|
|
Sold Out
Book Categories |
A Basic Problem 1
Dynamical Systems 5
Basics of Mechanical Systems 5
Formal Definitions 10
Maps 11
Basic Examples of Maps 12
More Advanced Examples 17
Examples of Flows 23
Topological Properties 27
Coding, Kneading 27
Topological Entropy 30
Topological, Measure, and Metric Spaces 30
Some Examples 30
General Theory of Topological Entropy 32
A Metric Version of Topological Entropy 34
Attractors 38
Hyperbolicity 45
Hyperbolic Fixed Points 46
M Stable and Unstable Manifolds 49
Conjugation 53
Resonances 58
Invariant Manifolds 60
Nonwandering Points and Axiom A Systems 63
Shadowing and Its Consequences 65
Sensitive Dependence on Initial Conditions 69
Complicated Orbits Occur in Hyperbolic Systems 69
Change of Map 70
Construction of Markov Partitions 72
Invariant Measures 79
Overview 79
Details 85
The Perron-Frobenius Operator 89
The Ergodic Theorem 93
Convergence Rates in the Ergodic Theorem 103
Mixing and Decay of Correlations 105
Physical Measures 114
Lyapunov Exponents 116
Entropy 123
The Shannon-McMillan-Breiman Theorem 125
Sinai-Bowen-Ruelle Measures 130
Dimensions 132
Statistics and Statistical Mechanics 141
The Central Limit Theorem 141
Large Deviations 147
Exponential Estimates 149
Concentration 151
The Formalism of Statistical Mechanics 153
Multifractal Measures 156
Other Probabilistic Results 163
Entrance and Recurrence Times 163
Number of Visits to a Set 172
Extremes 173
Quasi-Invariant Measures 175
Stochastic Perturbations 178
Experimental Aspects 187
Correlation Functions and Power Spectrum 188
Resonances 191
Lyapunov Exponents 196
Reconstruction 201
Measuring the Lyapunov Exponents 205
Measuring Dimensions 206
Measuring Entropy 211
Estimating the Invariant Measure 211
References 215
Index 227
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
Melvis Harbin
reviewed Concepts and Results in Chaotic Dynamics: A Short Course on December 06, 2015
Concepts and Results in Chaotic Dynamics
Storie davvero intricate, ma divertenti! Questo libriccino contiene 10 piccoli enigmi matematici, che Carroll chiama "nodi" e alcuni sono effettivamente alla portata di tutti. Ti portano a ragionare, ma sicuramente la presenza delle soluzioni e dei commenti dell'autore stesso aiutano nello svolgimento, se ci sono dubbi. Altrimenti, si legge direttamente la soluzione e via! Infatti questi nodi venivano pubblicati periodicamente da Carroll su una rivista e i lettori avevano la possibilità di risolverli e inviare la loro risposta. Dopodiché, nel numero successivo, lui scriveva la risoluzione e stilava una classifica dei migliori e dei peggiori. Inutile dire quanto sarcasmo usasse per beffarsi di chi sbagliava! In conclusione, sia che ci si lasci coinvolgere nei ragionamenti matematici, sia che si voglia semplicemente scoprire un lato dell'autore meno conosciuto, è una piccola chicca da tenere in libreria per gli appassionati di Lewis Carroll.
Login|Complaints|Blog|Games|Digital Media|Souls|Obituary|Contact Us|FAQ
CAN'T FIND WHAT YOU'RE LOOKING FOR? CLICK HERE!!! X
You must be logged in to add to WishlistX
This item is in your Wish List
X
This item is in your Collection
Concepts and Results in Chaotic Dynamics: A Short Course
X
This Item is in Your Inventory
Concepts and Results in Chaotic Dynamics: A Short Course
X
You must be logged in to review the productsX
X
X
Add Concepts and Results in Chaotic Dynamics: A Short Course, The study of dynamical systems is a well established field. This book provides a panorama of several aspects of interest to mathematicians and physicists. It collects the material of several courses at the graduate level given by the authors, avoiding det, Concepts and Results in Chaotic Dynamics: A Short Course to the inventory that you are selling on WonderClubX
X
Add Concepts and Results in Chaotic Dynamics: A Short Course, The study of dynamical systems is a well established field. This book provides a panorama of several aspects of interest to mathematicians and physicists. It collects the material of several courses at the graduate level given by the authors, avoiding det, Concepts and Results in Chaotic Dynamics: A Short Course to your collection on WonderClub |