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Proceedings
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ISSN: 25758403 Year: 1996 Publisher: Los Alamitos, Calif. : IEEE Computer Society Press,

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Book
Chaos
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ISBN: 9783030443054 Year: 2020 Publisher: Cham Springer International Publishing :Imprint: Springer

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Book
Attractor Dimension Estimates for Dynamical Systems: Theory and Computation
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ISBN: 9783030509873 9783030509880 9783030509897 9783030509866 Year: 2021 Publisher: Cham Springer International Publishing :Imprint: Springer

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Periodical
Proceedings
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Year: 1987 Publisher: Washington, D.C. : Los Alamitos, Calif. : IEEE Computer Society Press, IEEE Computer Society Press

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Digital
Chaos : The World of Nonperiodic Oscillations
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ISBN: 9783030443054 Year: 2020 Publisher: Cham Springer International Publishing

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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.


Digital
Attractor Dimension Estimates for Dynamical Systems: Theory and Computation : Dedicated to Gennady Leonov
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ISBN: 9783030509873 9783030509880 9783030509897 9783030509866 Year: 2021 Publisher: Cham Springer International Publishing

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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.


Book
Syntactic complexity : diachrony, acquisition, neuro-cognition, evolution
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ISBN: 9789027229991 9789027230003 Year: 2009 Volume: 85 Publisher: Amsterdam ; Philadelphia John Benjamins Publishing Company

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Power Laws
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ISBN: 9783030332358 Year: 2020 Publisher: Cham Springer International Publishing :Imprint: Springer

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Book
Performing Complexity: Building Foundations for the Practice of Complex Thinking
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ISBN: 9783030462451 Year: 2020 Publisher: Cham Springer International Publishing :Imprint: Springer

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Book
Complex Systems: Innovation and Sustainability in the Digital Age
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ISBN: 9783030447038 Year: 2020 Publisher: Cham Springer International Publishing :Imprint: Springer

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