Perturbation Methods
II
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Course Outline
- Assignments
- Handouts
- Valuable Notes
- Important Contributors
- Milton. Van Dyke
- Ali Nayfeh
- Julian D. Cole
- James Murdock
- L. D. Landau
- Erdelyi
- Others
- Some References
- On Perturbation Theory
- Mathematical Handbooks
- Some Tutorials and Tools in Symbolic
Programming (Mathematica)
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Nayfeh's Package (contents) Book (To download
Mathematica notebooks below use Save Link As)
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Chapter 1 Global Rules
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Chapter 2 Duffing, Lindtedt-Poincaré, Multiple
Scales, Variation of Parameters, Averaging
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Chapter 3 Quadratic & Cubic Nonlinearities, Multiple
Scales, General Method of Averaging,
Krylov-Bogoliubov-Mitropolsky, Method of Normal
Forms
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Chapter 4 Forced Oscillations, Multiple Scales,
Resonance, Averaging, Normal Forms
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Chapter 5 Higher Order Approximations for Systems
with Internal Resonances
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Chapter 6 Forced Oscillators with Finite Degrees of
Freedom
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Chapter 7 Continuous Systems with Cubic
Nonlinearities, Solvability Conditions and the
Concept of Adjoint, Time-Averaged Lagrangian
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Chapter 8 Continuous Systems with Quadratic and
Cubic Nonlinearities
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Chapter 9 Higher Order Approximations of Continuous
Systems with Two-to-One Internal Resonances
- Kaufmann's Package
- Introductory to Symbolic
Programming
- Specialized Mathematica
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