Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations (Cambridge Texts in Applied Mathematics, Series Number 11) - Softcover
Book 6 of 44: Cambridge Texts in Applied Mathematics
Synopsis
By providing an introduction to nonlinear differential equations, Dr. Glendinning aims to equip the student with the mathematical know-how needed to appreciate stability theory and bifurcations. His approach is readable and covers material both old and new to undergraduate courses. Included are treatments of the Poincaré-Bendixson theorem, the Hopf bifurcation and chaotic systems.
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From the Back Cover
This book examines qualitative methods for nonlinear differential equations, bifurcation theory and chaos in terms suitable for advanced undergraduate and first-year postgraduate students in mathematics and physics. Starting from the idea of phase space, the structure of solutions near hyperbolic stationary points and periodic orbits in investigated. Then, after a brief discussion of perturbation methods and nonlinear oscillators, the theory of nonhyperbolic stationary points, bifurcations and chaos is described.
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Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations (Cambridge Texts in Applied Mathematics, Series Number 11)
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Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations (Cambridge Texts in Applied Mathematics, Series Number 11)
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Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations (Cambridge Texts in Applied Mathematics, Series Number 11)
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