The experimental multi-arm pendulum on a cart: A benchmark system for chaos, learning, and control.

ABSTRACT: The single, double, and triple pendulum has served as an illustrative experimental benchmark system for scientists to study dynamical behavior for more than four centuries. The pendulum system exhibits a wide range of interesting behaviors, from simple harmonic motion in the single pendulum to chaotic dynamics in multi-arm pendulums. Under forcing, even the single pendulum may exhibit chaos, providing a simple example of a damped-driven system. All multi-armed pendulums are characterized by the existence of index-one saddle points, which mediate the transport of trajectories in the system, providing a simple mechanical analog of various complex transport phenomena, from biolocomotion to transport within the solar system. Further, pendulum systems have long been used to design and test both

SUBMITTER: Kaheman K 

PROVIDER: S-EPMC10458325 | biostudies-literature | 2023 Sep

REPOSITORIES: biostudies-literature