Dynamics of the N-link pendulum: a fractional perspective

ABSTRACT

This paper addresses the dynamics of an N-link planar pendulum in the perspective of fractional calculus. The proposed methodology leads to a novel point of view for signal propagation as a time-space wave within the system mechanical structure. Numerical simulations show the effectiveness of the approach both for signal visualisation and limit cycle detection.

KEYWORDS:

• N-link pendulum
• fractional calculus
• dynamical systems
• signal propagation
• limit cycle

Disclosure statement

The authors declare that there are no conflicts of interest.