Illustrative applications of the theory of delay dynamical systems

DOI10.1016/S0895-7177(03)90047-1zbMath1097.34061OpenAlexW2017346038MaRDI QIDQ597426

B. Q. Cabell, P. B. Ryba, M. F. Usilton, N. Vawter, Mustapha S. Fofana

Publication date: 6 August 2004

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(03)90047-1

zbMATH Keywords

HopfTime delaybifurcation theoremCentre manifold theoremSemigroup of operators

Mathematics Subject Classification ID

Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19) Kinematics (70B99)

Related Items (2)

Dynamics for a class of nonlinear systems with time delay ⋮ A perturbation-incremental scheme for studying Hopf bifurcation in delayed differential systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Stability of functional differential equations
• Limit cycles, tori, and complex dynamics in a second-order differential equation with delayed negative feedback
• The effects of nonlinearity in turning operation
• Aspects of stable and unstable machining by Hopf bifurcation
• Delay equations. Functional-, complex-, and nonlinear analysis
• Hopf Bifurcation and Stability of Periodic Solutions of Differential-difference and Integro-differential Equations

This page was built for publication: Illustrative applications of the theory of delay dynamical systems