Elegant Chaos

Author : Julien C. Sprott
Publisher : World Scientific
ISBN 13 : 9812838821
Total Pages : 302 pages
Book Rating : 4.27/5 ( download)

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Download or read book Elegant Chaos written by Julien C. Sprott and published by World Scientific. This book was released on 2010 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Publisher :
ISBN 13 : 9814468673
Total Pages : pages
Book Rating : 4.71/5 ( download)

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Download or read book Elegant Chaos written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Marat Akhmet
Publisher : Springer
ISBN 13 : 3662475006
Total Pages : 457 pages
Book Rating : 4.03/5 ( download)

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Download or read book Replication of Chaos in Neural Networks, Economics and Physics written by Marat Akhmet and published by Springer. This book was released on 2015-08-13 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 1647123240
Total Pages : 284 pages
Book Rating : 4.46/5 ( download)

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Download or read book Nothing Is Beyond Our Reach written by Kristie Macrakis and published by Georgetown University Press. This book was released on 2023-04-03 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : Springer
ISBN 13 : 331918105X
Total Pages : 219 pages
Book Rating : 4.59/5 ( download)

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Download or read book A Route to Chaos Using FPGAs written by Bharathwaj Muthuswamy and published by Springer. This book was released on 2015-06-18 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Eryn Stansfield
Publisher :
ISBN 13 : 9781947966444
Total Pages : 112 pages
Book Rating : 4.48/5 ( download)

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Download or read book Elegant Chaos written by Eryn Stansfield and published by . This book was released on 2021-02-09 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Julien Clinton Sprott
Publisher : World Scientific Publishing Company
ISBN 13 : 9789813203549
Total Pages : 304 pages
Book Rating : 4.44/5 ( download)

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Download or read book Elegant Chaos written by Julien Clinton Sprott and published by World Scientific Publishing Company. This book was released on 2010-04 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : MDPI
ISBN 13 : 3038978981
Total Pages : 290 pages
Book Rating : 4.85/5 ( download)

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Download or read book Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors written by Christos Volos and published by MDPI. This book was released on 2019-05-03 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110472090
Total Pages : 392 pages
Book Rating : 4.97/5 ( download)

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Download or read book Fractional Dynamics written by Carlo Cattani and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-01-01 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : CRC Press
ISBN 13 : 1351849727
Total Pages : 261 pages
Book Rating : 4.22/5 ( download)

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Download or read book Essentials of Nonlinear Circuit Dynamics with MATLAB® and Laboratory Experiments written by Arturo Buscarino and published by CRC Press. This book was released on 2017-04-07 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.