
DDEBIFTOOL
 Referenced in 227 articles
[sw02396]
 numerical bifurcation and stability analysis of delay differential equations with several fixed discrete and/or state...

dde23
 Referenced in 124 articles
[sw10139]
 dde23. Solve delay differential equations (DDEs) with constant delays...

XPPAUT
 Referenced in 288 articles
[sw05543]
 other useful routines. Differential equations, maps, stochastic systems, delay equations, integral equations, and other systems...

deSolve
 Referenced in 26 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 25 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, differentialalgebraic delay equations, and neutral...

TRACEDDE
 Referenced in 21 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...

DELSOL
 Referenced in 20 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 ... observations pertinent to the design of delaydifferential software...

PDDECONT
 Referenced in 21 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...

Knut
 Referenced in 18 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 ... with builtin equation parser and symbolic differentiator. The code is written...

VFGEN
 Referenced in 13 articles
[sw00995]
 ordinary differential equations and for delaydifferential 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 32 articles
[sw06226]
 objects for linear systems of differential equations, timedelay systems, etc. The package OreModules, based...

OreMorphisms
 Referenced in 8 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 ... reductions of classical systems of differential timedelay equations and partial differential equations coming from...

TimeDelay System Toolbox
 Referenced in 7 articles
[sw16539]
 analysis of systems with delays (functional differential equations). TimeDelay System Toolbox provides support ... possibly timevarying) delays, timedomain analysis of linear systems with delays, analytical design techniques ... 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...

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

PDDE
 Referenced in 4 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...

AnT 4.669
 Referenced in 4 articles
[sw07984]
 dynamical systems, e.g. maps, ordinary and delay differential equations, etc., as well as many...

pydelay
 Referenced in 2 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...

JiTCDDE
 Referenced in 2 articles
[sw24714]
 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...

JiTCODE
 Referenced in 2 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 2 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...