New Trends In One Dimensional Dynamics

Author : Maria José Pacifico,Pablo Guarino
Publisher : Springer Nature
Page : 333 pages
File Size : 40,9 Mb
Release : 2019-12-14
Category : Mathematics
ISBN : 9783030168339

Get Book

New Trends in One-Dimensional Dynamics by Maria José Pacifico,Pablo Guarino Pdf

This volume presents the proceedings of the meeting New Trends in One-Dimensional Dynamics, which celebrated the 70th birthday of Welington de Melo and was held at the IMPA, Rio de Janeiro, in November 2016. Highlighting the latest results in one-dimensional dynamics and its applications, the contributions gathered here also celebrate the highly successful meeting, which brought together experts in the field, including many of Welington de Melo’s co-authors and former doctoral students. Sadly, Welington de Melo passed away shortly after the conference, so that the present volume became more a tribute to him. His role in the development of mathematics was undoubtedly an important one, especially in the area of low-level dynamics, and his legacy includes, in addition to many articles with fundamental contributions, books that are required reading for all newcomers to the field.

Author : Karen Marie Brucks
Publisher : Unknown
Page : 297 pages
File Size : 52,9 Mb
Release : 2004
Category : Differentiable dynamical systems
ISBN : 1107095972

Get Book

Topics from One-dimensional Dynamics by Karen Marie Brucks Pdf

One-dimensional dynamics owns many deep results & avenues of active mathematical research. Numerous inroads to this research exist for the advanced student. This book offers glimpses into the field with the aim that the results presented illuminate the beauty & excitement to be found.

Author : Pierre Coullet,Patrick Huerre
Publisher : Springer Science & Business Media
Page : 341 pages
File Size : 49,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781468474794

Get Book

New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena by Pierre Coullet,Patrick Huerre Pdf

The basic aim of the NATO Advanced Research Workshop on "New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena: The Geometry of Nonequilibrium" was to bring together researchers from various areas of physics to review and explore new ideas regarding the organisation of systems driven far from equilibrium. Such systems are characterized by a close relationship between broken spatial and tempo ral symmetries. The main topics of interest included pattern formation in chemical systems, materials and convection, traveling waves in binary fluids and liquid crystals, defects and their role in the disorganisa tion of structures, spatio-temporal intermittency, instabilities and large-scale vortices in open flows, the mathematics of non-equilibrium systems, turbulence, and last but not least growth phenomena. Written contributions from participants have been grouped into chapters addressing these different areas. For additional clarity, the first chapter on pattern formation has been subdivided into sections. One of the main concerns was to focus on the unifying features between these diverse topics. The various scientific communities repre sented were encouraged to discuss and compare their approach so as to mutually benefit their respective fields. We hope that, to a large degree, these goals have been met and we thank all the participants for their efforts. The workshop was held in Cargese (Corsica, France) at the Institut d'Etudes Scientifiques from August 2nd to August 12th, 1988. We greatly thank Yves Pomeau and Daniel Walgraef who, as members of the organising committee, gave us valuable advice and encouragements.

Author : Welington de Melo,Sebastian van Strien
Publisher : Unknown
Page : 632 pages
File Size : 47,9 Mb
Release : 1993
Category : Differentiable dynamical systems
ISBN : UCSC:32106010182035

Get Book

One-dimensional Dynamics by Welington de Melo,Sebastian van Strien Pdf

Author : Karen M Brucks
Publisher : Unknown
Page : 128 pages
File Size : 55,8 Mb
Release : 2014-05-10
Category : Electronic
ISBN : 129970624X

Get Book

Topics from One-Dimensional Dynamics by Karen M Brucks Pdf

One-dimensional dynamics owns many deep results and avenues of active mathematical research. Numerous inroads to this research exist for the advanced undergraduate or beginning graduate student. This book provides glimpses into one-dimensional dynamics with the hope that the results presented illuminate the beauty and excitement of the field. Much of this material is covered nowhere else in textbook format, some are mini new research topics in themselves, and novel connections are drawn with other research areas both inside and outside the text. The material presented here is not meant to be approached in a linear fashion. Readers are encouraged to pick and choose favourite topics. Anyone with an interest in dynamics, novice or expert alike, will find much of interest within.

