
XPPAUT
 Referenced in 464 articles
[sw05543]
 routines. Differential equations, maps, stochastic systems, delay equations, integral equations, and other systems are easily...

DDEBIFTOOL
 Referenced in 333 articles
[sw02396]
 numerical bifurcation and stability analysis of delay differential equations with several fixed discrete and/or state...

dde23
 Referenced in 176 articles
[sw10139]
 dde23. Solve delay differential equations (DDEs) with constant delays...

deSolve
 Referenced in 67 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...

DifferentialEquations.jl
 Referenced in 58 articles
[sw23910]
 equations, stochastic differential equations, algebraic differential equations, delay differential equations, hybrid differential equations, jump diffusions...

RADAR5
 Referenced in 41 articles
[sw08709]
 Implementing Radau IIA methods for stiff delay differential equations. This article discusses the numerical solution ... equations, including stiff problems, differentialalgebraic delay equations, and neutral problems. The delays...

Knut
 Referenced in 30 articles
[sw08420]
 continuation code primarily for delay differential equation with constant and time dependent delays ... also be used for differentialalgebraic delay equations and consequently neutral delay equations. This...

TRACEDDE
 Referenced in 30 articles
[sw12801]
 Tool for Robust Analysis and Characteristic Equations for Delay Differential Equations. In the recent years ... properties of different classes of systems involving delayed terms. The base of all methods ... charts of linear autonomous systems of delay differential equations with discrete and distributed delays...

PDDECONT
 Referenced in 30 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 statedependent delays. The authors also discuss briefly, and refer ... chattering, and the classical MackeyGlass equation...

DELSOL
 Referenced in 24 articles
[sw01077]
 solution of systems of delay differential equations. Delaydifferential equations arise widely in many fields ... DELSOL written to solve systems of such equations. Special attention is given to the program ... technical observations pertinent to the design of delaydifferential software...

VFGEN
 Referenced in 14 articles
[sw00995]
 ordinary differential equations and for delaydifferential equations. Symbolic differentiation is used to generate Jacobians ... field with its variational equation, converting delay equations to finite dimensional approximations, and for generating...

OreModules
 Referenced in 42 articles
[sw06226]
 objects for linear systems of differential equations, timedelay systems, etc. The package OreModules, based...

NEURON
 Referenced in 189 articles
[sw03059]
 parallel network simulations. Each processor integrates the equations for its subnet over an interval equal ... spike generation to postsynaptic spike delivery connection delay. The performance of three published network models...

ddesd
 Referenced in 20 articles
[sw35136]
 consider the numerical integration of ordinary differential equations (ODEs) with RungeKutta methods that have ... effective program, ddesd, to solve delay differential equations (DDEs) with time and statedependent delays...

OreMorphisms
 Referenced in 12 articles
[sw11235]
 partial differential or difference equations, differential timedelay 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 of reductions ... classical systems of differential timedelay equations and partial differential equations coming from control theory...

TimeDelay System Toolbox
 Referenced in 12 articles
[sw16539]
 systems with delays (functional differential equations). TimeDelay System Toolbox provides support for: numerical simulation ... methods and control design algorithms, realized TimeDelay System Toolbox, are direct generalization ... theory of ordinary differential equations (ODE), i.e. if delays disappear then all algorithms coincide with...

SYSDEL
 Referenced in 6 articles
[sw35134]
 numerical method for vanishinglag delay differential equations. This paper presents a numerical method ... solving vanishinglag delay differential equations. For asymptotically vanishinglag as t →∞, once ... differential equation which approximates the original delay equation. Numerical tests, by means of a Fortran...

JiTCODE
 Referenced in 9 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...

JiTCSDE
 Referenced in 8 articles
[sw24716]
 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...

pydelay
 Referenced in 6 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 Ccode and compiles and runs...