Chaos: From Simple Models to Complex Systems (Series on Advances in Statistical Mechanics)


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Ask Seller a Question. Publisher: World Scientific Publishing Company. Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The first part, intended for undergraduate and graduate students, is a gentle and self-contained introduction to the concepts and main tools for the characterization of deterministic chaotic systems, with emphasis to statistical approaches. The second part can be used as a reference by researchers as it focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology.

The book is novel in devoting attention to a few topics often overlooked in introductory textbooks and which are usually found only in advanced surveys such as: information and algorithmic complexity theory applied to chaos and generalization of Lyapunov exponents to account for spatiotemporal and non-infinitesimal perturbations. The selection of topics, numerous illustrations, exercises and proposals for computer experiments make the book ideal for both introductory and advanced courses. This book is recommended for a first approach to chaos: the exposition is very clear and all notions are introduced relying on intuition and explained through examples and applications.

Visit Seller's Storefront. Please contact me if you are not satisfied with your order in any manner. Origami from Around the World. Famous Aircraft in Origami: 18 Realistic Models. Bifurcation From Simple Eigenvalues. Bringing Origami to Life. Complex numbers from A to--Z. Complex Numbers from A to From Holomorphic Functions to Complex Manifolds. Recommend Documents. From Simple Input to Complex Grammar cover title: author: publisher: isbn10 asin: print isbn ebook isbn language: subject publication date: lcc: ddc Origami from Angelfish to Zen Semantic Ambiguity V.

Models of Multistability VI. Brain Processes VII. Symmetry Breaking in Nature. Dissipative Structures. Criteria of Self-Organization.


  1. ISBN 13: 9789814277655.
  2. 2. Complex Systems | Physics in a New Era: An Overview | The National Academies Press.
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  4. Introduction.

Kadke, James B. A Quantitative Description of Nature 3. Transducers 4. Probability Densities 5. Information 6. Maximum Entropy Principles 7. Adaptive Modeling of Natural Laws 8. Self-Organization and Formal Neurons 9. Modeling by Non-Parametric Regression Linear Modeling and Invariances Modeling and Forecasting of Chaotic Processes Modeling by Neural Networks Fundamentals of Intelligent Control Self-Control and Biological Evolution.

Unidirectional Solidification and the Mullins-Sekerka Instability 3. Viscous Fingering in a Hele-Shaw Cell. Manevitch, Leonid I. Introduction: Some General Principles of Asymptotology 2. Discrete Systems 3. Continous Systems 4. Discrete-Continous Systems. Useful Notions of Probability Theory 2. Large Deviations 4. Power Law Distributions 5. Fractals and Multifractals 6.

Rank-Ordering Statistics and Heavy Trails 7. Long-Range Correlations 9. Transitions, Bifurcations and Precursors The Renormalization Group The Percolation Model Rupture Models Mechanisms for Power Laws Self-Organized Criticality Introduction to the Physics of Random Systems Randomness and Long-Range Laplacian Interactions. Topics in One-Dimensional Scattering Theory 3. Inverse Scattering in One Dimension 4. The Korteweg-de Vries Equation 5. Applications I 7. Applications II 8. Perturbation Theory. Einleitung 2. Struktur und Entropie 3. Nichtlineare mechanische und elektrische Systeme 5.

Dissipative Strukturen hydrodynamischer Systeme 6. Nichtlineare Reaktionen in homgenen chemischen Systemen 7. Dissipative Strukturen inhomogener chemischer Systeme 8. Nichtlineare Thermodynamik irreversibler Prozesse und Evolutionskriterien 9. Introduction Part I.

Mathematics Part II. Biology Part III. Physics Part V. Ecology Part VI. Economics Part VII. Experimantation and Simulation. Models 3. Thermodynamics 4. Networks 5. Networks for Transport Across Membranes 6. Feedback Networks 7. Bau der Zelle Prokaryonten, Eukaryonten 2. Intra- und Intermolekulare Wechselwirkungen 5. Strahlenbiophysik 7. Tracer-Methoden in der Biologie 8.

