DocumentCode
357379
Title
Study of homoclinic transversal intersections for the double mathematical pendulum
Author
Ivanov, Alexey V.
Author_Institution
Dept. of Math. Phys., St. Petersburg State Univ., Russia
Volume
1
fYear
2000
fDate
2000
Firstpage
150
Abstract
The double mathematical pendulum is a classical example of a Hamiltonian system with two degrees of freedom. It consists of two masses attached to joined arms of different lengths, the upper end of the first arm being fixed, and the whole system being subjected to the action of constant gravity. We show that the reduced system has transversal homoclinic intersections using the Poincare-Arnold-Melnikiov method
Keywords
classical mechanics; nonlinear dynamical systems; pendulums; Poincare-Arnold-Melnikiov method; double mathematical pendulum; homoclinic transversal intersections; Acceleration; Area measurement; Arm; Chaos; Gravity; H infinity control; Jacobian matrices; Numerical simulation; Physics; Stochastic processes;
fLanguage
English
Publisher
ieee
Conference_Titel
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location
St. Petersburg
Print_ISBN
0-7803-6434-1
Type
conf
DOI
10.1109/COC.2000.873540
Filename
873540
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