1996/02/01 by Randall D. Peters · 1 voice
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems
paper · doi:10.1119/1.18138
openalex publication_date 1996/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21
The steady-state motion of a rigid planar pendulum has been studied as the drive frequency was tuned through ‘‘resonance’’ of the pendulum. Depending on amplitude of the drive, dramatically different responses were observed. The only motions studied in detail were ones involving period-one limit cycles. A range of surprisingly large hysteresis was discovered, in which amplitude jumps occur in only one direction. A highly nonlinear mode, that is not chaotic, was discovered. It is apparently known by bell ringers but not by physicists. Amplitude jumps out of the bell-ringer mode appear to exhibit transient chaos for some cases.