Author: N. S.) International Workshop on Dynamical Systems
Publisher: American Mathematical Society
Keywords: institute, communications, fields, biology, systems, applications, dynamical
Number of Pages: 268
Published: 2003-01
List price: $83.00
ISBN-10: 0821831631
ISBN-13: 9780821831632

This volume is based on the proceedings of the International Workshop on Dynamical Systems and their Applications in Biology held at the Canadian Coast Guard College on Cape Breton Island (Nova Scotia, Canada). It presents a broad picture of the current research surrounding applications of dynamical systems in biology, particularly in population biology. The book contains 19 papers and includes articles on the qualitative and/or numerical analysis of models involving ordinary, partial, functional, and stochastic differential equations. Applications include epidemiology, popu

Author: D. V. Anosov
Publisher: Springer
Keywords: dynamical, systems, mathematical, sciences, behaviour, hyperbolic, encyclopaedia
Number of Pages: 242
Published: 1995-10
List price: $139.00
ISBN-10: 0387570438
ISBN-13: 9780387570433

The book deals with smooth dynamical systems with hyperbolic behaviour of trajectories filling out "large subsets" of the phase space. Such systems lead to complicated motion (so-called "chaos"). The book begins with a discussion of the topological manifestations of uniform and total hyperbolicity: hyperbolic sets, Smale’s Axiom A, structurally stable systems, Anosov systems, and hyperbolic attractors of dimension or codimension one. There are various modifications of hyperbolicity and in this connection the properties of Lorenz attractors, pseudo-analytic Thurston diffeomorphisms, and h

Authors:Luc Pronzato, Henry P. Wynn, Anatoly A Zhigljavsky,
Publisher: Chapman and Hall/CRC
Keywords: dynamical, search, crc, statistics, hall, interdisciplinary, chapman, applications, systems, optimization, amp
Number of Pages: 240
Published: 1999-08-27
List price: $134.95
ISBN-10: 0849303362
ISBN-13: 9780849303364

Certain algorithms that are known to converge can be renormalized or "blown up" at each iteration so that their local behavior can be seen. This creates dynamical systems that we can study with modern tools, such as ergodic theory, chaos, special attractors, and Lyapounov exponents. Furthermore, we can translate the rates of convergence into less studied exponents known as Renyi entropies. This all feeds back to suggest new algorithms with faster rates of convergence. For example, in line-search, we can improve upon the Golden Section algorithm with new classes of algorithms that have their ow

Author: D. J. Luo
Publisher: World Scientific Pub Co Inc
Keywords: dynamical, systems, vol, series, advanced, qualitative, theory
Number of Pages: 280
Published: 1993-09
List price: $93.00
ISBN-10: 9810212682
ISBN-13: 9789810212681

This book deals with the global qualitative behaviour of flows and diffeomorphisms. It presents a systematic study of the fundamental theory and method of dynamical systems, from local behaviour near a critical (fixed) point or periodic orbit to the global, such as global structural stability, bifurcations and chaos. It emphasizes the global non-hyperbolicity and introduces some new results obtained by Chinese mathematicians which may not be widely known.

Author: V. S. Anishchenko
Publisher: World Scientific Publishing Company
Keywords: dynamical, chaos, series, scientific, science, vol, world, nonlinear, simple, experiments, models, appearance, routes, structure, systems
Number of Pages: 383
Published: 1995-11
List price: $89.00
ISBN-10: 9810221428
ISBN-13: 9789810221423

In this text bifurcational mechanisms of the development, structure and properties of chaotic attractors are investigated by numerical and physical experiments based on the methods of the modern theory of nonlinear oscillations. The typical bifurcations of regular and chaotic attractors which are due to parameter variations are analyzed. Regularities of the transition to chaos via the collapse of quasiperiodic oscillations with two and three frequencies are investigated in detail. The book deals with the problems of chaotic synchronization, interaction of attractors and the phenomenon of stoch

Author: INTERNATIONAL CONFERENCE ON COMPLEX ANALM. L. Agr
Publisher: American Mathematical Society
Keywords: complex, systems, dynamical, braude, karmiel, contemporary, mathematics, ort, israel, dynamics, analysis, proceedings, international, conference, june
Number of Pages: 260
Published: 2004-12
List price: $83.00
ISBN-10: 0821836862
ISBN-13: 9780821836866

This book contains contributions from the participants of an International Conference on Complex Analysis and Dynamical Systems. The papers collected here are devoted to various topics in complex analysis and dynamical systems, ranging from properties of holomorphic mappings to attractors in hyperbolic spaces. Overall, these selections provide an overview of activity in analysis at the outset of the twenty-first century. The book is suitable for graduate students and researchers in complex analysis and related problems of dynamics. With this volume, the Israel Mathematica

Author: International Conference on Dynamical Aspects of N
Publisher: World Scientific Publishing Company
Keywords: slovak, republic, october, casta, papiernicka, fission, nuclear, international, conference, dynamical, aspects, proceedings
Number of Pages: 586
Published: 2003-02
List price: $167.00
ISBN-10: 9812381295
ISBN-13: 9789812381293

Proceedings of the 5th International Conference held October 23-27, 2001 in Casta-Papiernicka, Slovak Republic. The aim of the DANF conference was to present and discuss new theoretical and experimental results in the field of nuclear fission dynamics.
  
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