Research output: Contribution to conference › Paper › peer-review
Study of homoclinic transversal intersections for the double mathematical pendulum. / Ivanov, Alexey V.
2000. 150-151 Paper presented at 2nd Interntional Conference on Control of Oscillations and Chaos (COC 2000), ST. Petersbug, Russia.Research output: Contribution to conference › Paper › peer-review
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TY - CONF
T1 - Study of homoclinic transversal intersections for the double mathematical pendulum
AU - Ivanov, Alexey V.
PY - 2000
Y1 - 2000
N2 - The double mathematical pendulum (DMP) is a Hamiltonian system. The homoclinic transversal intersections are studied. The system has two degrees of freedom. The system exhibits a regular and a chaotic behavior of its trajectories. Hyperbolic periodic trajectories in the stochastic component are obtained. The Poincare-Arnold-Melnikiov method is used to obtain the homoclinic points. Asymptotic formula for the homoclinic invariant of homoclinic trajectory is obtained.
AB - The double mathematical pendulum (DMP) is a Hamiltonian system. The homoclinic transversal intersections are studied. The system has two degrees of freedom. The system exhibits a regular and a chaotic behavior of its trajectories. Hyperbolic periodic trajectories in the stochastic component are obtained. The Poincare-Arnold-Melnikiov method is used to obtain the homoclinic points. Asymptotic formula for the homoclinic invariant of homoclinic trajectory is obtained.
UR - http://www.scopus.com/inward/record.url?scp=0033680747&partnerID=8YFLogxK
M3 - Paper
AN - SCOPUS:0033680747
SP - 150
EP - 151
T2 - 2nd Interntional Conference on Control of Oscillations and Chaos (COC 2000)
Y2 - 5 July 2000 through 7 July 2000
ER -
ID: 95638826