Introduction to the dynamics of area--preserving maps
Confinement of charged particles in electromagnetic fields, plasma heating, intermolecular dynamics, etc. can all be modeled by Hamiltonian systems dq/dt = partialH(q,p,t)/partialp dp/dt = -partialH(q,p,t)/partialq where q and p are n-dimensional, H is the Hamiltonian, n the number of degrees of freedom, and (p,q) is the phase space. These lectures are structured to describe such Hamiltonian systems in the simplest non-trivial case, i.e., two degree of freedom. In this case the systems can be reduced to iteration of one- parameter families of area-preserving maps of a surface to itself: (q/sub n//sub +//sub 1/,p/sub n//sub +//sub 1/) = F(q/sub n/,p/sub n/). Periodic orbits, invariant circles, and cantori are mappings which focus this discussion. (AIP)
- Research Organization:
- Mathematics Institute, University of Warwick, Coventry CV4 7AL, England
- OSTI ID:
- 5732089
- Report Number(s):
- CONF-850771-
- Journal Information:
- AIP Conf. Proc.; (United States), Journal Name: AIP Conf. Proc.; (United States) Vol. 153:1; ISSN APCPC
- Country of Publication:
- United States
- Language:
- English
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