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03 Dynamical Systems Tutorial PDF

43 Pages·2017·English
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by ['Prashanth Mohan']| 2017| 43 pages| English

About 03 Dynamical Systems Tutorial

This document provides an overview of dynamical systems and concepts such as attractors, bifurcations, stability, and center manifolds. Key points: 1) Dynamical systems model time-varying phenomena using variables and rates of change over time. They can be used across many fields of science. 2) Fixed points, where the rate of change is zero, can be attractors that neighboring solutions converge to over time if they are stable. Bifurcations occur when stability changes qualitatively. 3) Linearization near attractors allows analysis of stability properties. Negative real parts of eigenvalues indicate stability; positive real parts indicate instability. 4) Bifurcations like tangent, transcritical, and

Detailed Information

Author:['Prashanth Mohan']
Publication Year:2017
Pages:43
Language:English
Format:PDF
Price:FREE
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