Local dynamics of a singularly perturbed second order equation with state-dependent delay

DOI10.1134/S0001434622050157zbMath1501.34062MaRDI QIDQ2150613

V. O. Golubenets, I. S. Kashchenko

Publication date: 30 June 2022

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

asymptoticsdelaynormal formlocal dynamics

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Theoretical approximation of solutions to functional-differential equations (34K07) Bifurcation theory of functional-differential equations (34K18) Singular perturbations of functional-differential equations (34K26) Stationary solutions of functional-differential equations (34K21) Functional-differential equations with state-dependent arguments (34K43)

Cites Work

• Criticality of Hopf bifurcation in state-dependent delay model of turning processes
• Local dynamics of an equation with a large state-dependent delay
• The Ginzburg-Landau equation as a normal form for a second-order difference-differential equation with a large delay
• Applied Delay Differential Equations
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