Author : Vladas Sidoravicius
Publisher : Springer Science & Business Media
Page : 886 pages
File Size : 40,6 Mb
Release : 2009-08-31
Category : Science
ISBN : 9789048128105

Get Book

New Trends in Mathematical Physics by Vladas Sidoravicius Pdf

This book collects selected papers written by invited and plenary speakers of the 15th International Congress on Mathematical Physics (ICMP) in the aftermath of the conference. In extensive review articles and expository texts as well as advanced research articles the world leading experts present the state of the art in modern mathematical physics. New mathematical concepts and ideas are introduced by prominent mathematicalphysicists and mathematicians, covering among others the fields of Dynamical Systems, Operator Algebras, Partial Differential Equations, Probability Theory, Random Matrices, Condensed Matter Physics, Statistical Mechanics, General Relativity, Quantum Mechanics, Quantum Field Theory, Quantum Information and String Theory. All together the contributions in this book give a panoramic view of the latest developments in mathematical physics. They will help readers with a general interest in mathematical physics to get an update on the most recent developments in their field, and give a broad overview on actual and future research directions in this fascinating and rapidly expanding area.

Author : Yunping Jiang
Publisher : World Scientific
Page : 327 pages
File Size : 47,7 Mb
Release : 1996-09-20
Category : Science
ISBN : 9789814500173

Get Book

Renormalization And Geometry In One-dimensional And Complex Dynamics by Yunping Jiang Pdf

About one and a half decades ago, Feigenbaum observed that bifurcations, from simple dynamics to complicated ones, in a family of folding mappings like quadratic polynomials follow a universal rule (Coullet and Tresser did some similar observation independently). This observation opened a new way to understanding transition from nonchaotic systems to chaotic or turbulent system in fluid dynamics and many other areas. The renormalization was used to explain this observed universality. This research monograph is intended to bring the reader to the frontier of this active research area which is concerned with renormalization and rigidity in real and complex one-dimensional dynamics. The research work of the author in the past several years will be included in this book. Most recent results and techniques developed by Sullivan and others for an understanding of this universality as well as the most basic and important techniques in the study of real and complex one-dimensional dynamics will also be included here.

Author : Walter Lacarbonara,Balakumar Balachandran,Jun Ma,J. A. Tenreiro Machado,Gabor Stepan
Publisher : Springer Nature
Page : 350 pages
File Size : 55,6 Mb
Release : 2020-01-27
Category : Science
ISBN : 9783030347246

Get Book

New Trends in Nonlinear Dynamics by Walter Lacarbonara,Balakumar Balachandran,Jun Ma,J. A. Tenreiro Machado,Gabor Stepan Pdf

This third of three volumes from the inaugural NODYCON, held at the University of Rome, in February of 2019, presents papers devoted to New Trends in Nonlinear Dynamics. The collection features both well-established streams of research as well as novel areas and emerging fields of investigation. Topics in Volume III include NEMS/MEMS and nanomaterials: multi-sensors, actuators exploiting nonlinear working principles; adaptive, multifunctional, and meta material structures; nanocomposite structures (e.g., carbon nanotube/polymer composites, composites with functionalized nanoparticles); 0D,1D,2D,3D nanostructures; biomechanics applications, DNA modeling, walking dynamics, heart dynamics, neurodynamics, capsule robots, jellyfish-like robots, nanorobots; cryptography based on chaotic maps; ecosystem dynamics, social media dynamics (user behavior dynamics in multi-messages social hotspots, prediction models), financial engineering, complexity in engineering; and network dynamics (multi-agent systems, leader-follower dynamics, swarm dynamics, biological networks dynamics).

Author : Lacomba Ernesto A,Llibre Jaume
Publisher : #N/A
Page : 408 pages
File Size : 44,6 Mb
Release : 1996-07-03
Category : Electronic
ISBN : 9789814547901

Get Book

New Trends For Hamiltonian Systems And Celestial Mechanics by Lacomba Ernesto A,Llibre Jaume Pdf

This volume puts together several important lectures on the Hamiltonian Systems and Celestial Mechanics to form a comprehensive and authoritative collection of works on the subject. Their relationship to several aspects of topology, mechanics and dynamical systems in general are also emphasized. The papers presented are an outgrowth of the lectures that took place during the “International Symposium on Hamiltonian Systems and Celestial Mechanics ”, which was held at Cocoyoc (Morelos, México) from September 13 to 17, 1994.

Author : Lluís Alsedà,Jaume Llibre,Michal Misiurewicz
Publisher : World Scientific Publishing Company
Page : 432 pages
File Size : 51,7 Mb
Release : 2000-10-31
Category : Science
ISBN : 9789813105591

Get Book

Combinatorial Dynamics and Entropy in Dimension One by Lluís Alsedà,Jaume Llibre,Michal Misiurewicz Pdf

This book introduces the reader to the two main directions of one-dimensional dynamics. The first has its roots in the Sharkovskii theorem, which describes the possible sets of periods of all cycles (periodic orbits) of a continuous map of an interval into itself. The whole theory, which was developed based on this theorem, deals mainly with combinatorial objects, permutations, graphs, etc.; it is called combinatorial dynamics. The second direction has its main objective in measuring the complexity of a system, or the degree of “chaos” present in it; for that the topological entropy is used. The book analyzes the combinatorial dynamics and topological entropy for the continuous maps of either an interval or the circle into itself.

