Differential systems with feedback: Time discretizations and Lyapunov functions

DOI10.1023/B:JODY.0000009750.14308.09zbMath1044.65059OpenAlexW2009427886MaRDI QIDQ1425234

John Mallet-Paret, George R. Sell

Publication date: 15 March 2004

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:jody.0000009750.14308.09

zbMATH Keywords

Lyapunov functionscyclic systemtime discretizationEuler discretization schemeStandard Form Model

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Control/observation systems governed by functional-differential equations (93C23) Control problems for functional-differential equations (34K35) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (6)

Weighted bounded solutions for a class of nonlinear fractional equations ⋮ John Mallet-Paret 60 ⋮ Morse decompositions for delay-difference equations ⋮ Global asymptotic stability of a generalization of the Pielou difference equation ⋮ Periodic, nonperiodic, and chaotic solutions for a class of difference equations with negative feedback ⋮ On the geometric diversity of wavefronts for the scalar Kolmogorov ecological equation

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