Covering the field of nonlinear dynamics, this study examines such topics as: hiking among rabbits; duffing; the Lorenz equations; Poincare sections; parameter dependence; structural stability; transverse sections and sequences; reduction to the centre manifold; and resonances.
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Nonlinear Dynamics: A Two-Way Trip from Physics to Math provides readers with the mathematical tools of nonlinear dynamics to tackle problems in all areas of physics. The selection of topics emphasizes bifurcation theory and topological analysis of dynamical systems. The book includes real-life problems and experiments as well as exercises and worked examples to test understanding.
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