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Path following in combination with boundary value problem solvers has emerged as a continuing and strong influence in the development of dynamical systems theory and its application. It is widely acknowledged that the software package AUTO - developed by Eusebius J. Doedel about thirty years ago and further expanded and developed ever since - plays a central role in the brief history of numerical continuation. This book has been compiled on the occasion of Sebius Doedel's 60th birthday. Bringing together for the first time a large amount of material in a single, accessible source, it is hoped that the book will become the natural entry point for researchers in diverse disciplines who wish to learn what numerical continuation techniques can achieve. The book opens with a foreword by Herbert B. Keller and lecture notes by Sebius Doedel himself that introduce the basic concepts of numerical bifurcation analysis. The other chapters by leading experts discuss continuation for various types of systems and objects and showcase examples of how numerical bifurcation analysis can be used in concrete applications. Topics that are treated include: interactive continuation tools, higher-dimensional continuation, the computation of invariant manifolds, and continuation techniques for slow-fast systems, for symmetric Hamiltonian systems, for spatially extended systems and for systems with delay. Three chapters review physical applications: the dynamics of a SQUID, global bifurcations in laser systems, and dynamics and bifurcations in electronic circuits.

Continuation methods. --- Boundary value problems --- Differentiable dynamical systems. --- Numerical analysis. --- Bifurcation theory. --- Computer programs. --- Differential equations, Nonlinear --- Stability --- Mathematical analysis --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Continuation (Mathematics) --- Continuation techniques --- Differential equations, Partial --- Numerical solutions --- Complex analysis --- Numerical analysis --- Mathematics. --- Engineering mathematics. --- Engineering. --- Complex Systems. --- Dynamical Systems and Ergodic Theory. --- Applied and Technical Physics. --- Applications of Mathematics. --- Mathematical and Computational Engineering. --- Engineering, general. --- Construction --- Industrial arts --- Technology --- Engineering --- Engineering analysis --- Math --- Science --- Mathematics --- Statistical physics. --- Dynamical systems. --- Dynamics. --- Ergodic theory. --- Physics. --- Applied mathematics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Mathematical statistics --- Statistical methods

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Mathematics --- Physics --- Engineering sciences. Technology --- toegepaste wetenschappen --- analyse (wiskunde) --- toegepaste wiskunde --- ingenieurswetenschappen --- fysica

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Nonlinear theories --- Congresses --- Lasers --- Dynamics --- Nonlinear optics --- 535.374 <063> --- 535.374 <063> Amplification of radiation by stimulated emission--Congressen --- Amplification of radiation by stimulated emission--Congressen

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A study of German banking law and practice. The articles are designed to cover the subject and take a systematic approach. They are written by experts from authorities, banks and universities. The idea for the book was born in a conference on German and Chinese banking law.

347.734 <43> --- -346.0820943 --- Ha1.gdeu --- Bankrecht. Bankwezen--Duitsland voor 1945 en na 1989 --- 347.734 <43> Bankrecht. Bankwezen--Duitsland voor 1945 en na 1989 --- Banking law --- Banks and banking --- Financial services industry --- 346.0820943 --- Services, Financial --- Service industries --- Law and legislation --- E-books