• DDE-BIFTOOL

  • Referenced in 318 articles [sw02396]
  • numerical bifurcation and stability analysis of delay differential equations with several fixed discrete and/or state...
  • dde23

  • Referenced in 163 articles [sw10139]
  • dde23. Solve delay differential equations (DDEs) with constant delays...
  • XPPAUT

  • Referenced in 423 articles [sw05543]
  • other useful routines. Differential equations, maps, stochastic systems, delay equations, integral equations, and other systems...
  • deSolve

  • Referenced in 53 articles [sw04499]
  • differential algebraic equations (DAE), and delay differential equations (DDE) , Functions that solve initial value problems ... differential algebraic equations (DAE), and of delay differential equations. The functions provide an interface...
  • RADAR5

  • Referenced in 36 articles [sw08709]
  • Implementing Radau IIA methods for stiff delay differential equations. This article discusses the numerical solution ... general class of delay differential equations, including stiff problems, differential-algebraic delay equations, and neutral...
  • DifferentialEquations.jl

  • Referenced in 35 articles [sw23910]
  • differential equations, stochastic differential equations, algebraic differential equations, delay differential equations, hybrid differential equations, jump...
  • TRACE-DDE

  • Referenced in 30 articles [sw12801]
  • Robust Analysis and Characteristic Equations for Delay Differential Equations. In the recent years the authors ... involving delayed terms. The base of all methods is the use of pseudospectral differentiation techniques ... charts of linear autonomous systems of delay differential equations with discrete and distributed delays...
  • PDDE-CONT

  • Referenced in 29 articles [sw08419]
  • Continuation and bifurcation analysis of delay differential equations This is a review article on numerical ... continuation and bifurcation analysis methods for delay differential equations (DDEs). The article is not meant ... treatment of neutral equations or state-dependent delays. The authors also discuss briefly, and refer...
  • DELSOL

  • Referenced in 23 articles [sw01077]
  • solution of systems of delay- differential equations. Delay-differential equations arise widely in many fields ... DELSOL written to solve systems of such equations. Special attention is given to the program ... observations pertinent to the design of delay-differential software...
  • Knut

  • Referenced in 26 articles [sw08420]
  • continuation code primarily for delay differential equation with constant and time dependent delays ... also be used for differential-algebraic delay equations and consequently neutral delay equations. This ... with built-in equation parser and symbolic differentiator. The code is written...
  • ddesd

  • Referenced in 20 articles [sw35136]
  • consider the numerical integration of ordinary differential equations (ODEs) with Runge-Kutta methods that have ... effective program, ddesd, to solve delay differential equations (DDEs) with time- and state-dependent delays...
  • OreModules

  • Referenced in 42 articles [sw06226]
  • objects for linear systems of differential equations, time-delay systems, etc. The package OreModules, based...
  • VFGEN

  • Referenced in 14 articles [sw00995]
  • ordinary differential equations and for delay-differential equations. Symbolic differentiation is used to generate Jacobians ... single definition of the user’s equations, VFGEN can generate code for initial value problem ... field with its variational equation, converting delay equations to finite dimensional approximations, and for generating ... given order) to the solution to a differential equation...
  • Time-Delay System Toolbox

  • Referenced in 12 articles [sw16539]
  • analysis of systems with delays (functional differential equations). Time-Delay System Toolbox provides support ... possibly time-varying) delays, time-domain analysis of linear systems with delays, analytical design techniques ... methods and control design algorithms, realized Time-Delay System Toolbox, are direct generalization ... theory of ordinary differential equations (ODE), i.e. if delays disappear then all algorithms coincide with...
  • OreMorphisms

  • Referenced in 12 articles [sw11235]
  • partial differential or difference equations, differential time-delay systems). In particular, we explicitly show ... interior mass [15]) formed by 4 equations in 6 unknowns and prove that ... equivalent to a simple equation in 3 unknowns. We finally give a list ... reductions of classical systems of differential time-delay equations and partial differential equations coming from...
  • SYSDEL

  • Referenced in 6 articles [sw35134]
  • numerical method for vanishing-lag delay differential equations. This paper presents a numerical method ... solving vanishing-lag delay differential equations. For asymptotically vanishing-lag as t →∞, once ... solving an ordinary differential equation which approximates the original delay equation. Numerical tests, by means...
  • pydelay

  • Referenced in 5 articles [sw16849]
  • Pydelay - a python tool for solving delay differential equations. pydelay is a program which translates ... system of delay differential equations (DDEs) into simulation C-code and compiles and runs...
  • JiTCODE

  • Referenced in 5 articles [sw24715]
  • Efficiently and easily integrating differential equations with JiTCODE, JiTCDDE, and JiTCSDE. We present a family ... numerical integration of ordinary, delay, or stochastic differential equations. The key features are that ... particularly suited for large systems of differential equations such as those used to describe dynamics ... transversal Lyapunov exponents for ordinary and delay differential equations. We conceptually discuss the modules’ design...
  • DiffEqFlux

  • Referenced in 6 articles [sw27559]
  • ability to incorporate DifferentialEquations.jl-defined differential equation problems into a Flux-defined neural network ... followed by a demonstration of delay differential equations and stochastic differential equations inside of neural...
  • Bio-PEPAd

  • Referenced in 5 articles [sw10690]
  • algorithm (DSSA) and as sets of delay differential equations (DDEs), the deterministic framework for modeling...