TY - JOUR
T1 - Spurious Behavior of a Symplectic Integrator
AU - HONG, Jialin
AU - LIU, Hongyu
AU - SUN, Geng
PY - 2005/8
Y1 - 2005/8
N2 - In this article, we study the existence and behavior of spurious solutions of symplectic Euler method for some Hamiltonian systems. It is shown that the symplectic integrator applied to Hamiltonian systems, in general, doesn't avoid spurious behavior, even spurious period-two solutions. The numerical results are presented. © 2005 Elsevier Ltd. All rights reserved.
AB - In this article, we study the existence and behavior of spurious solutions of symplectic Euler method for some Hamiltonian systems. It is shown that the symplectic integrator applied to Hamiltonian systems, in general, doesn't avoid spurious behavior, even spurious period-two solutions. The numerical results are presented. © 2005 Elsevier Ltd. All rights reserved.
KW - Spurious solutions
KW - Symplectic Euler method
UR - http://www.scopus.com/inward/record.url?scp=27344447911&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-27344447911&origin=recordpage
U2 - 10.1016/j.camwa.2005.02.013
DO - 10.1016/j.camwa.2005.02.013
M3 - RGC 21 - Publication in refereed journal
SN - 0898-1221
VL - 50
SP - 519
EP - 528
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 3-4
ER -