Geometrical theory of dynamical systems
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This text is a slightly edited version of lecture notes for a course I gave at ETH, during the Winter term 2000-2001, to undergraduate Mathematics and Physics students. Contents: Chapter 1 - Examples of Dynamical Systems Chapter 2 - Stationary and Periodic Solutions Chapter 3 - Local Bifurcations Chapter 4 - Introduction to Chaotic Dynamics
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Cited by 1 Pith paper
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Classifying Transient Regimes in Dynamic Systems through Properties of Spatial Curves and Stochastic Processes: A Data-Driven Approach
A data-driven method classifies transient regimes in dynamic systems by building spatial curves from sample moments and applying arc length and curvature classifiers that handle multivariate stability and cyclostationarity.
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