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Computational complexity --- Computational complexity. --- Complexiteit.
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Statistical physics --- Computer. Automation --- complexiteit --- statistiek --- fysica
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Discrete mathematics --- Computer. Automation --- grafentheorie --- complexiteit --- systeemtheorie
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Computational complexity --- Computational complexity. --- Complexiteit. --- Informatietheorie. --- Komplexitätstheorie
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Written in the 1980s by one of the fathers of chaos theory, Otto E. Rössler, the manuscript presented in this volume eventually never got published. Almost 40 years later, it remains astonishingly at the forefront of knowledge about chaos theory and many of the examples discussed have never been published elsewhere. The manuscript has now been edited by Christophe Letellier - involved in chaos theory for almost three decades himself, as well as being active in the history of sciences - with a minimum of changes to the original text. Finally released for the benefit of specialists and non-specialists alike, this book is equally interesting from the historical and the scientific points of view: an unconventionally modern approach to chaos theory, it can be read as a classic introduction and short monograph as well as a collection of original insights into advanced topics from this field.
Statistical physics --- Computer. Automation --- complexiteit --- statistiek --- fysica
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This book provides analytical and numerical methods for the estimation of dimension characteristics (Hausdorff, Fractal, Carathéodory dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite-dimensional Euclidean spaces or on manifolds. It also discusses stability investigations using estimates based on Lyapunov functions and adapted metrics. Moreover, it introduces various types of Lyapunov dimensions of dynamical systems with respect to an invariant set, based on local, global and uniform Lyapunov exponents, and derives analytical formulas for the Lyapunov dimension of the attractors of the Hénon and Lorenz systems. Lastly, the book presents estimates of the topological entropy for general dynamical systems in metric spaces and estimates of the topological dimension for orbit closures of almost periodic solutions to differential equations.
Discrete mathematics --- Computer. Automation --- grafentheorie --- complexiteit --- systeemtheorie
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Grammar --- Grammar, Comparative and general --- Syntaxis. --- Complexiteit --- Syntax --- Syntax.
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Statistical science --- Statistical physics --- Computer. Automation --- complexiteit --- statistiek --- systeemtheorie --- fysica
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Statistical physics --- Computer. Automation --- complexiteit --- statistiek --- systeemtheorie --- fysica
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Engineering sciences. Technology --- Computer. Automation --- complexiteit --- ingenieurswetenschappen --- gegevensverwerking
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