Essential Elements Of Nonlinearity Bifurcation And Chaos Theory
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Essential Elements Of Nonlinearity Bifurcation And Chaos Theory
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Author : Frank Scott
language : en
Publisher: States Academic Press
Release Date : 2021-11-16
Essential Elements Of Nonlinearity Bifurcation And Chaos Theory written by Frank Scott and has been published by States Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-16 with Mathematics categories.
The three common features exhibited by both natural and technological processes are nonlinearity, bifurcation and chaos theory. Floquet exponents and bifurcations in switched converters, dynamics of a pendulum of variable length, mathematical modeling, and non-linearity in structural dynamics are some of the significant concepts in this area of study. The mathematical study of changes in the qualitative structure of a given family and solutions of family of differential equations is referred as bifurcation theory. The branch of mathematics which deals with the study of chaos in dynamical systems where the irregularities and random states of disorder are governed by underlying patterns and deterministic laws is termed as chaos theory. The book presents researches and studies performed by experts across the globe. It includes some of the vital pieces of work being conducted across the world, on various topics related to essential elements of nonlinearity, bifurcation and chaos theory. This book is a resource guide for experts as well as students.
Nonlinear Dynamics And Chaos
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Author : Steven H. Strogatz
language : en
Publisher: CRC Press
Release Date : 2018-05-04
Nonlinear Dynamics And Chaos written by Steven H. Strogatz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Elements Of Applied Bifurcation Theory
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Author : Yuri Kuznetsov
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-06-29
Elements Of Applied Bifurcation Theory written by Yuri 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 2004-06-29 with Mathematics categories.
Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.
Essentials Of Nonlinear Circuit Dynamics With Matlab And Laboratory Experiments
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Author : Arturo Buscarino
language : en
Publisher: CRC Press
Release Date : 2017-04-07
Essentials Of Nonlinear Circuit Dynamics With Matlab And Laboratory Experiments written by Arturo Buscarino and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-07 with Technology & Engineering categories.
This book deals with nonlinear dynamics of electronic circuits, which could be used in robot control, secure communications, sensors and synchronized networks. The genesis of the content is related to a course on complex adaptive systems that has been held at the University of Catania since 2005. The efforts are devoted in order to emulate with nonlinear electronic circuits nonlinear dynamics. Step-by-step methods show the essential concepts of complex systems by using the Varela diagrams and accompanying MATLAB® exercises to reinforce new information. Special attention has been devoted to chaotic systems and networks of chaotic circuits by exploring the fundamentals, such as synchronization and control. The aim of the book is to give to readers a comprehensive view of the main concepts of nonlinear dynamics to help them better understand complex systems and their control through the use of electronics devices.
Methods Of Qualitative Theory In Nonlinear Dynamics
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Author : Leonid P. Shilnikov
language : en
Publisher: World Scientific
Release Date : 1998
Methods Of Qualitative Theory In Nonlinear Dynamics written by Leonid P. Shilnikov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Science categories.
Bifurcation and Chaos has dominated research in nonlinear dynamics for over two decades and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book is written to serve the above unfulfilled need. Following the footsteps of Poincare, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in this book were developed only recently and have not yet appeared in a textbook form. In keeping with the self-contained nature of this book, all topics are developed with an introductory background and complete mathematical rigor. Generously illustrated and written with a high level of exposition, this book will appeal to both beginners and advanced studentsof nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject.
Stability Instability And Chaos
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Author : Paul Glendinning
language : en
Publisher: Cambridge University Press
Release Date : 1994-11-25
Stability Instability And Chaos written by Paul Glendinning 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 1994-11-25 with Mathematics categories.
An introduction to nonlinear differential equations which equips undergraduate students with the know-how to appreciate stability theory and bifurcation.
The Shock And Vibration Digest
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Author :
language : en
Publisher:
Release Date : 1993
The Shock And Vibration Digest written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Shock (Mechanics) categories.
Handbook Of Development Policy Studies
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Author : Gedeon M. Mudacumura
language : en
Publisher: Taylor & Francis
Release Date : 2004-04-23
Handbook Of Development Policy Studies written by Gedeon M. Mudacumura and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-23 with Political Science categories.
Considering the current challenges to human progress, this reference book examines recent theories, policies, and sectoral priorities, as well as various social, economic, and administrative factors that impact worldwide modernization and development. The book emphasizes the fact that communities must evaluate continuously and adjust their program
Applications Of Chaos And Nonlinear Dynamics In Engineering
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Author : Santo Banerjee
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-10
Applications Of Chaos And Nonlinear Dynamics In Engineering written by Santo Banerjee 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 2011-09-10 with Technology & Engineering categories.
Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role. This volume concentrates on reviewing the most relevant contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering. The book covers the theory as applied to robotics, electronic and communication engineering (for example chaos synchronization and cryptography) as well as to civil and mechanical engineering, where its use in damage monitoring and control is explored). Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications
Mathematical Theories In Strategic Decisions
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Author : Gaurav Garg
language : en
Publisher: Gaurav Garg
Release Date :
Mathematical Theories In Strategic Decisions written by Gaurav Garg and has been published by Gaurav Garg this book supported file pdf, txt, epub, kindle and other format this book has been release on with Business & Economics categories.
Welcome to a journey through the fascinating world of decision-making, where mathematics and technology converge to illuminate the path forward. This book, "Mathematical Theories in Strategic Decisions," is your guide to the mathematical underpinnings of decision-making processes that shape our lives, from business strategies that drive economies to healthcare decisions that impact our well-being. In the pages that follow, you'll embark on a quest to unravel the mysteries of mathematical theories and witness their transformative power in action. Each chapter is a portal into a different dimension of decision intelligence, offering you a front-row seat to the intricate dance of numbers, algorithms, and real-world applications. From the classical elegance of Game Theory to the probabilistic precision of Bayesian Statistics, from the structured clarity of Decision Trees to the computational marvel of Monte Carlo Simulation, and finally, to the cutting-edge frontiers of Artificial Intelligence and Machine Learning, you'll explore the full spectrum of mathematical tools that empower decision-makers to navigate complexity and uncertainty. Through immersive case studies, practical examples, and human-like narrative, you'll meet professionals like Dr. Sarah, Emily, and Dr. Mia who harness the power of mathematics to make decisions that matter. You'll witness how mathematical theories optimize business strategies, streamline operations, diagnose diseases, manage risks, and revolutionize healthcare. But this journey is not merely about the mechanics of mathematics; it's about the profound impact it has on our world. It's about enabling us to make better decisions, to allocate resources efficiently, to mitigate risks, and to unlock the doors of innovation and discovery. It's about illuminating the dark corners of uncertainty and guiding us toward informed choices. As you turn the pages of this book, may you find inspiration in the elegance of mathematical theories and the ingenuity of human minds. May you discover that in the intricate dance of numbers, we find the compass to navigate the intricate landscape of decisions.