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
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;
Conference_Titel :
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-6434-1
DOI :
10.1109/COC.2000.873540
