TY - BOOK ID - 5314554 TI - Nonlinear dynamics and chaos : with applications to physics, biology, chemistry, and engineering PY - 2000 SN - 9780738204536 0738204536 PB - Boulder (Colorado) Westview Press, DB - UniCat KW - Chaotic behavior in systems KW - Dynamics KW - Nonlinear theories KW - Chaos KW - Dynamique KW - Théories non linéaires KW - Théories non linéaires KW - Nonlinear problems KW - Nonlinearity (Mathematics) KW - Chaostheorie KW - Dynamische systemen KW - Vertakkingstheorie KW - Chaostheorie. KW - Dynamische systemen. KW - Vertakkingstheorie. KW - Dynamical systems KW - Kinetics KW - Chaos in systems KW - Chaos theory KW - Chaotic motion in systems KW - Chemical thermodynamics KW - fysicochemie KW - Mathematics KW - Mechanics, Analytic KW - Force and energy KW - Mechanics KW - Physics KW - Statics KW - Differentiable dynamical systems KW - System theory KW - Calculus KW - Mathematical analysis KW - Mathematical physics KW - Chaotic behavior in systems. KW - Dynamics. KW - Nonlinear theories. KW - Systèmes dynamiques non linéaires. KW - Chaos (théorie des systèmes) KW - Systèmes dynamiques non linéaires. KW - Chaos (théorie des systèmes) UR - https://www.unicat.be/uniCat?func=search&query=sysid:5314554 AB - 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. }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 the mathematical theory.Richly illustrated, and with many exercises and worked examples, this book is ideal for an introductory course at the junior/senior or first-year graduate level. It is also ideal for the scientist who has not had formal instruction in nonlinear dynamics, but who now desires to begin informal study. The prerequisites are multivariable calculus and introductory physics. } ER -