The behavior of rings of coupled oscillators
Copyright policy )The behavior of rings of coupled oscillators
Coupled oscillators in a ring are studied using perturbation and numerical methods. Stability of waves with nearest neighbor weak coupling is shown for a class of simple oscillators. Linkens' model for colorectal activity is analyzed and several stable modes are found. Stability of waves with general (non nearest neighbor coupling) is determined and comparisons to the nearest neighbor case are made. Approximate solutions to a ring with inhomogeneities are compared with numerical simulations.
- University of Pittsburgh United States
Colon, Biophysics, Rectum, Physiological, cellular and medical topics, long range coupling, periodic solutions, Muscle, Smooth, stability, weak coupling, nearest neighbor coupling, Models, Biological, Dynamics of a system of particles, including celestial mechanics, lateral inhibition, Oscillometry, rings of coupled oscillators, Animals, Hopf bifurcation, inductively coupled van der Pol model, General biology and biomathematics, Dispersion relations, Mathematics, perturbation theory
Colon, Biophysics, Rectum, Physiological, cellular and medical topics, long range coupling, periodic solutions, Muscle, Smooth, stability, weak coupling, nearest neighbor coupling, Models, Biological, Dynamics of a system of particles, including celestial mechanics, lateral inhibition, Oscillometry, rings of coupled oscillators, Animals, Hopf bifurcation, inductively coupled van der Pol model, General biology and biomathematics, Dispersion relations, Mathematics, perturbation theory
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