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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 ...
Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering. In the biological sciences, for instance, one of the challenging problems is to understand how a group of cells or functional units, each displaying complicated nonlinear dynamic phenomena, can interact with one another to produce a coherent response on a higher organizational level.This book is a guide to the fascinating new concept of chaotic synchronization. The topics covered range from transverse stability and riddled basins of attraction in a system of two coupled logistic maps over partial synchronization and clustering in systems of many chaotic oscillators, to noise-induced synchroniz...
This long-awaited revised second edition of the standard reference on the subject has been considerably expanded to include such recent developments as novel control schemes, control of chaotic space-time patterns, control of noisy nonlinear systems, and communication with chaos, as well as promising new directions in research. The contributions from leading international scientists active in the field provide a comprehensive overview of our current level of knowledge on chaos control and its applications in physics, chemistry, biology, medicine, and engineering. In addition, they show the overlap with the traditional field of control theory in the engineering community. An interdisciplinary approach of interest to scientists and engineers working in a number of areas.
The present volume has as its central aim a reassessment of the works of Ivan Turgenev for the twenty-first century. Against the background of a decline in interest in nineteenth-century literature the articles gathered here seek to argue that the period in general, and his work in particular, still have much to offer the modern sensibility. The volume also offers a great variety of approaches. Some of the contributors tackle major works by Turgenev, including Rudin and Smoke, while others address key themes that run through all his creative work. Yet others address his influence, as well as his broader relationship with Russian and other cultures. A final group of articles examines other key figures in Russian literary culture, including Belinskii, Herzen and Tolstoi. The work will therefore be of interest to students, postgraduates and specialists in the field of Russian literary culture. At the same time, they will stand as a tribute to the life and work of Professor Richard Peace, a long-standing specialist in nineteenth-century Russian literature, in whose honour the volume has been compiled.
Critical studies of Turgenev have tended to focus on his realistic portrayals of nineteenth-century Russian life and have therefore closely allied Turgenev with the dominant literary movement of that time, Realism. By contrast, this book reveals the non-Realist literary patterns that distinguish Turgenev's fiction. In so doing, it newly uncovers an intricate, imaginative vision of human experience that unites poetics and ethics. The first part of the book identifies and assesses the ethical values associated with Realism, finding them rooted in the virtues of the traditional rural community. It then elucidates the very different ethical values that inform Turgenev's art, which are rooted not...
This book on advanced optoisolation circuits for nonlinearity applications in engineering addresses two separate engineering and scientific areas, and presents advanced analysis methods for optoisolation circuits that cover a broad range of engineering applications. The book analyzes optoisolation circuits as linear and nonlinear dynamical systems and their limit cycles, bifurcation, and limit cycle stability by using Floquet theory. Further, it discusses a broad range of bifurcations related to optoisolation systems: cusp-catastrophe, Bautin bifurcation, Andronov-Hopf bifurcation, Bogdanov-Takens (BT) bifurcation, fold Hopf bifurcation, Hopf-Hopf bifurcation, Torus bifurcation (Neimark-Sack...
In December 1979 the USSR’s 40th Army crossed the border into Afghanistan. Special forces troops – the infamous GRU Spetsnaz – and KGB agents had already entered the country and in a fierce gun battle assassinated Afghanistan’s President Hafizullah Amin in Tajbeg Palace so that he could be replaced by rival Babrak Karmal. The official explanation provided to officers, non-commissioned officers, and other ranks of the Soviet Armed Forces was that they were carrying out an ‘international duty’ in Afghanistan. What exactly that was, none of the participants knew. The reasoning of Brezhnev’s Politburo was that their intervention would bring stability to a country slipping into anar...