Elegant Chaos

Author : Julien C. Sprott
Publisher : World Scientific
Page : 302 pages
File Size : 40,5 Mb
Release : 2010
Category : Mathematics
ISBN : 9789812838827

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Elegant Chaos by Julien C. Sprott Pdf

1. Fundamentals. 1.1. Dynamical systems. 1.2. State space. 1.3. Dissipation. 1.4. Limit cycles. 1.5. Chaos and strange attractors. 1.6. Poincaré sections and fractals. 1.7. Conservative chaos. 1.8. Two-toruses and quasiperiodicity. 1.9. Largest Lyapunov exponent. 1.10. Lyapunov exponent spectrum. 1.11. Attractor dimension. 1.12. Chaotic transients. 1.13. Intermittency. 1.14. Basins of attraction. 1.15. Numerical methods. 1.16. Elegance -- 2. Periodically forced systems. 2.1. Van der Pol oscillator. 2.2. Rayleigh oscillator. 2.3. Rayleigh oscillator variant. 2.4. Duffing oscillator. 2.5. Quadratic oscillators. 2.6. Piecewise-linear oscillators. 2.7. Signum oscillators. 2.8. Exponential oscillators. 2.9. Other undamped oscillators. 2.10. Velocity forced oscillators. 2.11. Parametric oscillators. 2.12. Complex oscillators -- 3. Autonomous dissipative systems. 3.1. Lorenz system. 3.2. Diffusionless Lorenz system. 3.3. Rs̈sler system. 3.4. Other quadratic systems. 3.5. Jerk systems. 3.6. Circulant systems. 3.7. Other systems -- 4. Autonomous Conservative Systems. 4.1. Nosé-Hoover oscillator. 4.2. Nosé-Hoover variants. 4.3. Jerk systems. 4.4. Circulant systems -- 5. Low-dimension systems (D3). 5.1. Dixon system. 5.2. Dixon variants. 5.3. Logarithmic case. 5.4. Other cases -- 6. High-dimensional systems (D3). 6.1. Periodically forced systems. 6.2. Master-slave oscillators. 6.3. Mutually coupled nonlinear oscillators. 6.4. Hamiltonian systems. 6.5. Anti-Newtonian systems. 6.6. Hyperjerk systems. 6.7. Hyperchaotic systems. 6.8. Autonomous complex systems. 6.9. Lotka-Volterra systems. 6.10. Artificial neural networks -- 7. Circulant systems. 7.1. Lorenz-Emanuel system. 7.2. Lotka-Volterra systems. 7.3. Antisymmetric quadratic system. 7.4. Quadratic ring system. 7.5. Cubic ring system. 7.6. Hyperlabyrinth system. 7.7. Circulant neural networks. 7.8. Hyperviscous ring. 7.9. Rings of oscillators. 7.10. Star systems -- 8. Spatiotemporal systems. 8.1. Numerical methods. 8.2. Kuramoto-Sivashinsky equation. 8.3. Kuramoto-Sivashinsky variants. 8.4. Chaotic traveling waves. 8.5. Continuum ring systems. 8.6. Traveling wave variants -- 9. Time-delay systems. 9.1. Delay differential equations. 9.2. Mackey-Glass equation. 9.3. Ikeda DDE. 9.4. Sinusoidal DDE. 9.5. Polynomial DDE. 9.6. Sigmoidal DDE. 9.7. Signum DDE. 9.8. Piecewise-linear DDEs. 9.9. Asymmetric logistic DDE with continuous delay -- 10. Chaotic electrical circuits. 10.1. Circuit elegance. 10.2. Forced relaxation oscillator. 10.3. Autonomous relaxation oscillator. 10.4. Coupled relaxation oscillators. 10.5. Forced diode resonator. 10.6. Saturating inductor circuit. 10.7. Forced piecewise-linear circuit. 10.8. Chua's circuit. 10.9. Nishio's circuit. 10.10. Wien-bridge oscillator. 10.11. Jerk circuits. 10.12. Master-slave oscillator. 10.13. Ring of oscillators. 10.14. Delay-line oscillator

