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20231017213018.0 |
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130402s2013 nyua ob 001 0 eng |
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|a 2019714089
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|a 9781626180208
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|a QA274.225
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|a MAT
|x 011000
|2 bisacsh
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|a 519.3
|2 23
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|a UAMI
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|a Deterministic and random evolution /
|c Jens Lorenz, editor.
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|a [Hauppauge], New York :
|b Nova Science Publishers, Inc.,
|c [2013]
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| 300 |
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|a 1 online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
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|a Mathematics research developments
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| 504 |
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|a Includes bibliographical references (pages 183-184) and index.
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|a Description based on print version record and CIP data provided by publisher.
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|a DETERMINISTIC AND RANDOM EVOLUTION; DETERMINISTIC AND RANDOM EVOLUTION; Library of Congress Cataloging-in-Publication Data; Contents; Preface; Chapter 1: Introduction; Chapter 2: Basic Concepts; 1. Initial Value Problems for ODEs; 2. Discrete-Time Dynamics; 3. Continuous vs. Discrete Time; 4. Random Evolution; 5. Discussion; Chapter 3: Deterministic Systems: Outline of Advanced Topics; 1. Planetary Motion: Example for Determinism; 2. Reversibility in Time; 3. Sensitive Dependence on Initial Conditions; 4. Averages; 5. Dependence on Parameters; 6. Variation on Different Time Scales.
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|a Chapter 4: Planetary Motion1. Outline; 2. The Two Body Problem: Reduction to One Body in a Central Field; 3. One Body in a Central Field; 4. The Equation for an Ellipse in Polar Coordinates; 5. The Kepler Orbit; 6. Kepler's Third Law; 7. Time Dependence; 8. Bessel Functions via a Generating Function: Integral Representation; 9. Discussion; Chapter 5: Is Time Reversible?; 1. Reversibility for the Two Body Problem; 2. Reversibility: General Definition; 3. Discussion; Chapter 6: The Bernoulli Shift and the Logistic Map; 1. The Bernoulli Shift: Definition.
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|a 2. The Bernoulli Shift: Dynamical Properties3. The Logistic Map and Its Relation to the Bernoulli Shift; 4. Average Behavior of the Logistic Map; Chapter 7: Evolution on Two Time-Scales; 1. Fast and Slow Time Scales; 2. Simple Example; 3. A Difficult Example; Chapter 8: Stability and Bifurcations; 1. Fixed Points; 2. Exponential Growth; 3. Logistic Growth; 4. The Delayed Logistic Map; 5. Parameter Dependent Evolution and Hysteresis; Chapter 9: Scripts; 1. Script for Logistic Growth; 2. Scripts for the Delayed Logistic Map; 3. Scripts for Parameter Dependent Evolution and Hysteresis.
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|a Chapter 10: Two Oscillators: Periodicity, Ergodicity, and Phase Locking1. The Circle and the Two-Torus; 2. Uncoupled Oscillators: Periodic Solutions; 3. Uncoupled Oscillators: Ergodicity; 4. Time Average Equals Space Average for a Circle Map; 5. Coupled Oscillators; Chapter 11: The Gambler's Ruin Problem; 1. Description of the Game; 2. Some Questions and Numerical Realization; 3. The Transition Matrix P; 4. Evolution of Probability Density; 5. Discussion; 6. Application; 7. Script: Evolving the Probability Density for Gambler's Ruin; Chapter 12: Gambler's Ruin: Probabilities and Expected Time.
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|a 1. Probability of Ruin2. Probability of Winning; 3. Expected Time; 4. The Matrix View: Limit of Probability Densities; Chapter 13: Stochastic Model of a Simple Growth Process; 1. Growth Models; 2. The Forward Kolmogorov Equations; 3. Solution of the Forward Kolmogorov Equations; 4. The Sum of the pj(t); 5. The Expected Value of Xt; 6. The Variance of Xt; 7. Statistics of Interevent Times; 8. Numerical Realization of Random Evolution; 9. Figures and Scripts; Chapter 14: Introduction to Kinetic Theory; 1. Boyle, Bernoulli, Maxwell, and Sadi Carnot.
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| 590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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| 650 |
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0 |
|a Stochastic sequences.
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| 650 |
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0 |
|a Evolution equations.
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| 650 |
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6 |
|a Suites aléatoires.
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| 650 |
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6 |
|a Équations d'évolution.
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| 650 |
|
7 |
|a MATHEMATICS
|x Game Theory.
|2 bisacsh
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| 650 |
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7 |
|a Evolution equations
|2 fast
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| 650 |
|
7 |
|a Stochastic sequences
|2 fast
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| 700 |
1 |
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|a Lorenz, Jens,
|d 1949-
|e editor.
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| 776 |
0 |
8 |
|i Print version:
|t Deterministic and random evolution
|d [Hauppauge], New York : Nova Science Publishers, Inc., [2013]
|z 9781626180147 (hardcover)
|w (DLC) 2013001526
|
| 856 |
4 |
0 |
|u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=570687
|z Texto completo
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| 938 |
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|b YANK
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|b EBLB
|n EBL3022092
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|b IZTAP
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