Cyclic differential equations and period three solutions of differential- delay equations

DOI10.1016/0022-0396(82)90101-2zbMath0533.34050OpenAlexW2078188423MaRDI QIDQ789594

Anthony J. B. Potter, Roger D. Nussbaum

Publication date: 1982

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90101-2

zbMATH Keywords

differential-delay equationscyclic differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items

Three-species food-chain models with mutual interference and time delays ⋮ Circulant matrices and differential-delay equations ⋮ Asymptotic and periodic boundary value problems of mixed FDEs and wave solutions of lattice differential equations ⋮ Approximation methods and the generalised Fuller index for semi-flows in Banach spaces ⋮ Enclosure, separation, and computation of the zeros of exponential trinomials with constant coefficients and real exponential points ⋮ Wright's equation has no solutions of period four

Cites Work

• Unnamed Item
• Ordinary differential equations which yield periodic solutions of differential delay equations
• A global bifurcation theorem with applications to functional differential equations
• The range of periods of periodic solutions of \(x'(t)=-\alpha f(x(t-1))\)
• The Fuller index and global Hopf bifurcation
• A Hopf Global Bifurcation Theorem for Retarded Functional Differential Equations
• Periodic solutions of special differential equations: an example in non-linear functional analysis
• Global Hopf bifurcation from a multiple eigenvalue