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 41,8 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9789814468671

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Elegant Chaos by Anonim Pdf

Author : Marat Akhmet,Mehmet Onur Fen
Publisher : Springer
Page : 457 pages
File Size : 45,7 Mb
Release : 2015-08-13
Category : Science
ISBN : 9783662475003

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Replication of Chaos in Neural Networks, Economics and Physics by Marat Akhmet,Mehmet Onur Fen Pdf

This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever book to consider chaos as an input for differential and hybrid equations. Chaotic sets and chaotic functions are used as inputs for systems with attractors: equilibrium points, cycles and tori. The findings strongly suggest that chaos theory can proceed from the theory of differential equations to a higher level than previously thought. The approach selected is conducive to the in-depth analysis of different types of chaos. The appearance of deterministic chaos in neural networks, economics and mechanical systems is discussed theoretically and supported by simulations. As such, the book offers a valuable resource for mathematicians, physicists, engineers and economists studying nonlinear chaotic dynamics.

Author : Kristie Macrakis
Publisher : Georgetown University Press
Page : 284 pages
File Size : 51,5 Mb
Release : 2023-04-03
Category : Political Science
ISBN : 9781647123246

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Nothing Is Beyond Our Reach by Kristie Macrakis Pdf

An eye-opening account of the perils of America’s techno-spy empire Ever since the earliest days of the Cold War, American intelligence agencies have launched spies in the sky, implanted spies in the ether, burrowed spies underground, sunk spies in the ocean, and even tried to control spies’ minds by chemical means. But these weren’t human spies. Instead, the United States expanded its reach around the globe through techno-spies. Nothing Is Beyond Our Reach investigates how America’s technophiles inadvertently created a global espionage empire: one based on technology, not land. Author Kristie Macrakis shows how in the process of staking out the globe through technology, US intelligence created the ability to collect a massive amount of data. But did it help? Featuring the sites visited during her research and stories of the people who created the techno-spy empire, Macrakis guides the reader from its conception in the 1950s to its global reach in the Cold War and Global War on Terror. In an age of ubiquitous technology, Nothing Is Beyond Our Reach exposes the perils of relying too much on technology while demonstrating how the US carried on the tradition of British imperial espionage. Readers interested in the history of espionage and technology as well as those who work in the intelligence field will find the revelations and insights in Nothing Is Beyond Our Reach fascinating and compelling.

Author : Bharathwaj Muthuswamy,Santo Banerjee
Publisher : Springer
Page : 219 pages
File Size : 54,8 Mb
Release : 2015-06-18
Category : Technology & Engineering
ISBN : 9783319181059

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A Route to Chaos Using FPGAs by Bharathwaj Muthuswamy,Santo Banerjee Pdf

The purpose of this introductory book is to couple the teaching of chaotic circuit and systems theory with the use of field programmable gate arrays (FPGAs). As such, it differs from other texts on chaos: first, it puts emphasis on combining theoretical methods, simulation tools and physical realization to help the reader gain an intuitive understanding of the properties of chaotic systems. Second, the "medium" used for physical realization is the FPGA. These devices are massively parallel architectures that can be configured to realize a variety of logic functions. Hence, FPGAs can be configured to emulate systems of differential equations. Nevertheless maximizing the capabilities of an FPGA requires the user to understand the underlying hardware and also FPGA design software. This is achieved by the third distinctive feature of this book: a lab component in each chapter. Here, readers are asked to experiment with computer simulations and FPGA designs, to further their understanding of concepts covered in the book. This text is intended for graduate students in science and engineering interested in exploring implementation of nonlinear dynamical (chaotic) systems on FPGAs.

