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| Author | : Jacob Palis Júnior |
| Publisher | : Cambridge University Press |
| Total Pages | : 248 |
| Release | : 1995-01-05 |
| Genre | : Mathematics |
| ISBN | : 9780521475723 |
A self-contained introduction to the classical theory and its generalizations, aimed at mathematicians and scientists working in dynamical systems.
| Author | : Jacob Palis Júnior |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1993 |
| Genre | : Bifurcation theory |
| ISBN | : |
| Author | : Jacob Palis Júnior |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1993 |
| Genre | : Bifurcation theory |
| ISBN | : |
| Author | : Christian Bonatti |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 390 |
| Release | : 2006-03-30 |
| Genre | : Mathematics |
| ISBN | : 3540268448 |
What is Dynamics about? In broad terms, the goal of Dynamics is to describe the long term evolution of systems for which an "infinitesimal" evolution rule is known. Examples and applications arise from all branches of science and technology, like physics, chemistry, economics, ecology, communications, biology, computer science, or meteorology, to mention just a few. These systems have in common the fact that each possible state may be described by a finite (or infinite) number of observable quantities, like position, velocity, temperature, concentration, population density, and the like. Thus, m the space of states (phase space) is a subset M of an Euclidean space M . Usually, there are some constraints between these quantities: for instance, for ideal gases pressure times volume must be proportional to temperature. Then the space M is often a manifold, an n-dimensional surface for some n
| Author | : A. Katok |
| Publisher | : Elsevier |
| Total Pages | : 1235 |
| Release | : 2005-12-17 |
| Genre | : Mathematics |
| ISBN | : 0080478220 |
This second half of Volume 1 of this Handbook follows Volume 1A, which was published in 2002. The contents of these two tightly integrated parts taken together come close to a realization of the program formulated in the introductory survey “Principal Structures of Volume 1A.The present volume contains surveys on subjects in four areas of dynamical systems: Hyperbolic dynamics, parabolic dynamics, ergodic theory and infinite-dimensional dynamical systems (partial differential equations). . Written by experts in the field.. The coverage of ergodic theory in these two parts of Volume 1 is considerably more broad and thorough than that provided in other existing sources. . The final cluster of chapters discusses partial differential equations from the point of view of dynamical systems.
| Author | : Zeraoulia Elhadj |
| Publisher | : CRC Press |
| Total Pages | : 189 |
| Release | : 2019-01-21 |
| Genre | : Mathematics |
| ISBN | : 0429647425 |
Chaos is the idea that a system will produce very different long-term behaviors when the initial conditions are perturbed only slightly. Chaos is used for novel, time- or energy-critical interdisciplinary applications. Examples include high-performance circuits and devices, liquid mixing, chemical reactions, biological systems, crisis management, secure information processing, and critical decision-making in politics, economics, as well as military applications, etc. This book presents the latest investigations in the theory of chaotic systems and their dynamics. The book covers some theoretical aspects of the subject arising in the study of both discrete and continuous-time chaotic dynamical systems. This book presents the state-of-the-art of the more advanced studies of chaotic dynamical systems.
| Author | : H.W Broer |
| Publisher | : CRC Press |
| Total Pages | : 498 |
| Release | : 2001-06-18 |
| Genre | : Mathematics |
| ISBN | : 9781420034288 |
Contributed by close colleagues, friends, and former students of Floris Takens, Global Analysis of Dynamical Systems is a liber amicorum dedicated to Takens for his 60th birthday. The first chapter is a reproduction of Takens's 1974 paper "Forced oscillators and bifurcations" that was previously available only as a preprint of the University of Utrecht. Among other important results, it contains the unfolding of what is now known as the Bogdanov-Takens bifurcation. The remaining chapters cover topics as diverse as bifurcation theory, Hamiltonian mechanics, homoclinic bifurcations, routes to chaos, ergodic theory, renormalization theory, and time series analysis. In its entirety, the book bears witness to the influence of Takens on the modern theory of dynamical systems and its applications. This book is a must-read for anyone interested in this active and exciting field.
| Author | : Inman Harvey |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 215 |
| Release | : 2013-03-23 |
| Genre | : Computers |
| ISBN | : 1461464099 |
SmartData empowers personal data by wrapping it in a cloak of intelligence such that it now becomes the individual’s virtual proxy in cyberspace. No longer will personal data be shared or stored in the cloud as merely data, encrypted or otherwise; it will now be stored and shared as a constituent of the binary string specifying the entire SmartData agent. This agent proactively builds-in privacy, security and user preferences, right from the outset, not as an afterthought. SmartData: Privacy Meets Evolutionary Robotics includes the advances made in the technology of simulating virtual worlds, together with the ideas emerging from fields of evolutionary robotics and embodied cognition within a framework of dynamical systems as an approach toward this ultimate goal. The book brings together top researchers in the field and addresses current personal data privacy challenges in the online-world.
| Author | : B. Branner |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 354 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 9401584397 |
This volume contains edited versions of 11 contributions given by main speakers at the NATO Advanced Study Institute on lReal and Complex Dynamical Systems in Hiller0d, Denmark, June 20th - July 2nd, 1993. The vision of the institute was to illustrate the interplay between two important fields of Mathematics: Real Dynamical Systems and Complex Dynamical Systems. The interaction between these two fields has been growing over the years. Problems in Real Dynamical Systems have recently been solved using complex tools in the real or by extension to the complex. In return, problems in Complex Dynamical Systems have been settled using results from Real Dynamical Systems. The programme of the institute was to examine the state of the art of central parts of both Real and Complex Dynamical Systems, to reinforce contact between the two aspects of the theory and to make recent progress in each accessible to a larger group of mathematicians.
| Author | : Yuri A. Kuznetsov |
| Publisher | : Cambridge University Press |
| Total Pages | : 424 |
| Release | : 2019-03-28 |
| Genre | : Mathematics |
| ISBN | : 1108695140 |
This book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-time dynamical systems with concrete instruction on implementations (and example applications) in the free MATLAB® software MatContM developed by the authors. While self-contained and suitable for independent study, the book is also written with users in mind and is an invaluable reference for practitioners. Part I focuses on theory, providing a systematic presentation of bifurcations of fixed points and cycles of finite-dimensional maps, up to and including cases with two control parameters. Several complementary methods, including Lyapunov exponents, invariant manifolds and homoclinic structures, and parts of chaos theory, are presented. Part II introduces MatContM through step-by-step tutorials on how to use the general numerical methods described in Part I for simple dynamical models defined by one- and two-dimensional maps. Further examples in Part III show how MatContM can be used to analyze more complicated models from modern engineering, ecology, and economics.
