A secondary bifurcation problem of weakly coupled oscillators with time delay

DOI10.1007/BF03167099zbMath0617.34069OpenAlexW2060091477MaRDI QIDQ4726664

Yoshihisa Morita

Publication date: 1986

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167099

zbMATH Keywords

time delayHopf bifurcationweakly coupled oscillatorsretarded functional differential equationsfirst order differential equation

Mathematics Subject Classification ID

Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Cites Work

• Unnamed Item
• Unnamed Item
• Group representation theory, bifurcation theory and pattern formation
• The existence of periodic solutions of \(f'(x)=-\alpha f(x-1)(1+f(x))\)
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Stability changes of periodic solutions to a coupled nonlinear equation with time delay
• Control of mitosis by a continuous biochemical oscillation: synchronization; spatially inhomogeneous oscillations
• Periodic solutions of two species interaction models with lags
• Theory of functional differential equations. 2nd ed
• Integral averaging and bifurcation
• Synergism and antagonism of neurons caused by an electrical synapse
• Destabilization of periodic solutions arising in delay-diffusion systems in several space dimensions
• A non-linear difference-differential equation.