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Coupled metronomes on a moving platform with Coulomb friction
Guillermo H. Goldsztein, Lars Q. English, Emma Behta +3
Using a combination of theory, experiment, and simulation, we revisit the dynamics of two coupled metronomes on a moving platform. Our experiments show that the platform's motion i…
Basins with tentacles
Yuanzhao Zhang, Steven H. Strogatz
To explore basin geometry in high-dimensional dynamical systems, we consider a ring of identical Kuramoto oscillators. Many attractors coexist in this system; each is a twisted per…
Designing temporal networks that synchronize under resource constraints
Yuanzhao Zhang, Steven H. Strogatz
Being fundamentally a non-equilibrium process, synchronization comes with unavoidable energy costs and has to be maintained under the constraint of limited resources. Such resource…
Synchronization of clocks and metronomes:A perturbation analysis based on multiple timescales
Guillermo H Goldsztein, Alice N Nadeau, Steven H Strogatz
In 1665, Huygens observed that two pendulum clocks hanging from the same board became synchronized in antiphase after hundreds of swings. On the other hand, modern experiments with…
Dense networks that do not synchronize and sparse ones that do
Alex Townsend, Michael Stillman, Steven H. Strogatz
For any network of identical Kuramoto oscillators with identical positive coupling, there is a critical connectivity above which the system is guaranteed to converge to the in-phas…
Oscillators that sync and swarm
Kevin P. O'Keeffe, Hyunsuk Hong, Steven H. Strogatz
Synchronization occurs in many natural and technological systems, from cardiac pacemaker cells to coupled lasers. In the synchronized state, the individual cells or lasers coordina…