The Dynamics program and handbook allows the reader to explore nonlinear dynamics and chaos by the use of illustrated graphics. It is suitable for research and educational needs. This new edition allows the program to run 3 times faster on the processes that are time consuming. Other major changes include: There will be an add-your-own equation facility. This means it will be unnecessary to have a compiler. PD and Lyanpunov exponents and Newton method for finding periodic orbits can all be carried out numerically without adding specific code for partial derivatives. The program will support color postscript. New menu system in which the user is prompted by options when a command is chosen. This means that the program is much easier to learn and to remember in comparison to current version. Mouse support is added. The program will be able to use the expanded memory available on modern PC's. This means pictures will be higher resolution. There are also many minor chan ce much of the source code will be available on the web, although some of ges such as zoom facility and help facility. Due to limited spa it willr emain on the disk so that the unix users still have to purchase the book. This will allow minor upgrades for Unix users.
--This text refers to the
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Most Helpful Customer Reviews
7 of 7 people found the following review helpful:
5.0 out of 5 stars
research tool,
This review is from: Dynamics: Numerical Explorations (Applied Mathematical Sciences) (Hardcover)
Besides having the capability to produce the most popular "chaos" pictures discovered, this should read program accompanied by book. The more sophisticated the readers knowledge of non-linear dynamics, the more powerful this program becomes. This does not mean the reader needs to know C++ to work it (thank the fractal gods). This set up is a must for beginners in non-linear systems. The learning curve is about 2 hrs. and is easier than most window based applications. While most of the computations and graphs can be done in Mathcad (Matlab etc.), some of the special application functions would be very time comsuming. The best feature for this reader was the "add your own functions for testing" which has a significant file of reader's previous work to be analysed. This app. resides (in the desk top) along with Feedback and Control apps. ODE solvers, and the readers wavelet analysis. (just to show how useful it is).
5.0 out of 5 stars
Great book!,
By lew "lwndw123" (Connecticut, USA) - See all my reviews
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This review is from: Dynamics: Numerical Explorations (Applied Mathematical Sciences) (Hardcover)
Manual for software that makes it possible to do numerical experiments with dynamical systems and study chaotic behavior.
As for year 2011, comments are as follows: 1. Software was written over 10 years ago, and general "look and feel" is a bit outdated. Menu structure a bit not intuitive 2. Book comes with diskette that contains program of Dynamics system. The version I got with book is for Windows 95. Don't even TRY to run this software on Windows XP or later. Download the newest version from author's web page [...] This version works perfectly on Windows XP and Windows 7 (I tested on both). This new version comes with new features and extended manual. Highly recomended for everybody who wants to make "experimental mathematics". Warning: you must know something about dynamical systems and chaos to use this book. This is not a textbook
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Inside This Book
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First Sentence:
Chaotic dynamics has a long history that can be traced back to the papers of Henri Poincare and James Clerk Maxwell. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
rho varies, complex quadratic map, following periodic orbits, connect consecutive dots, exponent bifurcation diagram, plotting basins, generalized basin, manifold routines, diverging scheme, problem printing the picture, pendulum differential equation, straddle orbits, chaotic saddle, upper left window shows, core copy, basin computation, parameter rho, lower right window shows, plotting bifurcation diagrams, attracting period, basin cell, flip saddle, finding periodic orbits, orbit index, basin resolution Key Phrases - Capitalized Phrases (CAPs): (learn more)
Numerical Explorations, Color Figure, Samples of Dynamics, Periodic Orbit Menu, Basin Resolution Menu, Maximum Checks, Cancel Tab, Diff Eqs, Disk Menu, Window Menu, Lyapunov Menu, Size of Core Menu, Add From Disk, Fetch the Vector Menu, List Lyapunov, Background Color Menu, Plot Time, Read Disk, Straddle Options Menu, Basin Lyapunov Minimum, Complete Clear, File Menu, Zoom Factor, Box Lower-Left, Box Upper-Right New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Chaotic dynamics has a long history that can be traced back to the papers of Henri Poincare and James Clerk Maxwell. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
rho varies, complex quadratic map, following periodic orbits, connect consecutive dots, exponent bifurcation diagram, plotting basins, generalized basin, manifold routines, diverging scheme, problem printing the picture, pendulum differential equation, straddle orbits, chaotic saddle, upper left window shows, core copy, basin computation, parameter rho, lower right window shows, plotting bifurcation diagrams, attracting period, basin cell, flip saddle, finding periodic orbits, orbit index, basin resolution Key Phrases - Capitalized Phrases (CAPs): (learn more)
Numerical Explorations, Color Figure, Samples of Dynamics, Periodic Orbit Menu, Basin Resolution Menu, Maximum Checks, Cancel Tab, Diff Eqs, Disk Menu, Window Menu, Lyapunov Menu, Size of Core Menu, Add From Disk, Fetch the Vector Menu, List Lyapunov, Background Color Menu, Plot Time, Read Disk, Straddle Options Menu, Basin Lyapunov Minimum, Complete Clear, File Menu, Zoom Factor, Box Lower-Left, Box Upper-Right New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 100
books:
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73
books
cite this book:
See all 73 books citing this book
- Differential Equations (2nd Edition) by John Polking in Back Matter (1), and Back Matter (2)
- Chaotic Dynamics and Fractals (Notes and Reports in Mathematics in Science and Engineering Series) by Michael F. Barnsley in Back Matter
- Recurrences and Discrete Dynamic Systems (Lecture Notes in Mathematics) by Igor Gumowski in Back Matter
- Periodic Motions (Applied Mathematical Sciences) by Miklos Farkas in Back Matter
- From Clocks to Chaos by Leon Glass in Back Matter
See all 100 books this book cites
- Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers by Robert Hilborn on page 65, Back Matter (1), and Back Matter (2)
- Chaos by Kathleen T. Alligood on page 6, and Back Matter
- Elements of Applied Bifurcation Theory (Applied Mathematical Sciences) by Yuri Kuznetsov in Back Matter (1), and Back Matter (2)
- The Theory of Chaotic Attractors by Brian R. Hunt in Front Matter, and page 511
- Prandtl's Essentials of Fluid Mechanics (Applied Mathematical Sciences) by Herbert Oertel in Back Matter
See all 73 books citing this book
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