Rigorous yet eminently accessible, Discrete Chaos siscrete the most up-to-date book in its class. Stability, Symbolic Dynamics, and Chaos.
Request an e-inspection copy. It provides rigorous coverage of stability, bifurcations, and chaos in one- and two-dimensional discrete dynamical systems. Wolfram Engine Software engine implementing the Wolfram Language. All instructor resources are now available on our Instructor Hub. Handbook of Dynamic System Modeling. Wolfram Data Framework Semantic framework for real-world data. It is a good starting point for scientists and students that would like to move into the field of studying the discrete chaos.
Learn More about VitalSource Bookshelf. The final chapter deals with the Julia and Mandelbrot sets, where in my opinion mathematical elegance and pure aesthetic beauty begin to merge. The first five chapters provide the most comprehensive material on discrete dynamical systems, including trace-determinant stability, bifurcation analysis, and the detailed analysis of the center manifold theory.
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Discrete Chaos can serve as a textbook for undergraduate and beginning graduate courses, as well as a reference for researchers interested in discrete dynamical models. Computable Document Format Computation-powered chas documents. Add to Wish List. The first five chapters provide the most comprehensive material on discrete dynamical systems, including trace-determinant stability, bifurcation analysis, and the detailed analysis of the center manifold theory.
Handbook of Dynamic System Modeling. The power and the utility of theoretical considerations are successfully demonstrated in numerous problems and significant applications to models from ecology, epidemiology, physics, engineering, and social sciences. Wolfram Science Technology-enabling science of the computational universe. It provides rigorous coverage of stability, bifurcations, and chaos in one- and two-dimensional discrete dynamical systems.
This edition also covers L-systems and the periodic structure of the bulbs in disrcete Mandelbrot set as well as new applications in biology, chemistry, and physics. Wolfram Engine Software engine implementing the Wolfram Language. This website uses cookies to improve your experience while you navigate through the website. Out of these cookies, the cookies that are categorized as necessary are stored on your browser as they are as essential for the working of basic functionalities of the website.
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These cookies do not store any personal information. This website uses cookies to improve your experience. We'll assume you're ok with this, but you can opt-out if you wish. Learn More about VitalSource Bookshelf. It provides rigorous coverage of stability, bifurcations, and chaos in one- and two-dimensional discrete dynamical systems.
Wolfram Data Framework Semantic framework for real-world data. With Applications in Science and Engineering now includes many recent results on global stability, bifurcation, chaos, and fractals. Wolfram Science Technology-enabling science e,aydi the computational universe. CPD consists of any educational activity which helps to maintain and develop knowledge, problem-solving, and technical skills with the aim to provide better health care through higher standards.
Request an e-inspection copy. Discrete Chaos can serve as a textbook for undergraduate and beginning graduate courses, as well discgete a reference for researchers interested in discrete dynamical models. Stability, Symbolic Dynamics, and Chaos. The final chapter deals with the Julia and Mandelbrot sets, where in my opinion mathematical elegance and pure aesthetic beauty begin to merge.
Add to Wish List. You will be prompted to fill out a registration form dicrete will be verified by one of our sales reps. This website uses cookies to improve your experience while you navigate through the website. The author provides understandable derivations or explanations of many key concepts, such as Kolmogrov-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents.
Author : Mustafa R. Following the work of Yorke and Li in , the theory of discrete dynamical systems and difference equations developed rapidly. The applications of difference equations also grew rapidly, especially with the introduction of graphical-interface software that can plot trajectories, calculate Lyapunov exponents, plot bifurcation diagrams, and find basins of attraction.
Modern computer algebra systems have opened the door to the use of symbolic calculation for studying difference equations. This book offers an introduction to discrete dynamical systems and difference equations and presents the Dynamica software. Developed by the authors and based on Mathematica, Dynamica provides an easy-to-use collection of algebraic, numerical, and graphical tools and techniques that allow users to quickly gain the ability to: Find and classify the stability character of equilibrium and periodic points Perform semicycle analysis of solutions Calculate and visualize invariants Calculate and visualize Lyapunov functions and numbers Plot bifurcation diagrams Visualize stable and unstable manifolds Calculate Box Dimension While it presents the essential theoretical concepts and results, the book's emphasis is on using the software.
The authors present two sets of Dynamica sessions: one that serves as a tutorial of the different techniques, the other features case studies of well-known difference equations. Dynamica and notebooks corresponding to particular chapters are available for download from the Internet.
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This sixth volume collects authoritative chapters covering several applications of fractional calculus in control theory, including fractional controllers, design methods and toolboxes, and a large number of engineering applications of control.
The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynamical systems, geometry, measure theory, topology, and numerical analysis during the last several decades. It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set.
This is the first time in the literature that the description of chaos is initiated from a single motion. Chaos is now placed on the line of oscillations, and therefore, it is a subject of study in the framework of the theories of dynamical systems and differential equations, as in this book.
The techniques introduced in the book make it possible to develop continuous and discrete dynamics which admit fractals as points of trajectories as well as orbits themselves. To provide strong arguments for the genericity of chaos in the real and abstract universe, the concept of abstract similarity is suggested. Author : Ahmed G. Fractional-Order Design: Devices, Circuits, and Systems introduces applications from the design perspective so that the reader can learn about, and get ready to, design these applications.
Furthermore, a lot of mathematics is available in the literature for solving the fractional-order calculus for system application. However, a small portion is employed in the design of fractional-order systems. This book introduces the mathematics that has been employed explicitly for fractional-order systems. Students and scholars who wants to quickly understand the field of fractional-order systems and contribute to its different domains and applications will find this book a welcomed resource.
Presents a simple and comprehensive understanding of the field of fractional-order systems Offers practical knowledge on the design of fractional-order systems for different applications Exposes users to the possible new areas of applications of fractional-order systems. Books Discrete Chaos.
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