Discrete Chaos Second Edition With Applications In Science And En PDF Download
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Author | : Saber N. Elaydi |
Publisher | : CRC Press |
Total Pages | : 441 |
Release | : 2007-11-09 |
Genre | : Mathematics |
ISBN | : 1584885920 |
Download Discrete Chaos, Second Edition Book in PDF, ePub and Kindle
While maintaining the lucidity of the first edition, Discrete Chaos, Second Edition: With Applications in Science and Engineering now includes many recent results on global stability, bifurcation, chaos, and fractals. The first five chapters provide the most comprehensive material on discrete dynamical systems, including trace-determinant stability, bifurcation analysis, and the detailed analysis of the center manifold theory. This edition also covers L-systems and the periodic structure of the bulbs in the Mandelbrot set as well as new applications in biology, chemistry, and physics. The principal improvements to this book are the additions of PHASER software on an accompanying CD-ROM and the MapleTM and Mathematica® code available for download online. Incorporating numerous new topics and technology not found in similar texts, Discrete Chaos, Second Edition presents a thorough, up-to-date treatment of the theory and applications of discrete dynamical systems.
Author | : Elaydi Saber N Staff |
Publisher | : |
Total Pages | : 69 |
Release | : 2007-10 |
Genre | : |
ISBN | : 9781420069853 |
Download Discrete Chaos Second Edition with Applications in Science and en Book in PDF, ePub and Kindle
Author | : Saber Elaydi |
Publisher | : |
Total Pages | : 355 |
Release | : 2000 |
Genre | : Chaotic behavior in systems |
ISBN | : |
Download Discrete Chaos Book in PDF, ePub and Kindle
Author | : Steven H. Strogatz |
Publisher | : CRC Press |
Total Pages | : 532 |
Release | : 2018-05-04 |
Genre | : Mathematics |
ISBN | : 0429961111 |
Download Nonlinear Dynamics and Chaos Book in PDF, ePub and Kindle
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Author | : Kathleen Alligood |
Publisher | : Springer |
Total Pages | : 620 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642592813 |
Download Chaos Book in PDF, ePub and Kindle
BACKGROUND Sir Isaac Newton hrought to the world the idea of modeling the motion of physical systems with equations. It was necessary to invent calculus along the way, since fundamental equations of motion involve velocities and accelerations, of position. His greatest single success was his discovery that which are derivatives the motion of the planets and moons of the solar system resulted from a single fundamental source: the gravitational attraction of the hodies. He demonstrated that the ohserved motion of the planets could he explained hy assuming that there is a gravitational attraction he tween any two ohjects, a force that is proportional to the product of masses and inversely proportional to the square of the distance between them. The circular, elliptical, and parabolic orhits of astronomy were v INTRODUCTION no longer fundamental determinants of motion, but were approximations of laws specified with differential equations. His methods are now used in modeling motion and change in all areas of science. Subsequent generations of scientists extended the method of using differ ential equations to describe how physical systems evolve. But the method had a limitation. While the differential equations were sufficient to determine the behavior-in the sense that solutions of the equations did exist-it was frequently difficult to figure out what that behavior would be. It was often impossible to write down solutions in relatively simple algebraic expressions using a finite number of terms. Series solutions involving infinite sums often would not converge beyond some finite time.
Author | : Saber N. Elaydi |
Publisher | : Springer Science & Business Media |
Total Pages | : 441 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 1475731108 |
Download An Introduction to Difference Equations Book in PDF, ePub and Kindle
Integrating both classical and modern treatments of difference equations, this book contains the most updated and comprehensive material on stability, Z-transform, discrete control theory, asymptotic theory, continued fractions and orthogonal polynomials. While the presentation is simple enough for use by advanced undergraduates and beginning graduates in mathematics, engineering science, and economics, it will also be a useful reference for scientists and engineers interested in discrete mathematical models. The text covers a large set of applications in a variety of disciplines, including neural networks, feedback control, Markov chains, trade models, heat transfer, propagation of plants, epidemic models and host-parasitoid systems, with each section rounded off by an extensive and highly selected set of exercises.
Author | : Robert Devaney |
Publisher | : CRC Press |
Total Pages | : 280 |
Release | : 2018-03-09 |
Genre | : Mathematics |
ISBN | : 0429981937 |
Download An Introduction To Chaotic Dynamical Systems Book in PDF, ePub and Kindle
The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book. In this second edition of his best-selling text, Devaney includes new material on the orbit diagram fro maps of the interval and the Mandelbrot set, as well as striking color photos illustrating both Julia and Mandelbrot sets. This book assumes no prior acquaintance with advanced mathematical topics such as measure theory, topology, and differential geometry. Assuming only a knowledge of calculus, Devaney introduces many of the basic concepts of modern dynamical systems theory and leads the reader to the point of current research in several areas.
Author | : Morris W. Hirsch |
Publisher | : Academic Press |
Total Pages | : 433 |
Release | : 2004 |
Genre | : Business & Economics |
ISBN | : 0123497035 |
Download Differential Equations, Dynamical Systems, and an Introduction to Chaos Book in PDF, ePub and Kindle
Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of.
Author | : Clark Robinson |
Publisher | : CRC Press |
Total Pages | : 522 |
Release | : 1998-11-17 |
Genre | : Mathematics |
ISBN | : 1482227878 |
Download Dynamical Systems Book in PDF, ePub and Kindle
Several distinctive aspects make Dynamical Systems unique, including: treating the subject from a mathematical perspective with the proofs of most of the results included providing a careful review of background materials introducing ideas through examples and at a level accessible to a beginning graduate student
Author | : Adel Ouannas |
Publisher | : World Scientific |
Total Pages | : 218 |
Release | : 2023-02-13 |
Genre | : Science |
ISBN | : 9811271224 |
Download Fractional Discrete Chaos: Theories, Methods And Applications Book in PDF, ePub and Kindle
In the nineteenth-century, fractional calculus had its origin in extending differentiation and integration operators from the integer-order case to the fractional-order case. Discrete fractional calculus has recently become an important research topic, useful in various science and engineering applications. The first definition of the fractional-order discrete-time/difference operator was introduced in 1974 by Diaz and Osler, where such operator was derived by discretizing the fractional-order continuous-time operator. Successfully, several types of fractional-order difference operators have then been proposed and introduced through further generalizing numerous classical operators, motivating several researchers to publish extensively on a new class of systems, viz the nonlinear fractional-order discrete-time systems (or simply, the fractional-order maps), and their chaotic behaviors. This discovery of chaos in such maps, has led to novel control methods for effectively stabilizing their chaotic dynamics.The aims of this book are as follows: