
 Topics
* Generic bifurcation of periodic points
+ maps on R^{2n}: a Lagrangian variational formulation
+ new proof of Meyer's Theorem on periodic points
+ reduced stability of bifurcating periodq points
* Periodic points of equivariant symplectic maps
+ subharmonic bifurcation of equivariant symplectic maps
+ O(2)equivariant symplectic maps
+ parametrically forced spherical pendulum
+ Orbit space reduction for symplectic maps
+ symmetries and Noether's Theorem for maps
* Singularity theory for equivariant gradient maps
+ classification of Z_q and D_qequivariant gradient maps
+ classification of degenerate bifurcations of maps
* Collision of Floquet multipliers on the unit circle
+ "HamiltonianHopf bifurcation" for symplectic maps
+ Generic theory for symplectic maps near rational collision
+ collision of multipliers at +/ i
+ reduced stability results for bifurcations near collisions
+ generic theory for maps near a collision at irrational points
+ effect of symmetry on maps with collisions
* Some Appendices
+ signature on configuration space
+ equivariant splitting lemma
+ about reversiblesymplectic maps
+ twist maps and dynamical equivalence
+ instability lemma
+ (p,q)resonances for symplectic maps
+ isotropy and twisted subgroups of \Sigma\times Z_q
+ about symmetric symplectic operators
