• DDE-BIFTOOL

  • Referenced in 178 articles [sw02396]
  • numerical bifurcation and stability analysis of delay differential equations with several fixed discrete and/or state...
  • dde23

  • Referenced in 114 articles [sw10139]
  • dde23. Solve delay differential equations (DDEs) with constant delays...
  • XPPAUT

  • Referenced in 226 articles [sw05543]
  • other useful routines. Differential equations, maps, stochastic systems, delay equations, integral equations, and other systems...
  • RADAR5

  • Referenced in 23 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...
  • DELSOL

  • Referenced in 18 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...
  • PDDE-CONT

  • Referenced in 18 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...
  • TRACE-DDE

  • Referenced in 15 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...
  • Knut

  • Referenced in 15 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...
  • deSolve

  • Referenced in 10 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...
  • VFGEN

  • Referenced in 13 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...
  • OreModules

  • Referenced in 29 articles [sw06226]
  • objects for linear systems of differential equations, time-delay systems, etc. The package OreModules, based...
  • OreMorphisms

  • Referenced in 7 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...
  • Time-Delay System Toolbox

  • Referenced in 6 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...
  • Bio-PEPAd

  • Referenced in 5 articles [sw10690]
  • algorithm (DSSA) and as sets of delay differential equations (DDEs), the deterministic framework for modeling...
  • AnT 4.669

  • Referenced in 4 articles [sw07984]
  • dynamical systems, e.g. maps, ordinary and delay differential equations, etc., as well as many...
  • PDDE

  • Referenced in 2 articles [sw07608]
  • dimensional heat conduction equation and the wave equation we obtained conditions on the weight coefficients ... form of software package partial delay differential equations (PDDE) toolbox...
  • Colsol-DDE

  • Referenced in 1 article [sw09397]
  • Impulsive hybrid discrete-continuous delay differential equations. This thesis deals with impulsive hybrid discrete-continuous ... delay differential equations (IHDDEs). This new class of differential equations is highly challenging ... side function on past states, with time delays that depend on the current state. Second...
  • ParamEDE

  • Referenced in 1 article [sw09398]
  • Impulsive hybrid discrete-continuous delay differential equations. This thesis deals with impulsive hybrid discrete-continuous ... delay differential equations (IHDDEs). This new class of differential equations is highly challenging ... side function on past states, with time delays that depend on the current state. Second...
  • Simulx

  • Referenced in 1 article [sw09386]
  • ordinary differential equations (ODEs) and delayed differential equations (DDEs). Simulx takes advantage of the modularity...