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May 14, 2024
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MATH 722 - Nonlinear Dynamics and Chaos II (3 units)
Local bifurcations of vector fields, bifurcations of maps, global bifurcations and chaos, Milnikov’s method, chaotic attractors, applied chaos.
Units of Lecture: 3
Student Learning Outcomes
Upon completion of this course, students will be able to:
1. demonstrate an advanced level of competency in center manifold and normal forms theorie, applications of normal forms theory to analysis of local bifurcations in multidimensional systems, normal forms and bifurcations in periodic systems.
2. demonstrate knowledge of theory and applications of Lorenz’s and Rossler’s systems, chaotic attractors, Lyapunov’s exponents, Eegodicity concept.
3. demonstrate an advanced level of competency in nonlinear maps and their bifurcations, normal form theory for nonlinear maps, chaotic dynamics of maps.
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