*Important note:* These lecture notes are the basis for a
textbook in nonlinear dynamics in the IOP Concise Physics series. Your
university library may be able to provide access to this ebook. (It is also
available from a variety of booksellers, including directly
from the
publisher.) If you do
have access to the book, you should use it rather than these notes, since
the book has expanded coverage of several
topics. I would also appreciate it if you would cite the book rather than
these informal notes:

Marc R Roussel (2019)
Nonlinear Dynamics: A Hands-On Introductory Survey,
Morgan & Claypool, San Rafael, CA (IOP Concise Physics
series). |

- Course outline and general information
- Lecture notes
- Lecture 1
- Lecture 2: Stability analysis for ODEs
- Lecture 3
- Lecture 4: Bifurcation analysis using AUTO
- Lecture 5: Invariant manifolds
- Lecture 6
- Lecture 7: Hamiltonian systems
- Lecture 8: Nonautonomous systems
- Lecture 9: Maps and differential equations
- Lecture 10
- Lecture 11: Delay-differential equations
- Lecture 12: Reaction-diffusion equations

- Assignments