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Chaotic Dynamics of Fractional Discrete Time Systems
The book reviews the application of discrete fractional operators in diverse fields such as biological and chemical reactions, as well as chaotic systems, demonstrating their applications in physics. The dynamical analysis is carried out using equilibrium points of the system for studying their stability properties and the chaotic behaviors are illustrated with the help of bifurcation diagrams and Lyapunov exponents. The book is divided into three parts. Part I deals with the application of discrete fractional operators in chemical reaction-based systems with biological significance. Two different chemical reaction models are analysed- one being disproportionation of glucose, which plays an ...
Advances in Fluid-Solid Coupling Processes between Fractures and Porous Rocks: Experimental and Numerical Investigation
Hydraulic fracturing is the key measure for improving recovery of unconventional oil and gas reservoirs. Prediction of fracture morphology and productivity after fracturing is critical for fracturing design and optimization. The hydraulic fracturing process is to open porous rocks by artificially injecting highly compressed fluid, and the hydraulic fracture will be closed under the compaction of in-situ stress during the production process. In this regard, hydraulic fracturing and production processes are both fluid-solid coupling processes involving fractures and porous rocks. This Research Topic aims to gather the latest studies addressing how to improve the prediction accuracy of hydraulic fracturing morphology and post-fracturing productivity through experimental and numerical investigation. The experimental research shall underline hydraulic fracturing and fracture conductivity experiments and associated experimental methods, while the numerical research shall pay particular attention to discrete fracture network models, including the calculation efficiency and accuracy as well as the applicability.
Dynamic Calculus and Equations on Time Scales
The latest advancements in time scale calculus are the focus of this book. New types of time-scale integral transforms are discussed in the book, along with how they can be used to solve dynamic equations. Novel numerical techniques for partial dynamic equations on time scales are described. New time scale inequalities for exponentially convex functions are introduced as well.
Acupuncture Therapy for Neurological Diseases
Acupuncture therapy has been practiced in China and other Asian countries for more than two thousand years. Modern clinical research has confirmed the impressive therapeutic effect of acupuncture on numerous human ailments, such as controlling pain, nausea, and vomiting. However, the biological mechanisms of acupuncture are still under debate. In Traditional Chinese Medicine (TCM), the mechanism of acupuncture therapy is explained by a meridian model. According to this model, acupuncture is believed to treat the diseased organs by modulating two conditions known as Yin and Yang, which represent all the opposite principles that people find in the universe, both inside and outside the human bo...
Campus Beauty Falls in Love with Me
He was in a desperate situation and had fortuitous encounters. From then on, his life was on the line! His brain was well-developed, equipped with superpowers, photographic memory, and extremely intelligent. The students who were at the bottom in the past had entered the university with the status of top scholar. Singing would allow him to become a Heavenly Emperor's superstar, play basketball would allow him to surpass the Hall of Fame, and play games would allow him to defeat the professional tyrants ... All the way back to the sect, glory and wealth came in one body!
Taiwan and the Rise of China
Coincided with China’s economic reform and her rapid ascendance to a great power status, the relations between Taiwan and Chinese mainland since 1979 have also seen some encouraging development. However, the rapprochement is nothing but a smooth ride. Taiwan Strait has always been full of tensions and hostility since the communist took over the mainland over sixty years ago.The periodical tensions in the cross-Strait relations have from time to time threatened to derail the peace talks between the two sides, and poised to jeopardize the region’s peace and stability. This book studies the past, present and future relations across the Taiwan Strait and examines many important questions suc...
Mathematics of Continuous and Discrete Dynamical Systems
This volume contains the proceedings of the AMS Special Session on Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations, in honor of Ronald Mickens's 70th birthday, held January 9-10, 2013, in San Diego, CA. Included are papers on design and analysis of discrete-time and continuous-time dynamical systems arising in the natural and engineering sciences, in particular, the design of robust nonstandard finite-difference methods for solving continuous-time ordinary and partial differential equation models, the analytical and numerical study of models that undergo nonlinear oscillations, as well as the design of deterministic and stochastic models for epidemiological and ecolo...
Discontinuity and Complexity in Nonlinear Physical Systems
Discontinuity in Nonlinear Physical Systems explores recent developments in experimental research in this broad field, organized in four distinct sections. Part I introduces the reader to the fractional dynamics and Lie group analysis for nonlinear partial differential equations. Part II covers chaos and complexity in nonlinear Hamiltonian systems, important to understand the resonance interactions in nonlinear dynamical systems, such as Tsunami waves and wildfire propagations; as well as Lev flights in chaotic trajectories, dynamical system synchronization and DNA information complexity analysis. Part III examines chaos and periodic motions in discontinuous dynamical systems, extensively present in a range of systems, including piecewise linear systems, vibro-impact systems and drilling systems in engineering. And in Part IV, engineering and financial nonlinearity are discussed. The mechanism of shock wave with saddle-node bifurcation and rotating disk stability will be presented, and the financial nonlinear models will be discussed.
HISTORY OF THREE KINGDOMS
The Twenty-Four Histories (Chinese: 二十四史) are the Chinese official historical books covering a period from 3000 BC to the Ming dynasty in the 17th century. The Han dynasty official Sima Qian established many of the conventions of the genre. Starting with the Tang dynasty, each dynasty established an official office to write the history of its predecessor using official court records. As fixed and edited in the Qing dynasty, the whole set contains 3213 volumes and about 40 million words. It is considered one of the most important sources on Chinese history and culture. The title "Twenty-Four Histories" dates from 1775 which was the 40th year in the reign of the Qianlong Emperor. This ...
