On Jacobian matrices for flows.
We present a general method for constructing numerical Jacobian matrices for flows discretized on a Poincaré surface of section. Special attention is given to Hamiltonian flows where the additional constraint of energy conservation is explicitly taken into account. We demonstrate the approach for a conservative dynamical flow and apply the technique for the general detection of periodic orbits.
Doyon
B
B
Département de Physique, de Génie Physique, et d'Optique Université Laval, Cité Universitaire, Québec, Canada G1K 7P4. bdoyon@phy.ulaval.ca
Dubé
L J
LJ
D000465:Algorithms; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D010825:Physics / Q000379:methods