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Deals with limit cycles of general plane stationary systems, including their existence, nonexistence, stability, and uniqueness. This book also discusses the global topological structure of limit cycles and phase-portraits of quadratic systems.
This book contains papers based on talks given at the International Conference Dynamical Systems: 100 years after Poincaré held at the University of Oviedo, Gijón in Spain, September 2012. It provides an overview of the state of the art in the study of dynamical systems. This book covers a broad range of topics, focusing on discrete and continuous dynamical systems, bifurcation theory, celestial mechanics, delay difference and differential equations, Hamiltonian systems and also the classic challenges in planar vector fields. It also details recent advances and new trends in the field, including applications to a wide range of disciplines such as biology, chemistry, physics and economics. The memory of Henri Poincaré, who laid the foundations of the subject, inspired this exploration of dynamical systems. In honor of this remarkable mathematician, theoretical physicist, engineer and philosopher, the authors have made a special effort to place the reader at the frontiers of current knowledge in the discipline.
Paulette was a simple maid to Pierre Franchard a young and talented sculptor. She hopes that he will notice her, but alas so far Pierre has not truly seen her… that was all about to change with a daring plan!
Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.
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 describe...
Featuring Contributions by: Mark Alberstat, Marino C. Alvarez, Peter Calamai, Catherine Cooke, Carla Coupe, David Stuart Davies, John Farrell, Lyndsay Faye, Sonia Fetherston, Jayantika Ganguly, Jeffrey Hatcher, Roger Johnson, Leslie S. Klinger, Ann Margaret Lewis, Bonnie MacBird, Stephen Mason, Julie McKuras Nicholas Meyer, Jacquelynn Morris, Otto Penzler, Christopher Redmond, Tracy J. Revels, Steven Rothman, Nancy Holder, Mark Levy (and Arlene Mantin Levy), Nicholas Utechin, and Sean M. Wright (and DeForeest B. Wright, III) In 2015, The MX Book of New Sherlock Holmes Stories burst upon the scene, featuring traditional Canonical adventures set within the correct time period, and written by m...
In 2015, The MX Book of New Sherlock Holmes Stories burst upon the scene, featuring over sixty new traditional Sherlock Holmes adventures, all set within the correct time period, and written by many of today's leading Sherlockian authors from around the world. This first anthology, spread over three huge volumes, was the largest collection of its kind ever assembled in one place. Response was immediately and overwhelmingly positive, and there were soon calls for additional volumes. The result is this new collection, the next in an ongoing series, featuring twenty-two more Holmes investigations. Since his first appearance in print in 1887, the popularity of Sherlock Holmes has only increased....
Henri Poincare (1854-1912) was one of the greatest scientists of his time, perhaps the last one to have mastered and expanded almost all areas in mathematics and theoretical physics. In this book, twenty world experts present one part of Poincare's extraordinary work. Each chapter treats one theme, presenting Poincare's approach, and achievements.