Results 21 to 30 of about 3,606 (131)
From the Kuramoto-Sakaguchi model to the Kuramoto-Sivashinsky equation [PDF]
Physical Review E, 2014 6 pages, 4 ...
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Configurational stability for the Kuramoto–Sakaguchi model [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2018 The Kuramoto–Sakaguchi model is a generalization of the well-known Kuramoto model that adds a phase-lag paramater or “frustration” to a network of phase-coupled oscillators. The Kuramoto model is a flow of gradient type, but adding a phase-lag breaks the gradient structure, significantly complicating the analysis of the model.
Jared C. Bronski +2 more
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Hysteretic transitions in the Kuramoto model with inertia [PDF]
Physical Review E, 2014 We report finite size numerical investigations and mean field analysis of a Kuramoto model with inertia for fully coupled and diluted systems. In particular, we examine for a Gaussian distribution of the frequencies the transition from incoherence to coherence for increasingly large system size and inertia. For sufficiently large inertia the transition
Alessandro Torcini +3 more
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Model reduction for Kuramoto models with complex topologies [PDF]
Physical Review E, 2018 Synchronisation of coupled oscillators is a ubiquitous phenomenon, occurring in topics ranging from biology and physics, to social networks and technology. A fundamental and long-time goal in the study of synchronisation has been to find low-order descriptions of complex oscillator networks and their collective dynamics. However, for the Kuramoto model
Hancock, Edward J., Gottwald, Georg A.
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Chimera patterns in the Kuramoto–Battogtokh model [PDF]
Journal of Physics A: Mathematical and Theoretical, 2017 Kuramoto and Battogtokh [Nonlinear Phenom. Complex Syst. 5, 380 (2002)] discovered chimera states represented by stable coexisting synchrony and asynchrony domains in a lattice of coupled oscillators. After reformulation in terms of local order parameter, the problem can be reduced to partial differential equations.
Smirnov, Lev A. (Dr.) +2 more
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Kuramoto model with run-and-tumble dynamics [PDF]
Physical Review E, 2021 This work considers an extension of the Kuramoto model with run-and-tumble dynamics -- a type of self-propelled motion. The difference between the extended and the original model is that in the extended version angular velocity of individual particles is no longer fixed but can change sporadically with a new velocity drawn from a distribution g(w ...
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On the number of stable solutions in the Kuramoto model
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2023 We consider a system of n coupled oscillators described by the Kuramoto model with the dynamics given by θ˙=ω+Kf(θ). In this system, an equilibrium solution θ∗ is considered stable when ω+Kf(θ∗)=0, and the Jacobian matrix Df(θ∗) has a simple eigenvalue of zero, indicating the presence of a direction in which the oscillators can adjust their phases ...
Alex Arenas +3 more
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Multistability in the Kuramoto model with synaptic plasticity [PDF]
Physical Review E, 2007 We present a simplified phase model for neuronal dynamics with spike timing-dependent plasticity (STDP). For asymmetric, experimentally observed STDP we find multistability: a coexistence of a fully synchronized, a fully desynchronized, and a variety of cluster states in a wide enough range of the parameter space.
Maistrenko, Y. L. +4 more
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Stability diagram for the forced Kuramoto model [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2008 We analyze the periodically forced Kuramoto model. This system consists of an infinite population of phase oscillators with random intrinsic frequencies, global sinusoidal coupling, and external sinusoidal forcing. It represents an idealization of many phenomena in physics, chemistry, and biology in which mutual synchronization competes with forced ...
Childs, Lauren M., Strogatz, Steven H.
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Soft Robotic Snake with Tunable Undulatory Gait for Efficient Underwater Locomotion
Advanced Robotics Research, Volume 2, Issue 4, August 2026.This study designs an underwater soft snake robot using 3D‐printed soft actuators, controlled by specific signals to generate sinusoidal undulation. Results show a positive correlation between speed and swing amplitude, with optimal performance at 2/3π phase offset, PLA tail, 1.2 voltage growth rate, and 6s undulation period achieving a maximum speed ...
Huichen Ma, Junjie Zhou, Raye Yeow
wiley +1 more source