Bifurcation of synchronized periodic solutions in systems of coupled oscillators. I: Perturbation results for weak and strong coupling
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Publication:1328249
DOI10.1216/rmjm/1181072504zbMath0807.34054OpenAlexW2077735218MaRDI QIDQ1328249
Publication date: 20 September 1994
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/rmjm/1181072504
Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)
Related Items (2)
Bifurcation of synchronized periodic solutions in systems of coupled oscillators. II: Global bifurcation in coupled planar oscillators ⋮ Synchronization of oscillators coupled through an environment
Cites Work
- An analytical and numerical study of the bifurcations in a system of linearly-coupled oscillators
- On the collapse of the resonance structure in a three-parameter family of coupled oscillators
- Geometric singular perturbation theory for ordinary differential equations
- Persistence of invariant tori in systems of coupled oscillators. I: Regular and singular problems
- The effects of cell density and metabolite flux on cellular dynamics
- Bifurcation of synchronized periodic solutions in systems of coupled oscillators. II: Global bifurcation in coupled planar oscillators
- Nonlinear autonomous oscillations. Analytical theory
- The stable, center-stable, center, center-unstable, unstable manifolds
- m-full ideals
- Persistence of Invariant Tori in Systems of Coupled Oscillators. II. Degenerate Problems
- On limit cycles in systems of differential equations with a small parameter in the highest derivatives
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