Energetische und statistische Beziehungen 9. Enzyme als Biokatalysatoren Membranen Sensorische Transduktionsprozesse Photobiophysik Biomechanik Elektrozezeption und Ortung im elektrischen Feld Geo-Biopysik: Schwerefeld, Magnetfeld und Organismen Kybernetik Schneider, Toni Introduction II.

Mathematical Aspects III. Einleitung I. Nichtlineare Gleichstromnetze II. Nichtlineare Wechselstromnetze III. Analytische Darstellung nichtlinearer Kennlinien IV. Differentialgleichungen der nichtlinearen Elektrotechnik und ihrer Behandlung V. Nichtlineare Einrichtungen. State-Space Models 3. Harmonic Analysis 4. Piecewise-Linear Models 5. Stability 6. Control System Performance 7.

Discrete-time Systems. Emergency of the Hypercycle B. The Abstract Hypercycle C. The Realistic Hypercycle. Introduction and General Outline 2. Waves and First Order Equations 3. Specific Problems 4. Burger's Equation 5. Hyperbolic Systems 6. Gas Dynamics 7.

Genuine Origami: 43 Mathematically-Based Models, From Simple to Complex

The Wave Equation 8. Shock Dynamics 9. The Propagation of Weak Shocks Wave Hierarchies Linear Dispersive Waves Wave Patterns Water Waves Nonlinear Dispersion and the Variational Method Application of the Nonlinear Theory Exact Solutions; Interacting Solitary Waves. Statistical Mechanics of the Sine-Gordon System 7. Difference Equations: The Toda Lattice. Chapter 1. Solitary Waves and Solitons 2.

Scattering Transforms 3. Kinks and the Sine-Gordon Equation 8. Amplitude Equations in Unstable Systems Numerical Studies of Solitons. Ferienkurs 83 - Nichtlineare Dynamik in kondensischer Materie Vom Februar bis Populationsdynamik und chemische Reaktionen IV. Dissipative kontinuierliche Systeme XIV. Gestaltbildung beim Kristallwachstum XV. Zweidimensionale diskrete Abbildungen XXI.

Turbulenz XXIV. Intermittenz XXV. Einfluss von Fluktuationen XXX. Ein einfaches dynamisches Investitionsverflechtungsmodell mit nichtlinearen Eigenschaften.

Genuine Origami: 43 Mathematically-Based Models, From Simple to Complex - PDF Free Download

Marek, M. Introduction Chapter 2. Completely Continuous Vector Fields Chapter 3. Principles of Relatedness Chapter 4. Fields with Noncompact Operators Chapter 5. Solvability of Nonlinear Equations Chapter 6. Equations With Many Solutions Chapter 7. Constructions of Solutions Chapter 8. Small Perturbations of Nonlinear Equations. Oscillations in Chemical Reactions Gurel, O. Gurel, D. Part I.

Fluids Part IV. Astrophysics and General Relativity Part V. High Energy Physics. Opening Address Keynote Address Part 1. Hardware Systems Part 2. Performance and Capabilities of Computer Systems Part 3. Algorithms and Applications. Campbell, Laurence J. Channell, Paul J. Section 1: Boundaries of demarcation Section 2: Boundaries of reaction and transformation Section 3: Mathematical structure and computational methods. Experiments and Simple Models 2.

Piecewise Linear Maps and Deterministic Chaos 3. Universal Behavior of Quadratic Maps 4. The Intermittency Route to Chaos 5. Strange Attractors in dissipative Dynamical Systems 6. Regular and Irregular Motion in Conservative Systems 7. Chaos in Quantum Systems Outlook. Stewart, H. Solitons Trullinger, S.

Zakharov, V. Pokrovsky, V. Solitons in Biology 2. Experimental Observation of a Davydov-Like Soliton 3. Thermodynamics of Two-Dimensional Soliton-Systems 4. Spin Dynamics of Heisenberg Chains 5. Soliton Model of Polyacetylene 7. Solitons in superfluid 3He 9.

