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Author: Thomas Lofaro
Publisher: CRC Press
Published: 2024-08-26
Total Pages: 0
ISBN-13: 9780367713768
DOWNLOAD EBOOKThe book differs from most texts on the topic by blending the use of computer simulations with inquiry-based learning (IBL). Students can discover examples and counterexamples through manipulations built into the software though a link to the website.
Author: Lawrence N. Virgin
Publisher: Cambridge University Press
Published: 2000-03-28
Total Pages: 270
ISBN-13: 9780521779319
DOWNLOAD EBOOKA case study in mechanical vibration introduces the subject of nonlinear dynamics and chaos.
Author: Robert L. Devaney
Publisher: Hachette UK
Published: 1992-10-21
Total Pages: 231
ISBN-13: 0813345472
DOWNLOAD EBOOKA First Course in Chaotic Dynamical Systems: Theory and Experiment is the first book to introduce modern topics in dynamical systems at the undergraduate level. Accessible to readers with only a background in calculus, the book integrates both theory and computer experiments into its coverage of contemporary ideas in dynamics. It is designed as a gradual introduction to the basic mathematical ideas behind such topics as chaos, fractals, Newton's method, symbolic dynamics, the Julia set, and the Mandelbrot set, and includes biographies of some of the leading researchers in the field of dynamical systems. Mathematical and computer experiments are integrated throughout the text to help illustrate the meaning of the theorems presented.Chaotic Dynamical Systems Software, Labs 1–6 is a supplementary laboratory software package, available separately, that allows a more intuitive understanding of the mathematics behind dynamical systems theory. Combined with A First Course in Chaotic Dynamical Systems, it leads to a rich understanding of this emerging field.
Author: Robert L. Devaney
Publisher: Addison Wesley Publishing Company
Published: 1990
Total Pages: 212
ISBN-13:
DOWNLOAD EBOOKIntroduces the mathematical topics of chaos, fractals, and dynamics using a combination of hands-on computer experimentation and precalculas mathmetics. A series of experiments produce fascinating computer graphics images of Julia sets, the Mandelbrot set, and fractals. The basic ideas of dynamics--chaos, iteration, and stability--are illustrated via computer projects.
Author: Vadim Semenovich Anishchenko
Publisher: World Scientific
Published: 1995
Total Pages: 410
ISBN-13: 9789810221423
DOWNLOAD EBOOKIn this book, bifurcational mechanisms of the development, structure and properties of chaotic attractors are investigated by numerical and physical experiments based on the methods of the modern theory of nonlinear oscillations. The typical bifurcations of regular and chaotic attractors which are due to parameter variations are analyzed.Regularities of the transition to chaos via the collapse of quasiperiodic oscillations with two and three frequencies are investigated in detail. The book deals with the problems of chaotic synchronization, interaction of attractors and the phenomenon of stochastic resonance. The problems of fluctuation influence on the bifurcations and properties of chaotic attractors are investigated more closely.All principal problems are investigated by the comparison of theoretical and numerical results and data from physical experiments.
Author: Arturo Buscarino
Publisher: CRC Press
Published: 2017-04-07
Total Pages: 261
ISBN-13: 1351849727
DOWNLOAD EBOOKThis 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: Srihari Keshavamurthy
Publisher: CRC Press
Published: 2011-03-09
Total Pages: 424
ISBN-13: 1439816662
DOWNLOAD EBOOKA prominent aspect of quantum theory, tunneling arises in a variety of contexts across several fields of study, including nuclear, atomic, molecular, and optical physics and has led to technologically relevant applications in mesoscopic science. Exploring mechanisms and consequences, Dynamical Tunneling: Theory and Experiment presents the work of i
Author: William S. Carlsen
Publisher: NSTA Press
Published: 2004
Total Pages: 91
ISBN-13: 1935155865
DOWNLOAD EBOOKWhether youOCOre a stream studies novice or a veteran aquatic monitor, Watershed Dynamics gives you abundant practical resources to extend your studentsOCO investigations into local water quality and land-use issues. This two-part set is ideal for teaching biological and ecological concepts and research techniques. It also shows how the interplay between scientific data and human judgment can shape public policy decisions on zoning, flood control, and agricultural practices."
Author: Lili Wang
Publisher: Academic Press
Published: 2019-07-25
Total Pages: 612
ISBN-13: 012817322X
DOWNLOAD EBOOKDynamics of Materials: Experiments, Models and Applications addresses the basic laws of high velocity flow/deformation and dynamic failure of materials under dynamic loading. The book comprehensively covers different perspectives on volumetric law, including its macro-thermodynamic basis, solid physics basis, related dynamic experimental study, distortional law, including the rate-dependent macro-distortional law reflecting strain-rate effect, its micro-mechanism based on dislocation dynamics, and dynamic experimental research based on the stress wave theory. The final section covers dynamic failure in relation to dynamic damage evolution, including the unloading failure of a crack-free body, dynamics of cracks under high strain-rate, and more. - Covers models for applications, along with the fundamentals of the mechanisms behind the models - Tackles the difficult interdisciplinary nature of the subject, combining macroscopic continuum mechanics with thermodynamics and macro-mechanics expression with micro-physical mechanisms - Provides a review of the latest experimental methods for the equation of state for solids under high pressure and the distortional law under high strain-rates of materials
Author: Thomas LoFaro
Publisher: CRC Press
Published: 2021-03-22
Total Pages: 216
ISBN-13: 1000358933
DOWNLOAD EBOOKDiscovering Dynamical Systems Through Experiment and Inquiry differs from most texts on dynamical systems by blending the use of computer simulations with inquiry-based learning (IBL). IBL is an excellent tool to move students from merely remembering the material to deeper understanding and analysis. This method relies on asking students questions first, rather than presenting the material in a lecture. Another unique feature of this book is the use of computer simulations. Students can discover examples and counterexamples through manipulations built into the software. These tools have long been used in the study of dynamical systems to visualize chaotic behavior. We refer to this unique approach to teaching mathematics as ECAP—Explore, Conjecture, Apply, and Prove. ECAP was developed to mimic the actual practice of mathematics in an effort to provide students with a more holistic mathematical experience. In general, each section begins with exercises guiding students through explorations of the featured concept and concludes with exercises that help the students formally prove the results. While symbolic dynamics is a standard topic in an undergraduate dynamics text, we have tried to emphasize it in a way that is more detailed and inclusive than is typically the case. Finally, we have chosen to include multiple sections on important ideas from analysis and topology independent from their application to dynamics.
