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Scaling Law of Urban Ride Sharing
Remi Tachet, Oleguer Sagarra, Paolo Santi +4
Sharing rides could drastically improve the efficiency of car and taxi transportation. Unleashing such potential, however, requires understanding how urban parameters affect the fr…
Comparing the Locking Threshold for Rings and Chains of Oscillators
Bertrand Ottino-Loffler, Steven Strogatz
We present a case study of how topology can affect synchronization. Specifically, we consider arrays of phase oscillators coupled in a ring or a chain topology. Each ring is perfec…
Correlated disorder in the Kuramoto model: Effects on phase coherence, finite-size scaling, and dynamic fluctuations
Hyunsuk Hong, Kevin P. O'Keeffe, Steven H. Strogatz
We consider a mean-field model of coupled phase oscillators with quenched disorder in the natural frequencies and coupling strengths. A fraction of oscillators are positively c…
Dynamics of a population of oscillatory and excitable elements
Kevin P. O'Keeffe, Steven H. Strogatz
We analyze a variant of a model proposed by Kuramoto, Shinomoto, and Sakaguchi for a large population of coupled oscillatory and excitable elements. Using the Ott-Antonsen ansatz,…
Frequency Spirals
Bertrand Ottino-Loffler, Steven Strogatz
We study the dynamics of coupled phase oscillators on a two-dimensional Kuramoto lattice with periodic boundary conditions. For coupling strengths just below the transition to glob…
Phase coherence induced by correlated disorder
Hyunsuk Hong, Kevin P. O'Keeffe, Steven H. Strogatz
We consider a mean-field model of coupled phase oscillators with quenched disorder in the coupling strengths and natural frequencies. When these two kinds of disorder are uncorrela…