Bibliography

Solitons in Josephson Transmission Lines Soliton Stability Dynamical and Topological Solitons in Ferromagnets and Antiferromagnets Solitons and Surface Diffusion Integrable Magnetic Models Nonlinear Effects in Low-Dimensional Magnets. Burger, Maria Halogen-Based Oscillators in a Flow Reactor 9. Periodically Perturbed Chemical Systems The Structure and Variety of Chemical Waves Propagating Reaction-Diffusion Fronts Gas Evolution Oscillators Diffusion und Drift 8. Ambipolare Diffusion, Diffusionsmoden 9. Messung von Beweglichkeit und Diffusionskoeffizient in Schwarmexperiemten Driftmessungen mit positiv geladenen Ionen Driftmessungen an negativ geladenen Ionen Rekombination Ionisierungsprozesse im Gasraum Ionisierungskoeffizienten Literaturverzeichnis Ostrowsky, Nicole Part One: From Oder Arnold, V.

I Kozlov, V. Neishtadt, A. Basic Principles of Classical Mechanics Chapter 2. The n-body Problem Chapter 3. Integrable Systems and Integration Methods Chapter 5. Perturbation theory for Integrable Systems Chapter 6. Nonintegrable Systems Chapter 7. Theory of Small Oscillations.


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  • Foreword Chapter 1. Critical Points of Functions Chapter 2. Monodromy Groups of Critical Points Chapter 3. Basic Properties of Maps Chapter 4. The Global Theory of Singularities. Novikov, S. Various Aspects of Memory 2. Pattern Mathematics 3. Classical Learing Systems 4. A New Approach to Adaptive Filters 5. Self-Organizing Feature Maps 6. Optimal Associative Mappings 7. Pattern Recognition 8. More about Biological Memory 9.

    Notes on Neural Computing Optical Associative Memories. How to Identify Chaotic Vibrations 3. A Survey of Systems with Chaotic Vibrations 4. Experimental Methods in Chaotic Vibrations 5. Criteria for Chaotic Vibrations 6. Numerical Experiments in Chaos Appendix C. Chaotic Toys. Physik - die Grundlage der objektiven Naturwissenschaft? Grundprozesse des Lebens IV.

    Vererbung, Information und Evolution V. Biologische Strukturbildung VI. Einheit der Natur, Mehrdeutigkeit der Welt X. Wissenschaft, Religion und kultureller Pluralismus. The Natural Numbers 3. Primes 4.

    Dynamics of Extreme Events

    The Prime Distribution 5. Fractions: Continued, Egyptian and Farey 6. Linear Congruences 7. Diophantine Equations 8. The Theorems of Fermat, Wilson and Euler 9. The Divisor Functions The Prime Divisor Functions Certified Signatures Primitive Roots Knapsack Encryption Quadratic Residues Fast Transformations and Kronecker Products Quadratic Congruences Pseudoprimes, Poker and Remote Coin Tossing Generating Functions and Partitions Cyclotomic Polynomials Linear Systems and Polynomials Polynomial Theory Galois Fields Spectral Properties of Galois Sequences Random Number Generators Waveforms and Radiation Patterns

    Chaos: From Simple Models to Complex Systems (Series on Advances in Statistical Mechanics) Chaos: From Simple Models to Complex Systems (Series on Advances in Statistical Mechanics)
    Chaos: From Simple Models to Complex Systems (Series on Advances in Statistical Mechanics) Chaos: From Simple Models to Complex Systems (Series on Advances in Statistical Mechanics)
    Chaos: From Simple Models to Complex Systems (Series on Advances in Statistical Mechanics) Chaos: From Simple Models to Complex Systems (Series on Advances in Statistical Mechanics)
    Chaos: From Simple Models to Complex Systems (Series on Advances in Statistical Mechanics) Chaos: From Simple Models to Complex Systems (Series on Advances in Statistical Mechanics)
    Chaos: From Simple Models to Complex Systems (Series on Advances in Statistical Mechanics) Chaos: From Simple Models to Complex Systems (Series on Advances in Statistical Mechanics)

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