Dynamics of a nonstandard finite-difference scheme for a limit cycle oscillator with delayed feedback

DOI10.1155/2013/912374zbMath1271.65116OpenAlexW2047345157WikidataQ59005146 ScholiaQ59005146MaRDI QIDQ364573

Xiao-Hua Ding, Yuan Yuan Wang

Publication date: 9 September 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/912374

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Bifurcation theory of functional-differential equations (34K18) Finite difference and finite volume methods for ordinary differential equations (65L12)

Cites Work

• Unnamed Item
• Dynamics of a nonstandard finite-difference scheme for delay differential equations with unimodal feedback
• Numerical Hopf bifurcation of Runge-Kutta methods for a class of delay differential equations
• Hopf bifurcation analysis of integro-differential equation with unbounded delay
• On stability of a first-order complex delay differential equation
• Dynamics of a nonstandard finite-difference scheme for Mackey-Glass system
• Numerical Hopf bifurcation of linear multistep methods for a class of delay differential equations
• Hopf bifurcation in numerical approximation of a class delay differential equations.
• Dynamics of a limit cycle oscillator under time delayed linear and nonlinear feedbacks
• Stability analysis in a first-order complex differential equations with delay
• Bifurcation analysis in a limit cycle oscillator with delayed feedback
• A nonstandard finite-difference scheme for the Lotka--Volterra system
• Numerical Hopf bifurcation for a class of delay differential equations
• Stability and bifurcation of a two-dimension discrete neural network model with multi-delays
• Stability and bifurcation of a discrete BAM neural network model with delays
• Stability and bifurcation of numerical discretization of a second-order delay differential equation with negative feedback
• Exact finite difference and non-standard finite difference schemes for
• Existence and convergence of Neimark–Sacker bifurcation for delay differential equations using Runge–Kutta methods
• On the use of nonstandard finite difference methods†
• Elements of applied bifurcation theory

This page was built for publication: Dynamics of a nonstandard finite-difference scheme for a limit cycle oscillator with delayed feedback