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Multiple Time Scale Dynamics
This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a wide variety of different mathematical techniques into a more unified framework. The book is highly illustrated with many examples and exercises and an extensive bibliography. The target audience of this book are senior undergraduates, graduate students as well as researchers interested in using the multiple time scale dynamics theory in nonlinear science, either from a theoretical or a mathematical modeling perspective.
Bifurcation, Symmetry and Patterns
The latest developments on both the theory and applications of bifurcations with symmetry. The text includes recent experimental work as well as new approaches to and applications of the theory to other sciences. It shows the range of dissemination of the work of Martin Golubitsky and Ian Stewart and its influence in modern mathematics at the same time as it contains work of young mathematicians in new directions. The range of topics includes mathematical biology, pattern formation, ergodic theory, normal forms, one-dimensional dynamics and symmetric dynamics.
Numerical Continuation and Bifurcation in Nonlinear PDEs
This book provides a hands-on approach to numerical continuation and bifurcation for nonlinear PDEs in 1D, 2D, and 3D. Partial differential equations (PDEs) are the main tool to describe spatially and temporally extended systems in nature. PDEs usually come with parameters, and the study of the parameter dependence of their solutions is an important task. Letting one parameter vary typically yields a branch of solutions, and at special parameter values, new branches may bifurcate. After a concise review of some analytical background and numerical methods, the author explains the free MATLAB package pde2path by using a large variety of examples with demo codes that can be easily adapted to the reader's given problem. Numerical Continuation and Bifurcation in Nonlinear PDEs will appeal to applied mathematicians and scientists from physics, chemistry, biology, and economics interested in the numerical solution of nonlinear PDEs, particularly the parameter dependence of solutions. It can be used as a supplemental text in courses on nonlinear PDEs and modeling and bifurcation.
Nonlinear PDEs
This is an introductory textbook about nonlinear dynamics of PDEs, with a focus on problems over unbounded domains and modulation equations. The presentation is example-oriented, and new mathematical tools are developed step by step, giving insight into some important classes of nonlinear PDEs and nonlinear dynamics phenomena which may occur in PDEs. The book consists of four parts. Parts I and II are introductions to finite- and infinite-dimensional dynamics defined by ODEs and by PDEs over bounded domains, respectively, including the basics of bifurcation and attractor theory. Part III introduces PDEs on the real line, including the Korteweg-de Vries equation, the Nonlinear Schrödinger eq...
XVIth International Congress on Mathematical Physics
The International Congress on Mathematical Physics is the flagship conference in this exciting field. Convening every three years, it gives a survey on the progress achieved in all branches of mathematical physics. It also provides a superb platform to discuss challenges and new ideas. The present volume collects material from the XVIth ICMP which was held in Prague, August 2009, and features most of the plenary lectures and invited lectures in topical sessions as well as information on other parts of the congress program. This volume provides a broad coverage of the field of mathematical physics, from dominantly mathematical subjects to particle physics, condensed matter, and application of mathematical physics methods in various areas such as astrophysics and ecology, amongst others.
European Silent Films on Video
This book is a critical encyclopedia of silent European films currently available on DVD, laser disc, and VHS. It provides concise and accurate summaries of the films, evaluates the quality of the prints, discusses the changing reputations of both films and filmmakers, and considers how the techniques developed during the silent period continue to influence filmmaking today. The book cites contemporary and recent criticism of the films and includes an extensive bibliography as well as a list of films by director. Numerous photos are also included.
Törnführer Kroatien und Slowenien
Im Meer der tausend Inseln Kristallklares Meer, wilde Küsten, idyllische Häfen und moderne Marinas: Die Adriaküste von Kroatien und Slowenien ist aus gutem Grund das Lieblingsrevier vieler Segler und Motorbootfahrer. Kein Wunder, dass die schöne Urlaubsgegend auch unter dem Namen »Das Land der 888 Häfen und Buchten« bekannt ist! Dieter Berner weiß, welche davon es sich anzusteuern lohnt. Er begann vor vielen Jahren die Gegend mit dem Schlauchboot zu erkunden und ist seit 1991 mit dem eigenen Segelboot unterwegs. In seinem Törnführer Kroatien und Slowenien. Koper bis Split stellt er Ihnen Reviere zum Entdecken und Genießen vor: •Elf Törnvorschläge für Motorboote und Segelboote...
