Recent Improvements In The Theory Of Chaotic Attractors
DOWNLOAD
Download Recent Improvements In The Theory Of Chaotic Attractors PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Recent Improvements In The Theory Of Chaotic Attractors book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Recent Improvements In The Theory Of Chaotic Attractors
DOWNLOAD
Author : René Lozi
language : en
Publisher: CRC Press
Release Date : 2025-02-19
Recent Improvements In The Theory Of Chaotic Attractors written by René Lozi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-19 with Mathematics categories.
This book presents some exceptional developments in chaotic attractor theory encompassing several new directions of research such as three-dimensional axiom A-diffeomorphisms, Shilnikov attractors, dendrites and finite graphs. The theory of chaotic attractors has experienced exceptional development over the last fifty years since the revelation of chaos in mathematics (invented by James Yorke) and symbolized by the “butterfly effect”. Relevant new results have been collected in this book, including: Some remarks on minimal sets on dendrites and finite graphs and the study of recurrence and nonwandering sets of local dendrite maps. Ramified continua as global attractors of C1- smooth self-maps of a cylinder close to skew products Chaotic behaviour of countable products of homeomorphism groups and dynamics of three-dimensional axiom A-diffeomorphisms with two-dimensional attractors and repellers. The search for invariant sets of the generalized tent map and quasi-hyperbolic regime in a certain family of 2-D piecewise linear map. Shilnikov attractors of three-dimensional flows and maps, right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis and diffeomorphisms with infinitely many Smale horseshoes. The theory of chaotic attractor is also used as a core for evolutionary algorithms and metaheuristic optimizers in this volume. This book will be of great value to students and researchers in mathematics, physics, engineering, and related disciplines seeking to deepen their understanding of chaotic dynamical systems and their applications. The chapters in this book were originally published in Journal of Difference Equations and Applications.
Recent Trends In Chaotic Nonlinear And Complex Dynamics
DOWNLOAD
Author : Jan Awrejcewicz
language : en
Publisher:
Release Date : 2021
Recent Trends In Chaotic Nonlinear And Complex Dynamics written by Jan Awrejcewicz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Chaotic behavior in systems categories.
Recent Advances In Chaotic Systems And Synchronization
DOWNLOAD
Author : Olfa Boubaker
language : en
Publisher: Academic Press
Release Date : 2018-11-05
Recent Advances In Chaotic Systems And Synchronization written by Olfa Boubaker and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-05 with Computers categories.
Recent Advances in Chaotic Systems and Synchronization: From Theory to Real World Applications is a major reference for scientists and engineers interested in applying new computational and mathematical tools for solving complex problems related to modeling, analyzing and synchronizing chaotic systems. Furthermore, it offers an array of new, real-world applications in the field. Written by eminent scientists in the field of control theory and nonlinear systems from 19 countries (Cameroon, China, Ethiopia, France, Greece, India, Italia, Iran, Japan, Mexico, and more), this book covers the latest advances in chaos theory, along with the efficiency of novel synchronization approaches. Readers will find the fundamentals and algorithms related to the analysis and synchronization of chaotic systems, along with key applications, including electronic design, text and image encryption, and robot control and tracking. - Explores and evaluates the latest real-world applications of chaos across various engineering and biomedical engineering fields - Investigates advances in chaos synchronization techniques, including the continuous sliding-mode control approach, hybrid synchronization between chaotic and hyperchaotic systems, and neural network synchronization - Presents recent advances in chaotic systems through an overview of new systems and new proprieties
Recent Progress In Controlling Chaos
DOWNLOAD
Author : Miguel A F Sanjuan
language : en
Publisher: World Scientific
Release Date : 2010-01-13
Recent Progress In Controlling Chaos written by Miguel A F Sanjuan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-13 with Science categories.
This review volume consists an indispensable collection of research papers chronicling the recent progress in controlling chaos. Here, new theoretical ideas, as experimental implementations of controlling chaos, are included, while the applications contained in this volume can be referred to as turbulent magnetized plasmas, chaotic neural networks, modeling city traffic and models of interest in celestial mechanics.Recent Progress in Controlling Chaos provides an excellent broad overview of the subject matter, and will be especially useful for graduate students, researchers and scientists working in the areas of nonlinear dynamics, chaos and complex systems. The authors, world-renowned scientists and prominent experts in the field of controlling chaos, will offer readers through their research works, a fascinating insight into the state-of-the-art technology used in the progress in key techniques and concepts in the field of control.
Recent Trends In Dynamical Systems
DOWNLOAD
Author : Andreas Johann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-24
Recent Trends In Dynamical Systems written by Andreas Johann 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 2013-09-24 with Mathematics categories.
This book presents the proceedings of a conference on dynamical systems held in honor of Jürgen Scheurle in January 2012. Through both original research papers and survey articles leading experts in the field offer overviews of the current state of the theory and its applications to mechanics and physics. In particular, the following aspects of the theory of dynamical systems are covered: - Stability and bifurcation - Geometric mechanics and control theory - Invariant manifolds, attractors and chaos - Fluid mechanics and elasticity - Perturbations and multiscale problems - Hamiltonian dynamics and KAM theory Researchers and graduate students in dynamical systems and related fields, including engineering, will benefit from the articles presented in this volume.
Recent Trends In Chaotic Nonlinear And Complex Dynamics
DOWNLOAD
Author : Jan Awrejcewicz
language : en
Publisher: World Scientific
Release Date : 2021-07-26
Recent Trends In Chaotic Nonlinear And Complex Dynamics written by Jan Awrejcewicz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-26 with Science categories.
