Global continua of periodic solutions to some difference-differential equations of neutral type
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Publication:1802565
DOI10.2748/tmj/1178225955zbMath0778.34054OpenAlexW2082333089MaRDI QIDQ1802565
Publication date: 17 June 1993
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1178225955
periodic solutionsneutral equationsexampleretarded equationsglobal bifurcation theoremslossless transmission lineslocal Hopf bifurcation theorem of Krasnosel'skij type
Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Neutral functional-differential equations (34K40) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)
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Bifurcation analysis in a two-dimensional neutral differential equation ⋮ Global Hopf bifurcations of neutral functional differential equations with state-dependent delay ⋮ Bifurcation analysis in a neutral differential equation ⋮ Periodic solutions of abstract neutral functional differential equations ⋮ Double Hopf bifurcation in a container crane model with delayed position feedback ⋮ Global Hopf bifurcation for differential-algebraic equations with state-dependent delay ⋮ Equivalence of the MTS Method and CMR Method for Differential Equations Associated with Semisimple Singularity ⋮ Global Hopf bifurcation of differential equations with threshold type state-dependent delay ⋮ Global Hopf bifurcation analysis for a time-delayed model of asset prices ⋮ Global Hopf bifurcation for differential equations with state-dependent delay ⋮ Global continua of rapidly oscillating periodic solutions of state-dependent delay differential equations ⋮ Periodic solutions of abstract neutral functional differential equations with infinite delay.
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