Asymptotic properties of the spectrum of neutral delay differential equations

DOI10.1080/14689360902893285zbMath1182.37047arXiv1201.5957OpenAlexW3099600462MaRDI QIDQ3643146

Konstantin B. Blyuss, Eckehard Schöll, Philipp Hövel, Yuliya N. Kyrychko

Publication date: 10 November 2009

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5957

zbMATH Keywords

stabilitydelay differential equationspectral propertiesneutral delay differential equation

Mathematics Subject Classification ID

Oscillation theory of functional-differential equations (34K11) Neutral functional-differential equations (34K40) Dynamical systems in control (37N35)

Related Items (4)

On distribution of the roots for an exponential polynomial equation with applications ⋮ Time delay Duffing's systems: chaos and chatter control ⋮ Numerical Stability Test of Linear Time-Delay Systems of Neutral Type ⋮ Calculating characteristic roots of multi-delayed systems with accumulation points via a definite integral method

Cites Work

• High-dimensional chaos in delayed dynamical systems
• Bifurcation analysis of a neutral delay differential equation modelling the torsional motion of a driven drill-string.
• Structured population models, conservation laws, and delay equations
• On the Lambert \(w\) function
• Solution operator approximations for characteristic roots of delay differential equations
• Pseudospectral approximation of eigenvalues of derivative operators with nonlocal boundary conditions
• Real-time dynamic substructuring in a coupled oscillator–pendulum system
• Homoclinic bifurcations in a neutral delay model of a transmission line oscillator
• Controlling chaos
• On Stability of LMS Methods and Characteristic Roots of Delay Differential Equations
• Nonlinear Stability of a Delayed Feedback Controlled Container Crane

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