Weakly Nonlinear Theory for Oscillatory Dynamics in a One-Dimensional PDE-ODE Model of Membrane Dynamics Coupled by a Bulk Diffusion Field

DOI10.1137/19M1304908zbMath1446.37071arXiv1912.04237MaRDI QIDQ3298127

Michael J. Ward, Wayne Nagata, Frédéric Paquin-Lefebvre

Publication date: 21 July 2020

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

Full work available at URL: https://arxiv.org/abs/1912.04237

zbMATH Keywords

Hopf bifurcationLyapunov exponentsmultiscale expansionweakly nonlinear theorysynchronous chaosin-phase/antiphase oscillations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Membranes (74K15) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30) Pattern formations in context of PDEs (35B36)

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Cites Work

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