TY - GEN AU - Strogatz, Steven H TI - Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering SN - 9781138329454 U1 - 501.185 STR PY - 2022/// CY - Boca Raton PB - CRC Press KW - Chaos theory KW - Chaotic behavior in systems KW - Dynamical system KW - Dynamics KW - Logistic map KW - Mathematical and theoretical biology KW - Nonlinear theories KW - Mathematics KW - Steven Strogatz N1 - Includes bibliographical references and index N2 - This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors. A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with mathematical theory. In the twenty years since the first edition of this book appeared, the ideas and techniques of nonlinear dynamics and chaos have found application to such exciting fields as systems biology, evolutionary game theory, and socio-physics. This second edition includes new exercises on these cutting-edge developments, on topics as varied as curiosities of visual perception and the tumultuous love dynamics in Gone with the Wind. https://www.routledge.com/Nonlinear-Dynamics-and-Chaos-With-Applications-to-Physics-Biology-Chemistry/Strogatz/p/book/9780813349107 ER -