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Hyperbolicity And Sensitive Chaotic Dynamics At Homoclinic Bifurcations


Hyperbolicity And Sensitive Chaotic Dynamics At Homoclinic Bifurcations
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Hyperbolicity And Sensitive Chaotic Dynamics At Homoclinic Bifurcations


Hyperbolicity And Sensitive Chaotic Dynamics At Homoclinic Bifurcations
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Author : Jacob Palis Júnior
language : en
Publisher: Cambridge University Press
Release Date : 1995-01-05

Hyperbolicity And Sensitive Chaotic Dynamics At Homoclinic Bifurcations written by Jacob Palis Júnior and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-05 with Mathematics categories.


A self-contained introduction to the classical theory and its generalizations, aimed at mathematicians and scientists working in dynamical systems.



Hyperbolicity And Sensitive Chaotic Dynamics At Homoclinic Bifurcations


Hyperbolicity And Sensitive Chaotic Dynamics At Homoclinic Bifurcations
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Author : Jacob Palis Júnior
language : en
Publisher:
Release Date : 1993

Hyperbolicity And Sensitive Chaotic Dynamics At Homoclinic Bifurcations written by Jacob Palis Júnior and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Bifurcation theory categories.




Dynamics Beyond Uniform Hyperbolicity


Dynamics Beyond Uniform Hyperbolicity
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Author : Christian Bonatti
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30

Dynamics Beyond Uniform Hyperbolicity written by Christian Bonatti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Mathematics categories.


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



Nonlinearity Bifurcation And Chaos


Nonlinearity Bifurcation And Chaos
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Author : Jan Awrejcewicz
language : en
Publisher: BoD – Books on Demand
Release Date : 2012-10-24

Nonlinearity Bifurcation And Chaos written by Jan Awrejcewicz and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-24 with Mathematics categories.


Nonlinearity, Bifurcation and Chaos - Theory and Application is an edited book focused on introducing both theoretical and application oriented approaches in science and engineering. It contains 12 chapters, and is recommended for university teachers, scientists, researchers, engineers, as well as graduate and post-graduate students either working or interested in the field of nonlinearity, bifurcation and chaos.



Dynamics With Chaos And Fractals


Dynamics With Chaos And Fractals
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Author : Marat Akhmet
language : en
Publisher: Springer Nature
Release Date : 2020-01-01

Dynamics With Chaos And Fractals written by Marat Akhmet and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-01 with Mathematics categories.


The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynamical systems, geometry, measure theory, topology, and numerical analysis during the last several decades. It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set. This is the first time in the literature that the description of chaos is initiated from a single motion. Chaos is now placed on the line of oscillations, and therefore, it is a subject of study in the framework of the theories of dynamical systems and differential equations, as in this book. The techniques introduced in the book make it possible to develop continuous and discrete dynamics which admit fractals as points of trajectories as well as orbits themselves. To provide strong arguments for the genericity of chaos in the real and abstract universe, the concept of abstract similarity is suggested.



Numerical Bifurcation Analysis Of Maps


Numerical Bifurcation Analysis Of Maps
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Author : I︠U︡riĭ Aleksandrovich Kuznet︠s︡ov
language : en
Publisher: Cambridge University Press
Release Date : 2019-03-28

Numerical Bifurcation Analysis Of Maps written by I︠U︡riĭ Aleksandrovich Kuznet︠s︡ov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-28 with Mathematics categories.


Combines a systematic analysis of bifurcations of iterated maps with concrete MATLAB® implementations and applications.



Global Analysis Of Dynamical Systems


Global Analysis Of Dynamical Systems
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Author : H.W Broer
language : en
Publisher: CRC Press
Release Date : 2001-06-18

Global Analysis Of Dynamical Systems written by H.W Broer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-18 with Mathematics categories.


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.



Acta Numerica 2002 Volume 11


Acta Numerica 2002 Volume 11
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Author : Arieh Iserles
language : en
Publisher: Cambridge University Press
Release Date : 2002-07

Acta Numerica 2002 Volume 11 written by Arieh Iserles and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07 with Mathematics categories.


An annual volume presenting substantive survey articles in numerical mathematics and scientific computing.



Progress And Challenges In Dynamical Systems


Progress And Challenges In Dynamical Systems
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Author : Santiago Ibáñez
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-20

Progress And Challenges In Dynamical Systems written by Santiago Ibáñez and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-20 with Mathematics categories.


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.



Frontiers In Complex Dynamics


Frontiers In Complex Dynamics
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Author : Araceli Bonifant
language : en
Publisher: Princeton University Press
Release Date : 2014-03-16

Frontiers In Complex Dynamics written by Araceli Bonifant and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-16 with Mathematics categories.


John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize, and is the only one to have received all three of the Leroy P. Steele prizes. In honor of his eightieth birthday, this book gathers together surveys and papers inspired by Milnor's work, from distinguished experts examining not only holomorphic dynamics in one and several variables, but also differential geometry, entropy theory, and combinatorial group theory. The book contains the last paper written by William Thurston, as well as a short paper by John Milnor himself. Introductory sections put the papers in mathematical and historical perspective, color figures are included, and an index facilitates browsing. This collection will be useful to students and researchers for decades to come. The contributors are Marco Abate, Marco Arizzi, Alexander Blokh, Thierry Bousch, Xavier Buff, Serge Cantat, Tao Chen, Robert Devaney, Alexandre Dezotti, Tien-Cuong Dinh, Romain Dujardin, Hugo García-Compeán, William Goldman, Rotislav Grigorchuk, John Hubbard, Yunping Jiang, Linda Keen, Jan Kiwi, Genadi Levin, Daniel Meyer, John Milnor, Carlos Moreira, Vincente Muñoz, Viet-Anh Nguyên, Lex Oversteegen, Ricardo Pérez-Marco, Ross Ptacek, Jasmin Raissy, Pascale Roesch, Roberto Santos-Silva, Dierk Schleicher, Nessim Sibony, Daniel Smania, Tan Lei, William Thurston, Vladlen Timorin, Sebastian van Strien, and Alberto Verjovsky.