In recent years, enormous progress has been made on nonlinear dynamics particularly on chaos and complex phenomena. This unique volume presents the advances made in theory, analysis, numerical simulation and experimental realization, promising novel practical applications on various topics of current interest on chaos and related fields of nonlinear dynamics.Particularly, the focus is on the following topics: synchronization vs. chaotic phenomena, chaos and its control in engineering dynamical systems, fractal-based dynamics, uncertainty and unpredictability measures vs. chaos, Hamiltonian systems and systems with time delay, local/global stability, bifurcations and their control, applications of machine learning to chaos, nonlinear vibrations of lumped mass mechanical/mechatronic systems (rigid body and coupled oscillator dynamics) governed by ODEs and continuous structural members (beams, plates, shells) vibrations governed by PDEs, patterns formation, chaos in micro- and nano-mechanical systems, chaotic reduced-order models, energy absorption/harvesting from chaotic, chaos vs. resonance phenomena, chaos exhibited by discontinuous systems, chaos in lab experiments.The present volume forms an invaluable source on recent trends in chaotic and complex dynamics for any researcher and newcomers to the field of nonlinear dynamics.
Hyperbolic Chaos
DOWNLOAD
Author : Sergey P. Kuznetsov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-03-20
Hyperbolic Chaos written by Sergey P. Kuznetsov 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 2012-03-20 with Science categories.
"Hyperbolic Chaos: A Physicist’s View” presents recent progress on uniformly hyperbolic attractors in dynamical systems from a physical rather than mathematical perspective (e.g. the Plykin attractor, the Smale – Williams solenoid). The structurally stable attractors manifest strong stochastic properties, but are insensitive to variation of functions and parameters in the dynamical systems. Based on these characteristics of hyperbolic chaos, this monograph shows how to find hyperbolic chaotic attractors in physical systems and how to design a physical systems that possess hyperbolic chaos. This book is designed as a reference work for university professors and researchers in the fields of physics, mechanics, and engineering. Dr. Sergey P. Kuznetsov is a professor at the Department of Nonlinear Processes, Saratov State University, Russia.
New Advances On Chaotic Intermittency And Its Applications
DOWNLOAD
Author : Sergio Elaskar
language : en
Publisher: Springer
Release Date : 2016-12-14
New Advances On Chaotic Intermittency And Its Applications written by Sergio Elaskar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-14 with Technology & Engineering categories.
One of the most important routes to chaos is the chaotic intermittency. However, there are many cases that do not agree with the classical theoretical predictions. In this book, an extended theory for intermittency in one-dimensional maps is presented. A new general methodology to evaluate the reinjection probability density function (RPD) is developed in Chapters 5 to 8. The key of this formulation is the introduction of a new function, called M(x), which is used to calculate the RPD function. The function M(x) depends on two integrals. This characteristic reduces the influence on the statistical fluctuations in the data series. Also, the function M(x) is easy to evaluate from the data series, even for a small number of numerical or experimental data. As a result, a more general form for the RPD is found; where the classical theory based on uniform reinjection is recovered as a particular case. The characteristic exponent traditionally used to characterize the intermittency type, is now a function depending on the whole map, not just on the local map. Also, a new analytical approach to obtain the RPD from the mathematical expression of the map is presented. In this way all cases of non standard intermittencies are included in the same frame work. This methodology is extended to evaluate the noisy reinjection probability density function (NRPD), the noisy probability of the laminar length and the noisy characteristic relation. This is an important difference with respect to the classical approach based on the Fokker-Plank equation or Renormalization Group theory, where the noise effect was usually considered just on the local Poincaré map. Finally, in Chapter 9, a new scheme to evaluate the RPD function using the Perron-Frobenius operator is developed. Along the book examples of applications are described, which have shown very good agreement with numerical computations.
Recent Advances In Spatial Equilibrium Modelling
DOWNLOAD
Author : Jeroen C.J.M.van den Bergh
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Recent Advances In Spatial Equilibrium Modelling written by Jeroen C.J.M.van den Bergh 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 2012-12-06 with Business & Economics categories.
Prices and quantities of both stock and flow variables in an economic system are decisively influenced by their spatial coordinates. Any equilibrium state also mirrors the underlying spatial structure and a tatonnement process also incorporates the spatial ramifications of consumer and producer behaviour. The recognition ofthe spatial element in the formation of a general equilibrium in a complex space-economy already dates back to early work of LOsch, Isard and Samuelson, but it reached a stage of maturity thanks to the new inroads made by T. Takayama. This book is devoted to spatial economic equilibrium (SPE) analysis and is meant to pay homage to the founding father of modern spatial economic thinking, Professor Takayama. This book witnesses his great talents in clear and rigorous economic thinking regarding an area where for decades many economists have been groping in the dark. Everybody who wants to study the phenomenon of spatial economic equilibrium will necessarily come across Takayama's work, but this necessity is at the same time a great pleasure. Studying his work means a personal scientific enrichment in a field which is still not completely explored. The present volume brings together recent contributions to spatial equilibrium analysis, written by friends and colleagues of Takayama. The structure of the book is based on four main uses of spatial equilibrium models: (i) the imbedding of spatial flows in the economic environment, related to e.g.
Recent Advances In Understanding The Basic Mechanisms Of Atrial Fibrillation Using Novel Computational Approaches
DOWNLOAD
Author : Jichao Zhao
language : en
Publisher: Frontiers Media SA
Release Date : 2019-11-25
Recent Advances In Understanding The Basic Mechanisms Of Atrial Fibrillation Using Novel Computational Approaches written by Jichao Zhao and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-25 with categories.