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Symmetry In Complex Systems

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Symmetry In Complex Systems

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Author : J. A. Tenreiro Machado
language : en
Publisher:
Release Date : 2020

Symmetry In Complex Systems written by J. A. Tenreiro Machado and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.

Complex systems with symmetry arise in many fields, at various length scales, including financial markets, social, transportation, telecommunication and power grid networks, world and country economies, ecosystems, molecular dynamics, immunology, living organisms, computational systems, and celestial and continuum mechanics. The emergence of new orders and structures in complex systems means symmetry breaking and transitions from unstable to stable states. Modeling complexity has attracted many researchers from different areas, dealing both with theoretical concepts and practical applications. This Special Issue fills the gap between the theory of symmetry-based dynamics and its application to model and analyze complex systems.

Symmetry In Complex Network Systems

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Author : Visarath In
language : en
Publisher: Springer
Release Date : 2017-09-05

Symmetry In Complex Network Systems written by Visarath In and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-05 with Technology & Engineering categories.

This book bridges the current gap between the theory of symmetry-based dynamics and its application to model and analyze complex systems. As an alternative approach, the authors use the symmetry of the system directly to formulate the appropriate models, and also to analyze the dynamics. Complex systems with symmetry arise in a wide variety of fields, including communication networks, molecular dynamics, manufacturing businesses, ecosystems, underwater vehicle dynamics, celestial and spacecraft dynamics and continuum mechanics. A general approach for their analysis has been to derive a detailed model of their individual parts, connect the parts and note that the system contains some sort of symmetry, then attempt to exploit this symmetry in order to simplify numerical computations. This approach can result in highly complicated models that are difficult to analyze even numerically. The alternative approach, while nonstandard, is not entirely new among the mathematics community. However, there is much less familiarity with the techniques of symmetry-breaking bifurcation, as they apply to the engineering, design and fabrication, of complex systems, in particular, nonlinear sensor devices with special emphasis on the conceptualization and development of new technologies of magnetic sensors such as fluxgate magnetometers and SQUID (Superconducting Quantum Interference Devices), E-- (electric-field) sensors, and communication and navigation systems that require multiple frequencies of operation, such as radar and antenna devices as well as gyroscopic systems.

Symmetry In Complex Systems

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Author : J. A. Tenreiro Machado
language : en
Publisher: MDPI
Release Date : 2021-01-21

Symmetry In Complex Systems written by J. A. Tenreiro Machado and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-21 with Technology & Engineering categories.

Symmetry And The Continuous Group

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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-10

Symmetry And The Continuous Group written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-10 with Mathematics categories.

Embark on an intellectual journey into the captivating world of symmetry, a fundamental principle that governs the structure and behavior of the universe. From the intricate patterns of nature to the complex designs of human creations, symmetry manifests itself in countless forms, offering a profound insight into the underlying order and harmony of all things. In this comprehensive and accessible book, we delve into the fascinating world of symmetry, exploring its diverse manifestations across various scientific disciplines. Drawing on cutting-edge research and historical perspectives, we uncover the rich tapestry of symmetry's role in shaping our understanding of the cosmos. From the symmetry of snowflakes to the symmetry of galaxies, from the symmetry of molecules to the symmetry of equations, we embark on a journey that reveals the profound influence of this fundamental concept on our perception of reality. Beyond its theoretical underpinnings, symmetry has far-reaching practical applications that span a wide range of fields. In engineering, symmetry plays a critical role in ensuring the stability and efficiency of structures, from bridges and buildings to aircraft and spacecraft. In biology, symmetry is essential for understanding the structure and function of living organisms, offering insights into the intricate workings of cells, tissues, and organs. In art and design, symmetry has been harnessed for centuries to create visually appealing and aesthetically pleasing compositions. Our exploration of symmetry extends beyond the realm of mathematics and science, delving into its philosophical implications and its profound impact on our perception of the world. We examine the relationship between symmetry and beauty, exploring the enduring allure of symmetrical forms and patterns throughout history and across cultures. We also consider the psychological and cognitive aspects of symmetry, investigating how our brains perceive and respond to symmetrical stimuli. Whether you are a student, a researcher, an artist, or simply someone with a curious mind, this book offers a wealth of insights and perspectives on one of the most fundamental and pervasive concepts in the universe. As we unravel the mysteries of symmetry, we gain a deeper appreciation for the interconnectedness of all things and the boundless creativity that shapes our world. If you like this book, write a review!

Unifying Themes In Complex Systems X

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Author : Dan Braha
language : en
Publisher: Springer Nature
Release Date : 2021-06-14

Unifying Themes In Complex Systems X written by Dan Braha and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-14 with Mathematics categories.

The International Conference on Complex Systems (ICCS) offers a unique interdisciplinary venue for researchers from the physical and biological sciences, social sciences, psychology and cognitive science, engineering, medicine, human systems, and global systems. This proceedings volume gathers selected papers from the conference. The New England Complex Systems Institute (NECSI) has been instrumental in the development of complex systems science and its applications. NECSI pursues research, education, knowledge dissemination, and community development efforts around the world to promote the study of complex systems and its application for the benefit of society. NECSI hosts the International Conference on Complex Systems and publishes the NECSI Book.

Symmetry And Complexity

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Author : Klaus Mainzer
language : en
Publisher: World Scientific
Release Date : 2005

Symmetry And Complexity written by Klaus Mainzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.

