Periodic orbits of the integrable swinging Atwood’s machine

1995/02/01 by Ana Nunes, Josefina Casasayas, J. Casasayas +1
Computer Science · Physics and Astronomy · Biochemistry, Genetics and Molecular Biology · #Cellular Automata and Applications #Quantum chaos and dynamical systems #Microtubule and mitosis dynamics

paper · doi:10.1119/1.17967

Abstract

We identify all the periodic orbits of the integrable swinging Atwood’s machine by calculating the rotation number of each orbit on its invariant tori in phase space, and also providing explicit formulas for the initial conditions needed to generate each orbit.

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