Download or read book Low noise Sub harmonic Injection Locked Multiloop Ring Oscillator Project Supported by the National Natural Science Foundation of China No 61264001 the Guangxi Natural Science Foundation Nos 2013GXNSFAA019333 2015GXNSFAA139301 2014GXNSFAA118386 the Graduate Education Innovation Program of GUET No GDYCSZ201457 the Project of Guangxi Education Department No LD14066B and the High Level Innovation Team and Outstanding Scholar Project of Guangxi Higher Education Institutes written by and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Time Reversibility Computer Simulation Algorithms Chaos written by William Graham Hoover and published by World Scientific. This book was released on 2012 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book begins with a discussion, contrasting the idealized reversibility of basic physics against the pragmatic irreversibility of real life. Computer models, and simulation, are next discussed and illustrated. Simulations provide the means to assimilate concepts through worked-out examples. State-of-the-art analyses, from the point of view of dynamical systems, are applied to many-body examples from nonequilibrium molecular dynamics and to chaotic irreversible flows from finite-difference, finite-element, and particle-based continuum simulations. Two necessary concepts from dynamical-systems theory - fractals and Lyapunov instability - are fundamental to the approach. Undergraduate-level physics, calculus, and ordinary differential equations are sufficient background for a full appreciation of this book, which is intended for advanced undergraduates, graduates, and research workers.