عنوان
پدید آورنده
موضوع
رده
QA274.225
QA274
.
225
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
1626180202
(Number (ISBN
9781626180208
Erroneous ISBN
1626180148
Erroneous ISBN
9781626180147
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Deterministic and random evolution /
General Material Designation
[Book]
First Statement of Responsibility
Jens Lorenz, editor.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
[Hauppauge], New York :
Name of Publisher, Distributor, etc.
Nova Science Publishers, Inc.,
Date of Publication, Distribution, etc.
[2013]
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource.
SERIES
Series Title
Mathematics research developments
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 183-184) and index.
CONTENTS NOTE
Text of Note
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.
Text of Note
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.
Text of Note
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.
Text of Note
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.
Text of Note
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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OTHER EDITION IN ANOTHER MEDIUM
Title
Deterministic and random evolution
International Standard Book Number
9781626180147 (hardcover)
TOPICAL NAME USED AS SUBJECT
Evolution equations.
Stochastic sequences.
Evolution equations.
MATHEMATICS-- Game Theory.
Stochastic sequences.
(SUBJECT CATEGORY (Provisional
MAT-- 011000
DEWEY DECIMAL CLASSIFICATION
Number
519
.
3
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA274
.
225
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Lorenz, Jens,1949-
ORIGINATING SOURCE
Date of Transaction
20200823051001.0
Cataloguing Rules (Descriptive Conventions))
rda
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