Author : Julien Clinton Sprott
Publisher : World Scientific Publishing Company
Page : 304 pages
File Size : 43,7 Mb
Release : 2010-04
Category : Mathematics
ISBN : 9813203544

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Elegant Chaos by Julien Clinton Sprott Pdf

This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, ROssler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to chaos. The book includes many cases not previously published as well as examples of simple electronic circuits that exhibit chaos. No existing book thus far focuses on mathematically elegant chaotic systems. This book should therefore be of interest to chaos researchers looking for simple systems to use in their studies, to instructors who want examples to teach and motivate students, and to students doing independent study.

Author : Christos Volos,Sajad Jafari,Jacques Kengne,Jesus M. Munoz-Pacheco,Karthikeyan Rajagopal
Publisher : MDPI
Page : 290 pages
File Size : 52,8 Mb
Release : 2019-05-03
Category : Technology & Engineering
ISBN : 9783038978985

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Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors by Christos Volos,Sajad Jafari,Jacques Kengne,Jesus M. Munoz-Pacheco,Karthikeyan Rajagopal Pdf

In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors. The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters. This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors.

Author : Carlo Cattani,Hari M. Srivastava,Xiao-Jun Yang
Publisher : Walter de Gruyter GmbH & Co KG
Page : 392 pages
File Size : 47,7 Mb
Release : 2015-01-01
Category : Mathematics
ISBN : 9783110472097

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Fractional Dynamics by Carlo Cattani,Hari M. Srivastava,Xiao-Jun Yang Pdf

The book is devoted to recent developments in the theory of fractional calculus and its applications. Particular attention is paid to the applicability of this currently popular research field in various branches of pure and applied mathematics. In particular, the book focuses on the more recent results in mathematical physics, engineering applications, theoretical and applied physics as quantum mechanics, signal analysis, and in those relevant research fields where nonlinear dynamics occurs and several tools of nonlinear analysis are required. Dynamical processes and dynamical systems of fractional order attract researchers from many areas of sciences and technologies, ranging from mathematics and physics to computer science.

Author : Arturo Buscarino,Luigi Fortuna,Mattia Frasca
Publisher : CRC Press
Page : 261 pages
File Size : 41,7 Mb
Release : 2017-04-07
Category : Technology & Engineering
ISBN : 9781351849722

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Essentials of Nonlinear Circuit Dynamics with MATLAB® and Laboratory Experiments by Arturo Buscarino,Luigi Fortuna,Mattia Frasca Pdf

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.

Author : Ahmad Taher Azar,Sundarapandian Vaidyanathan
Publisher : Springer
Page : 873 pages
File Size : 40,8 Mb
Release : 2016-04-15
Category : Technology & Engineering
ISBN : 9783319303406

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Advances in Chaos Theory and Intelligent Control by Ahmad Taher Azar,Sundarapandian Vaidyanathan Pdf

The book reports on the latest advances in and applications of chaos theory and intelligent control. Written by eminent scientists and active researchers and using a clear, matter-of-fact style, it covers advanced theories, methods, and applications in a variety of research areas, and explains key concepts in modeling, analysis, and control of chaotic and hyperchaotic systems. Topics include fractional chaotic systems, chaos control, chaos synchronization, memristors, jerk circuits, chaotic systems with hidden attractors, mechanical and biological chaos, and circuit realization of chaotic systems. The book further covers fuzzy logic controllers, evolutionary algorithms, swarm intelligence, and petri nets among other topics. Not only does it provide the readers with chaos fundamentals and intelligent control-based algorithms; it also discusses key applications of chaos as well as multidisciplinary solutions developed via intelligent control. The book is a timely and comprehensive reference guide for graduate students, researchers, and practitioners in the areas of chaos theory and intelligent control.

Author : Eryn Stansfield
Publisher : Unknown
Page : 112 pages
File Size : 53,9 Mb
Release : 2021-02-09
Category : Biography & Autobiography
ISBN : 1947966448

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Elegant Chaos by Eryn Stansfield Pdf

At the age of fourteen, Eryn starts college with the dream of becoming a physician. Until, two years later, her world is shattered by a cancer diagnosis, forcing her to reexamine her short life. She also can't help agonizing over the loss of all her beautiful, long hair. Previously immersed in her books and studies, Eryn wants more than anything to be given a second chance to live the life she has only read and dreamed about. But, as she lies in her hospital bed, all the bargaining in the world can't negotiate with this death sentence. Her memoir, Elegant Chaos, is the tale of how the dire events in Eryn's diagnosis combine to mold a beautiful and meaningful existence for one girl's life story.

