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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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This graduate level course focuses on nonlinear dynamics with applications. It takes an intuitive approach with emphasis on geometric thinking, computational and analytical methods and makes extensive use of demonstration software.
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- mathematics
- phase plane
- limit cycles
- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium dynamics
- center manifolds
- elementary bifurcations
- normal forms
- chaos
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