in Dynamics”, held January 4–5, 2016, in Seattle, Washington. Nonlinear dynamics shapes the world around us, from the harmonious movements of celestial bodies, via the swirling motions in fluid flows, to the complicated biochemistry in the living cell. Mathematically these phenomena are modeled by nonlinear dynamical systems, in the form of ODEs, PDEs and delay equations. The presence of nonlinearities complicates the analysis, and the difficulties are even greater for PDEs and delay equations, which are naturally defined on infinite dimensional function spaces. With the availability of powerful ...
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.
The International Conference Zaragoza-Pau on Mathematics and its Applications was organized by the Departamento de Matem.tica Aplicada, the Departamento de M.todos Estad.sticos and the Departamento de Matem.ticas, all of them from the Universidad de Zaragoza (Spain), and the Laboratoire de Math.matiques et de leurs Applications, from the Universit. de Pau et des Pays de l’Adour (France). This conference has been held every two years since 1989. The aim of this conference is to present recent advances in Applied Mathematics, Statistics and Pure Mathematics, putting special emphasis on subjects linked to petroleum engineering and environmental problems. The Sixteenth Conference took place in...
El llibre recull les aportacions dels grups de recerca de la xarxa LLERA sobre l'Educació Lingüística i Literària en Entorns Plurilingües. Aquesta xarxa reuneix setze equips de recerca procedents de set universitats catalanes que han investigat d ́una manera continuada sobre l ́ensenyament i l ́aprenentatge de les llengües i de la literatura a Catalunya, des de visions compartides i complementàries.
In this challenging time for Spain and the world at large, we want to remind readers of the fundamental economic dynamics of the country in order to better assess its business environment. This publication is unique in that it provides a holistic and multisectoral view of development at a point of much political uncertainty, all amidst notable efforts to become a leader of Industry 4.0 in the European bloc. With information straight from the mouths of leaders and decision makers across the economy, it is a comprehensive guide to investment throughout the diverse and industrially-rich regions of Spain. The Business Year's country-specific publications, sometimes featuring over 150 face-to-face interviews, are among the most comprehensive annual economic publications available internationally. This 179-page publication covers finance, green economy, energy, industry, IT and telecoms, transport, real estate, construction, agriculture, education, health, tourism, and retail.
Aquest llibre presenta una radiografia de la situació de la infància i l’adolescència de la ciutat de Lleida i fa un repàs dels principals temes que afecten les seves vides. Ens dóna l’oportunitat de tenir una visió més propera del seu benestar des de l’òptica de la Convenció dels Drets de la Infància.