title: Huygens' inspired multi-pendulum setups: Experiments and stability analysis.
abstract: This paper examines synchronization of a set of metronomes placed on a lightweight foam platform. Two configurations of the set of metronomes are considered: a row setup containing one-dimensional coupling and a cross setup containing two-dimensional coupling. Depending on the configuration and coupling between the metronomes, i.e., the platform parameters, in- and/or anti-phase synchronized behavior is observed in the experiments. To explain this behavior, mathematical models of a metronome and experimental setups have been derived and used in a local stability analysis. It is numerically and experimentally demonstrated that varying the coupling parameters for both configurations has a significant influence on the stability of the synchronized solutions.
authors.affiliation: Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands.
authors.forename: F N
authors.initials: FN
authors.lastname: Hoogeboom
authors.affiliation: Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands.
authors.forename: A Y
authors.initials: AY
authors.lastname: Pogromsky
authors.affiliation: Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands.
authors.forename: H
authors.initials: H
authors.lastname: Nijmeijer