Bifurcation and Stability of n Coupled Droplet Oscillators with $S_n$ Symmetry

DOI10.1137/100808940zbMath1385.70041OpenAlexW2022564920MaRDI QIDQ3097530

Paul H. Steen, D. M. Slater

Publication date: 10 November 2011

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100808940

zbMATH Keywords

dynamical systemscoupled oscillatorsnonlinearitydrops and bubblesbifurcation and symmetry breaking

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

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