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Author : Yongluo Cao
Release : 1998
Genre :
Kind : eBook
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Book Synopsis The Global Dynamics of Some Hénon Maps by : Yongluo Cao
Download or read book The Global Dynamics of Some Hénon Maps written by Yongluo Cao. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mustafa R.S. Kulenovic
Release : 2002-02-27
Genre : Mathematics
Kind : eBook
Book Rating : 355/5 ( reviews)
Book Synopsis Discrete Dynamical Systems and Difference Equations with Mathematica by : Mustafa R.S. Kulenovic
Download or read book Discrete Dynamical Systems and Difference Equations with Mathematica written by Mustafa R.S. Kulenovic. This book was released on 2002-02-27. Available in PDF, EPUB and Kindle. Book excerpt: Following the work of Yorke and Li in 1975, the theory of discrete dynamical systems and difference equations developed rapidly. The applications of difference equations also grew rapidly, especially with the introduction of graphical-interface software that can plot trajectories, calculate Lyapunov exponents, plot bifurcation diagrams, and find ba
Author : Robert L. Devaney
Release : 2006
Genre : Mathematics
Kind : eBook
Book Rating : 250/5 ( reviews)
Book Synopsis Complex Dynamics by : Robert L. Devaney
Download or read book Complex Dynamics written by Robert L. Devaney. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt: Chaotic behavior of (even the simplest) iterations of polynomial maps of the complex plane was known for almost one hundred years due to the pioneering work of Farou, Julia, and their contemporaries. However, it was only twenty-five years ago that the first computer generated images illustrating properties of iterations of quadratic maps appeared. These images of the so-called Mandelbrot and Julia sets immediately resulted in a strong resurgence of interest in complex dynamics. The present volume, based on the talks at the conference commemorating the twenty-fifth anniversary of the appearance of Mandelbrot sets, provides a panorama of current research in this truly fascinating area of mathematics.
Author : Lan Wen
Release : 1999-12-16
Genre :
Kind : eBook
Book Rating : 276/5 ( reviews)
Book Synopsis Dynamical Systems - Proceedings Of The International Conference In Honor Of Professor Liao Shantao by : Lan Wen
Download or read book Dynamical Systems - Proceedings Of The International Conference In Honor Of Professor Liao Shantao written by Lan Wen. This book was released on 1999-12-16. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the International Conference on Dynamical Systems in Honor of Prof. Liao Shantao (1920-97). The Third World Academy of Sciences awarded the first ever mathematics prize in 1985 to Prof. Liao in recognition of his foundational work in differentiable dynamical systems and his work in periodic transformation of spheres. The conference was held in Beijing in August 1998. There were about 90 participants, and nearly 60 talks were delivered.The topics covered include differentiable dynamics, topological dynamics, hamiltonian dynamics, complex dynamics, ergodic and stochastic dynamics, and fractals theory. Dynamical systems is a field with many difficult problems, and techniques are being developed to deal with those problems. This volume contains original studies of great mathematical depth and presents some of the fascinating numerical experiments.
Author : Dominique Cerveau
Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 288/5 ( reviews)
Book Synopsis Complex Dynamics and Geometry by : Dominique Cerveau
Download or read book Complex Dynamics and Geometry written by Dominique Cerveau. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: In the last twenty years, the theory of holomorphic dynamical systems has had a resurgence of activity, particularly concerning the fine analysis of Julia sets associated with polynomials and rational maps in one complex variable. At the same time, closely related theories have had a similar rapid development, for example the qualitative theory of differential equations in the complex domain. The meeting, ``Etat de la recherche'', held at Ecole Normale Superieure de Lyon, presented the current state of the art in this area, emphasizing the unity linking the various sub-domains. This volume contains four survey articles corresponding to the talks presented at this meeting. D. Cerveau describes the structure of polynomial differential equations in the complex plane, focusing on the local analysis in neighborhoods of singular points. E. Ghys surveys the theory of laminations by Riemann surfaces which occur in many dynamical or geometrical situations. N. Sibony describes the present state of the generalization of the Fatou-Julia theory for polynomial or rational maps in two or more complex dimensions. Lastly, the talk by J.-C. Yoccoz, written by M. Flexor, considers polynomials of degree $2$ in one complex variable, and in particular, with the hyperbolic properties of these polynomials centered around the Jakobson theorem. This is a general introduction that gives a basic history of holomorphic dynamical systems, demonstrating the numerous and fruitful interactions among the topics. In the spirit of the ``Etat de la recherche de la SMF'' meetings, the articles are written for a broad mathematical audience, especially students or mathematicians working in different fields. This book is translated from the French edition by Leslie Kay.
