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  • Produktbild: Dimensions and Entropies in Chaotic Systems
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Dimensions and Entropies in Chaotic Systems Quantification of Complex Behavior Proceeding of an International Workshop at the Pecos River Ranch, New Mexico, September 11–16, 1985

Aus der Reihe Springer Series in Synergetics

49,99 €

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

24.11.2011

Abbildungen

IX, 257 p.

Herausgeber

Gottfried Mayer-Kress

Verlag

Springer Berlin

Seitenzahl

257

Maße (L/B/H)

24,4/17/1,5 cm

Gewicht

475 g

Auflage

Softcover reprint of the original 1st ed. 1986

Sprache

Englisch

ISBN

978-3-642-71003-2

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

24.11.2011

Abbildungen

IX, 257 p.

Herausgeber

Gottfried Mayer-Kress

Verlag

Springer Berlin

Seitenzahl

257

Maße (L/B/H)

24,4/17/1,5 cm

Gewicht

475 g

Auflage

Softcover reprint of the original 1st ed. 1986

Sprache

Englisch

ISBN

978-3-642-71003-2

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

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  • Produktbild: Dimensions and Entropies in Chaotic Systems
  • Produktbild: Dimensions and Entropies in Chaotic Systems
  • I Introduction.- Introductory Remarks.- II General Theory, Mathematical Aspects of Dimensions, Basic Problems.- The Characterization of Fractal Measures as Interwoven Sets of Singularities: Global Universality at the Transition to Chaos.- Fractal Measures (Their Infinite Moment Sequences and Dimensions) and Multiplicative Chaos: Early Works and Open Problems.- On the Hausdorff Dimension of Graphs and Random Recursive Objects.- Chaos-Chaos Phase Transition and Dimension Fluctuation.- Hausdorff Dimensions for Sets with Broken Scaling Symmetry.- Scaling in Fat Fractals.- III Numerical and Experimental Problems in the Calculation of Dimensions and Entropies.- Lorenz Cross-Sections and Dimension of the Double Rotor Attractor.- On the Fractal Dimension of Filtered Chaotic Signals.- Efficient Algorithms for Computing Fractal Dimensions.- Using Mutual Information to Estimate Metric Entropy.- IV Computation of Lyapunov Exponents.- Intermediate Length Scale Effects in Lyapunov Exponent Estimation.- Comparison of Algorithms for Determining Lyapunov Exponents from Experimental Data.- A Measure of Chaos for Open Flows.- V Reliability, Accuracy and Data-Requirements of Different Algorithms.- An Approach to Error-Estimation in the Application of Dimension Algorithms.- Invisible Errors in Dimension Calculations: Geometric and Systematic Effects.- Methods for Estimating the Intrinsic Dimensionality of High-Dimensional Point Sets.- VI Analysing Spatio Temporal Chaos.- Characterizing Turbulent Channel Flow.- Characterization of Chaotic Instabilities in an Electron-Hole Plasma in Germanium.- Instabilities, Turbulence, and the Physics of Fixed Points.- VII Experimental Results and Applications.- Determination of Attractor Dimension and Entropy for Various Flows: An Experimentalist’sViewpoint.- Transition from Quasiperiodicity into Chaos in the Periodically Driven Conductivity of BSN Crystals.- Dimension and Entropy for Quasiperiodic and Chaotic Convection.- Experimental Study of the Attractor of a Driven Rayleigh-Bénard System.- Dimension Measurements from Cloud Radiance.- Chaos in Open Flow Systems.- Lasers and Brains: Complex Systems with Low-Dimensional Attractors.- Evidence of Chaotic Dynamics of Brain Activity During the Sleep Cycle.- Problems Associated with Dimensional Analysis of Electroencephalogram Data.- Index of Contributors.