Newton S Method And Dynamical Systems
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Newton s Method and Dynamical Systems
Author | : H.-O. Peitgen |
Publsiher | : Springer Science & Business Media |
Total Pages | : 227 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9789400922815 |
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Newton s Method Applied to Two Quadratic Equations in C2 Viewed as a Global Dynamical System
Author | : John H. Hubbard,Peter Papadopol |
Publsiher | : American Mathematical Soc. |
Total Pages | : 146 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 9780821840566 |
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The authors study the Newton map $N:\mathbb{C 2\rightarrow\mathbb{C 2$ associated to two equations in two unknowns, as a dynamical system. They focus on the first non-trivial case: two simultaneous quadratics, to intersect two conics. In the first two chapters, the authors prove among other things:
Dynamical Systems and Fractals
Author | : Karl-Heinz Becker,Michael Dörfler |
Publsiher | : Cambridge University Press |
Total Pages | : 420 |
Release | : 1989-10-26 |
Genre | : Computers |
ISBN | : 052136910X |
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This 1989 book is about chaos, fractals and complex dynamics.
Newton s Method Applied to Two Quadratic Equations in C2 Viewed as a Global Dynamical System
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Author | : John Hamal Hubbard,Peter Papadopol |
Publsiher | : Unknown |
Total Pages | : 160 |
Release | : 2008 |
Genre | : Differentiable dynamical systems |
ISBN | : 1470404974 |
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Studies the Newton map $N: \mathbb{C} DEGREES2\rightarrow\mathbb{C} DEGREES2$ associated to two equations in two unknowns, as a dynamical system. This title focuses on the first non-trivial case: two simultaneous quadratics, to intersect two conics. It proves among other things: the Russakovksi-Shiffman measure does not change the points of
A First Course In Chaotic Dynamical Systems
Author | : Robert L. Devaney |
Publsiher | : CRC Press |
Total Pages | : 394 |
Release | : 2018-05-04 |
Genre | : Mathematics |
ISBN | : 9780429983115 |
Download A First Course In Chaotic Dynamical Systems Book in PDF, Epub and Kindle
A First Course in Chaotic Dynamical Systems: Theory and Experiment is the first book to introduce modern topics in dynamical systems at the undergraduate level. Accessible to readers with only a background in calculus, the book integrates both theory and computer experiments into its coverage of contemporary ideas in dynamics. It is designed as a gradual introduction to the basic mathematical ideas behind such topics as chaos, fractals, Newton's method, symbolic dynamics, the Julia set, and the Mandelbrot set, and includes biographies of some of the leading researchers in the field of dynamical systems. Mathematical and computer experiments are integrated throughout the text to help illustrate the meaning of the theorems presented. Chaotic Dynamical Systems Software, Labs 1-6 is a supplementary labouratory software package, available separately, that allows a more intuitive understanding of the mathematics behind dynamical systems theory. Combined with A First Course in Chaotic Dynamical Systems , it leads to a rich understanding of this emerging field.
Newton s Method Applied to Two Quadratic Equations in C2 Viewed as a Global Dynamical System
Author | : John H. Hubbard,Peter Papadopol |
Publsiher | : American Mathematical Soc. |
Total Pages | : 162 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 082186632X |
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Introduction Fundamental properties of Newton maps Invariant 3-manifolds associated to invariant circles The behavior at infinity when $a=b=0$ The Farey blow-up The compactification when $a=b=0$ The case where $a$ and $b$ are arbitrary Bibliography
Dynamical Systems
Author | : Shlomo Sternberg |
Publsiher | : Courier Corporation |
Total Pages | : 272 |
Release | : 2014-06-10 |
Genre | : Mathematics |
ISBN | : 9780486135144 |
Download Dynamical Systems Book in PDF, Epub and Kindle
A pioneer in the field of dynamical systems discusses one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials include PowerPoint slides and MATLAB exercises. 2010 edition.
Differential Equations A Dynamical Systems Approach
Author | : John H. Hubbard,Beverly H. West |
Publsiher | : Springer |
Total Pages | : 363 |
Release | : 2013-11-27 |
Genre | : Mathematics |
ISBN | : 9781461209379 |
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This corrected third printing retains the authors'main emphasis on ordinary differential equations. It is most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, and applied mathematics, as well as the life sciences, physics and economics. The authors have taken the view that a differential equations theory defines functions; the object of the theory is to understand the behaviour of these functions. The tools the authors use include qualitative and numerical methods besides the traditional analytic methods, and the companion software, MacMath, is designed to bring these notions to life.