TY - JOUR
T1 - Contact Algorithms for Contact Dynamical Systems
JO - Journal of Computational Mathematics
VL - 1
SP - 1
EP - 14
PY - 1998
DA - 1998/02
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9137.html
KW - Contact algorithms, contact systems, conic symplectic geometry, generating functions.
AB - <p style="text-align: justify;">In this paper, we develop a general way to construct contact algorithms for contact dynamical systems. Such an algorithm requires the corresponding step-transition map preserve the contact structure of the underlying contact phase space. The constructions are based on the correspondence between the contact geometry of ${\bf R}^{2n+1}$ and the conic symplectic one of ${\bf R}^{2n+2}$ and therefore, the algorithms are derived naturally from the symplectic algorithms of Hamiltonian systems.</p>