00000cmm a22000004a 4500 UP-99796217611212275 Buklod 20230215085534.0 m go j cr |nu|||auu|a 101029s2011 xxu u | eng d 97814419687-8 (eBook) (iLib)UPD-00215704030 DLC DML eng DMLUC QA 1 A647 v.172eb Broer, Henk Dynamical systems and chaos [electronic resource] by Henk Broer, Floris Takens. 1st ed. New York Springer c2011 1 online resource (xvi, 313 p.) ill. Applied Mathematical Sciences Examples and definitions of dynamical phenomena -- Qualitative properties and predictability of evolutions -- Persistence of dynamical properties -- Global structure of dynamical systems -- On KAM Theory -- Reconstruction and time series analysis. IP-based subscription, access limited to within on campus computer network. Access via Electronic Resources of the UPD University Library Website. Over the last four decades there has been extensive development in the theory of dynamical systems. This book starts from the phenomenological point of view reviewing examples. Hence the authors discuss oscillators, like the pendulum in many variation including damping and periodic forcing , the Van der Pol System, the Henon and Logistic families, the Newton algorithm seen as a dynamical system and the Lorenz and Rossler system are also discussed. The phenomena concern equilibrium, periodic, multi- or quasi-periodic and chaotic dynamic dynamics as these occur in all kinds of modeling and are met both in computer simulations and in experiments. The application areas vary from celestial mechanics and economical evolutions to population dynamics and climate variability. The book is aimed at a broad audience of students and researchers. The first four chapters have been used for an undergraduate course in Dynamical Systems and material from the last two chapters and from the appendices has been used for master and PhD courses by the authors. All chapters conclude with an exercise section. One of the challenges is to help applied researchers acquire background for a better understanding of the data that computer simulation or experiment may provide them with the development of the theory. Henk Broer and Floris Takens, professors at the Institute for Mathematics and Computer Science of the University of Groningen, are leaders in the field of dynamical systems. They have published a wealth of scientific papers and books in this area and both authors are members of the Royal Netherlands Academy of Arts and Sciences (KNAW). Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink. Differentiable dynamical systems. Chaotic behavior in systems. Takens, Floris. SpringerLink (Online service). Electronic Resource Available for University of the Philippines Diliman via SpringerLink. Click here to access http://link.springer.com/book/10.1007/978-1-4419-6870-8 FO Monograph UPD DMLR Electronic Resource