Author : Kathleen Armour,Doune Macdonald
Publisher : Routledge
Page : 366 pages
File Size : 50,8 Mb
Release : 2012-03-15
Category : Education
ISBN : 9781136660597

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Research Methods in Physical Education and Youth Sport by Kathleen Armour,Doune Macdonald Pdf

This is the first research methods book to focus entirely on physical education and youth sport. It guides the reader through the whole research process; from the first steps to completion of a dissertation or practice-based project, and introduces key topics such as:formulating a research questionqualitative approachesquantitative approachesmixed method researchliterature reviewcase studiessurvey, interviews and focus groupsdata analysiswriting the dissertation.Each chapter includes a.

Author : Jan Awrejcewicz,Anton V. Krysko,Maxim V. Zhigalov,Vadim A. Krysko
Publisher : Springer Nature
Page : 419 pages
File Size : 47,8 Mb
Release : 2020-10-08
Category : Technology & Engineering
ISBN : 9783030559939

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Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields by Jan Awrejcewicz,Anton V. Krysko,Maxim V. Zhigalov,Vadim A. Krysko Pdf

This book is devoted to researchers and teachers, as well as graduate students, undergraduates and bachelors in engineering mechanics, nano-mechanics, nanomaterials, nanostructures and applied mathematics. It presents a collection of the latest developments in the field of nonlinear (chaotic) dynamics of mass distributed-parameter nanomechanical structures, providing a rigorous and comprehensive study of modeling nonlinear phenomena. It is written in a unique pedagogical style particularly suitable for independent study and self-education. In addition, the book achieves a good balance between Western and Eastern extensive studies of the mathematical problems of nonlinear vibrations of structural members.

Author : Sundarapandian Vaidyanathan,Ahmad Taher Azar
Publisher : Academic Press
Page : 542 pages
File Size : 52,9 Mb
Release : 2020-08-15
Category : Technology & Engineering
ISBN : 9780128175835

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Backstepping Control of Nonlinear Dynamical Systems by Sundarapandian Vaidyanathan,Ahmad Taher Azar Pdf

Backstepping Control of Nonlinear Dynamical Systems addresses both the fundamentals of backstepping control and advances in the field. The latest techniques explored include ‘active backstepping control’, ‘adaptive backstepping control’, ‘fuzzy backstepping control’ and ‘adaptive fuzzy backstepping control’. The reference book provides numerous simulations using MATLAB and circuit design. These illustrate the main results of theory and applications of backstepping control of nonlinear control systems. Backstepping control encompasses varied aspects of mechanical engineering and has many different applications within the field. For example, the book covers aspects related to robot manipulators, aircraft flight control systems, power systems, mechanical systems, biological systems and chaotic systems. This multifaceted view of subject areas means that this useful reference resource will be ideal for a large cross section of the mechanical engineering community. Details the real-world applications of backstepping control Gives an up-to-date insight into the theory, uses and application of backstepping control Bridges the gaps for different fields of engineering, including mechanical engineering, aeronautical engineering, electrical engineering, communications engineering, robotics and biomedical instrumentation

Author : Court Carney
Publisher : Unknown
Page : 240 pages
File Size : 43,8 Mb
Release : 2009
Category : History
ISBN : UOM:39015084176661

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Cuttin' Up by Court Carney Pdf

Reveals how the new technologies of mass culture--the phonograph, radio, and film--played a key role in accelerating the diffusion of jazz as a modernist art form across the nation's racial divide. Focuses on four cities--New Orleans, New York, Chicago, and Los Angeles--to show how each city produced a distinctive style of jazz.