2013/01/17 by N. A. M. Araújo, Hansjörg Seybold, H. Seybold +6
Computer Science · Engineering · Mathematics · Neuroscience · Physics and Astronomy · #Bearing (navigation) #Classical mechanics #Combinatorics #Computer science #Dissipation #Dissipative system #Exponent #Function (biology) #Inertia #Mathematical analysis #Mathematics #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #Physics #Quantum mechanics #RADIUS #Rotor (electric) #Slime Mold and Myxomycetes Research #Statistical physics #Synchronization (alternating current) #Topology (electrical circuits) #cond-mat.dis-nn #cond-mat.stat-mech #physics.comp-ph
paper · pdf · doi:10.1103/physrevlett.110.064106
published as Physical Review Letters 110, 064106 (2013) · 5 pages, 6 figures, to appear in Physical Review Letters
arxiv created 2013/01/17 · openalex publication_date 2013/02/07 · arxiv updated 2013/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Bearings are mechanical dissipative systems that, when perturbed, relax toward a synchronized (bearing) state. Here we find that bearings can be perceived as physical realizations of complex networks of oscillators with asymmetrically weighted couplings. Accordingly, these networks can exhibit optimal synchronization properties through fine-tuning of the local interaction strength as a function of node degree [Motter, Zhou, and Kurths, Phys. Rev. E 71, 016116 (2005)]. We show that, in analogy, the synchronizability of bearings can be maximized by counterbalancing the number of contacts and the inertia of their constituting rotor disks through the mass-radius relation, m~r(α), with an optimal exponent α=α(×) which converges to unity for a large number of rotors. Under this condition, and regardless of the presence of a long-tailed distribution of disk radii composing the mechanical system, the average participation per disk is maximized and the energy dissipation rate is homogeneously distributed among elementary rotors.