Cosmic evolution leads from symmetry to complexity by symmetry breaking and phase transitions. The emergence of new order and structure in nature and society is explained by physical, chemical, biological, social and economic self-organization, according to the laws of nonlinear dynamics. All these dynamical systems are considered computational systems processing information and entropy. Are symmetry and complexity only useful models of science or are they universals of reality? Symmetry and Complexity discusses the fascinating insights gained from natural, social and computer sciences, philosophy and the arts. With many diagrams and pictures, this book illustrates the spirit and beauty of nonlinear science. In the complex world of globalization, it strongly argues for unity in diversity.

Symmetries And Applications Of Differential Equations

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Author : Albert C. J. Luo
language : en
Publisher: Springer Nature
Release Date : 2021-12-14

Symmetries And Applications Of Differential Equations written by Albert C. J. Luo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-14 with Mathematics categories.

This book is about Lie group analysis of differential equations for physical and engineering problems. The topics include: -- Approximate symmetry in nonlinear physical problems -- Complex methods for Lie symmetry analysis -- Lie group classification, Symmetry analysis, and conservation laws -- Conservative difference schemes -- Hamiltonian structure and conservation laws of three-dimensional linear elasticity -- Involutive systems of partial differential equations This collection of works is written in memory of Professor Nail H. Ibragimov (1939–2018). It could be used as a reference book in differential equations in mathematics, mechanical, and electrical engineering.

Symmetries Unveiled

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Author : Oliver Vella
language : en
Publisher: eBookIt.com
Release Date : 2025-02-27

Symmetries Unveiled written by Oliver Vella and has been published by eBookIt.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-27 with Mathematics categories.

Exploring the Mysteries of Representation Theory Dive into the fascinating universe of symmetries and representations, where mathematics unravels the secrets of the universe. Symmetries Unveiled: A Journey Through Representation Theory invites readers on a thrilling expedition through the intricate landscape of mathematical theory and its profound impact on science. As you embark on this mathematical voyage, you'll uncover foundational concepts and historical development behind representation theory. From the elegant symmetries of groups to the groundbreaking applications of linear representations, this book is your gateway to a deeper understanding of the subject. Through chapters dedicated to Lie algebras, root systems, and quantum groups, the narrative weaves a tapestry of knowledge that connects abstract theory with real-world applications. Imagine navigating the compelling world of Kac-Moody algebras, discovering the role of crystal bases, and unlocking the mysteries of non-linear realisations. Each chapter promises to ignite curiosity with insights into symmetries in quantum mechanics and their implications in modern physics. Whether you're captivated by symmetry breaking or intrigued by the concept of duality, this book offers a profound exploration of these topics and more. Symmetries Unveiled is not just a book for mathematicians; it's a treasure trove for anyone passionate about the interplay between theory and application in theoretical physics. With chapters on computational approaches, educational techniques, and interdisciplinary impacts, it also serves as a comprehensive guide for educators and researchers alike. The culmination of the journey is an exploration of open problems and philosophical insights, paving the way for future exploration and discovery. Join this intellectual adventure and let Symmetries Unveiled transform your understanding of the mathematical principles that underpin the very fabric of reality.

Symmetry In Engineering Sciences Ii

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Author : Francisco G. Montoya
language : en
Publisher: MDPI
Release Date : 2020-12-16

Symmetry In Engineering Sciences Ii written by Francisco G. Montoya and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-16 with Technology & Engineering categories.

This book presents a sample of theoretical and practical advances in symmetry in multidisciplinary engineering applications. It covers several applications, such as mechanical analysis of tunnel lining, prediction methods for the ring damper used in gears, calibration methods for manipulators, design methods for wheel configurations of mobile robots, analysis of elastic plastic damaged zones, 3D printed corneal models, analysis of multibody system dynamic networks, structural elements in architecture, railway transportation, transportation of hazardous materials, cable-driven mechanisms, and image processing. The contributions included in this book describe the state-of-the-art advances in this field and demonstrate the possibilities of the study of symmetry in multidisciplinary applications in the field of engineering.

Stochastic Dynamics Of Complex Systems From Glasses To Evolution

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Author : Henrik Jeldtoft Jensen
language : en
Publisher: World Scientific Publishing Company
Release Date : 2013-02-20

Stochastic Dynamics Of Complex Systems From Glasses To Evolution written by Henrik Jeldtoft Jensen and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-20 with Science categories.

Dynamical evolution over long time scales is a prominent feature of all the systems we intuitively think of as complex — for example, ecosystems, the brain or the economy. In physics, the term ageing is used for this type of slow change, occurring over time scales much longer than the patience, or indeed the lifetime, of the observer. The main focus of this book is on the stochastic processes which cause ageing, and the surprising fact that the ageing dynamics of systems which are very different at the microscopic level can be treated in similar ways.The first part of this book provides the necessary mathematical and computational tools and the second part describes the intuition needed to deal with these systems. Some of the first few chapters have been covered in several other books, but the emphasis and selection of the topics reflect both the authors' interests and the overall theme of the book. The second part contains an introduction to the scientific literature and deals in some detail with the description of complex phenomena of a physical and biological nature, for example, disordered magnetic materials, superconductors and glasses, models of co-evolution in ecosystems and even of ant behaviour. These heterogeneous topics are all dealt with in detail using similar analytical techniques.This book emphasizes the unity of complex dynamics and provides the tools needed to treat a large number of complex systems of current interest. The ideas and the approach to complex dynamics it presents have not appeared in book form until now./a

Symmetry In Complex Systems

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