| Main areas that will be explored are: | |
| i) Guiding center particle motion in toroidal systems and integral invariants. (Lecture 1) | |
| ii) Hamiltonian mappings for toroidal systems: numerical implementation for synthetic diagnostics and analytic forms of Hamiltonian mappings for theoretical studies. (Lecture 2) | |
| iii) Applications and examples of Hamiltonian mappings from previous courses. (Lecture 3) | |
| iv) Cases of practical interest: the nonlinear BAE problem and the nonlinear TAE problem from recent hybrid simulation results. (Lecture 4) | |
| v) Frequency sweeping, phase locking and supra-thermal particle transport: heuristic models for understanding nonlinear behaviors in nonuniform plasmas. (Lecture 5) | |
| vi) From local to global nonlinear dynamic descriptions. (Lecture 6) |
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