Author : Henk Bruin
Publisher : American Mathematical Society
Page : 481 pages
File Size : 45,5 Mb
Release : 2023-01-20
Category : Mathematics
ISBN : 9781470469849

Get Book

Topological and Ergodic Theory of Symbolic Dynamics by Henk Bruin Pdf

Symbolic dynamics is essential in the study of dynamical systems of various types and is connected to many other fields such as stochastic processes, ergodic theory, representation of numbers, information and coding, etc. This graduate text introduces symbolic dynamics from a perspective of topological dynamical systems and presents a vast variety of important examples. After introducing symbolic and topological dynamics, the core of the book consists of discussions of various subshifts of positive entropy, of zero entropy, other non-shift minimal action on the Cantor set, and a study of the ergodic properties of these systems. The author presents recent developments such as spacing shifts, square-free shifts, density shifts, $mathcal{B}$-free shifts, Bratteli-Vershik systems, enumeration scales, amorphic complexity, and a modern and complete treatment of kneading theory. Later, he provides an overview of automata and linguistic complexity (Chomsky's hierarchy). The necessary background for the book varies, but for most of it a solid knowledge of real analysis and linear algebra and first courses in probability and measure theory, metric spaces, number theory, topology, and set theory suffice. Most of the exercises have solutions in the back of the book.

Author : James Robinson,Paul Glendinning
Publisher : Springer Science & Business Media
Page : 240 pages
File Size : 45,5 Mb
Release : 2001-05-31
Category : Mathematics
ISBN : 0792369750

Get Book

From Finite to Infinite Dimensional Dynamical Systems by James Robinson,Paul Glendinning Pdf

This volume contains six papers originally presented at a NATO Advanced Study Institute held in Cambridge, U.K. in 1995 on the fundamental properties of partial differential equations and modeling processes involving spatial dynamics. The contributors, from academic institutions in Europe and the U.S., discuss such topics as lattice dynamical systems, low-dimensional models of turbulence, and nonlinear dynamics of extended systems. The volume is not indexed. c. Book News Inc.

Author : Claude Diebolt,Catherine Kyrtsou
Publisher : Springer Science & Business Media
Page : 244 pages
File Size : 46,7 Mb
Release : 2005-11-21
Category : Business & Economics
ISBN : 9783540285564

Get Book

New Trends in Macroeconomics by Claude Diebolt,Catherine Kyrtsou Pdf

This text provides a new approach to the subject, including a comprehensive survey of novel theoretical approaches, methods, and models used in macroeconomics and macroeconometrics. The book gives extensive insight into economic policy, incorporates a strong international perspective, and offers a broad historical perspective.

Author : Jan Awrejcewicz,Rajasekar Shanmuganathan,Minvydas Ragulskis
Publisher : World Scientific
Page : 561 pages
File Size : 45,7 Mb
Release : 2021-07-26
Category : Science
ISBN : 9789811221910

Get Book

Recent Trends In Chaotic, Nonlinear And Complex Dynamics by Jan Awrejcewicz,Rajasekar Shanmuganathan,Minvydas Ragulskis Pdf

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.

Author : Edson de Faria,Welington de Melo
Publisher : Cambridge University Press
Page : 192 pages
File Size : 47,9 Mb
Release : 2008-10-02
Category : Mathematics
ISBN : 9781139474849

Get Book

Mathematical Tools for One-Dimensional Dynamics by Edson de Faria,Welington de Melo Pdf

Originating with the pioneering works of P. Fatou and G. Julia, the subject of complex dynamics has seen great advances in recent years. Complex dynamical systems often exhibit rich, chaotic behavior, which yields attractive computer generated pictures, for example the Mandelbrot and Julia sets, which have done much to renew interest in the subject. This self-contained book discusses the major mathematical tools necessary for the study of complex dynamics at an advanced level. Complete proofs of some of the major tools are presented; some, such as the Bers-Royden theorem on holomorphic motions, appear for the very first time in book format. An appendix considers Riemann surfaces and Teichmüller theory. Detailing the very latest research, the book will appeal to graduate students and researchers working in dynamical systems and related fields. Carefully chosen exercises aid understanding and provide a glimpse of further developments in real and complex one-dimensional dynamics.