
AUTO
 Referenced in 740 articles
[sw01059]
 AUTO is a software for continuation and bifurcation problems in ordinary differential equations, originally developed ... Chenghai Zhang. AUTO can do a limited bifurcation analysis of algebraic systems of the form ... also includes the software HOMCONT for the bifurcation analysis of homoclinic orbits. AUTO is quite...

AUTO86
 Referenced in 261 articles
[sw04220]
 AUTO is a software for continuation and bifurcation problems in ordinary differential equations, originally developed ... Chenghai Zhang.AUTO can do a limited bifurcation analysis of algebraic systems of the formf ... also includes the software HOMCONT for the bifurcation analysis of homoclinic orbits. AUTO is quite...

MATCONT
 Referenced in 251 articles
[sw00551]
 MATCONT: Matlab software for bifurcation study of dynamical systems. The study of differential equations requires ... computation of normal form coefficients for bifurcations of limit cycles. The software is free...

DDEBIFTOOL
 Referenced in 251 articles
[sw02396]
 BIFTOOL is a Matlab package for numerical bifurcation and stability analysis of delay differential equations ... steady state solutions, their Hopf and fold bifurcations, periodic solutions and connecting orbits...

XPPAUT
 Referenced in 332 articles
[sw05543]
 dynamic systems. It includes AUTO, a bifurcation package, as well as dozens of other useful...

HomCont
 Referenced in 204 articles
[sw14927]
 University), is a numerical toolbox for homoclinic bifurcation analysis. It is designed for use with...

Dynamics
 Referenced in 160 articles
[sw09100]
 periodic orbits of a specified period, bifurcation diagrams, the search for stable and unstable manifolds...

AUTO07P
 Referenced in 153 articles
[sw04961]
 CONTINUATION AND BIFURCATION PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS: AUTO07p is the successor to both...

DSTool
 Referenced in 100 articles
[sw06719]
 draw trajectories, to find fixed points or bifurcation points. Dynamical systems arise in many disciplins...

LOCBIF
 Referenced in 62 articles
[sw07928]
 Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps. We present ... numerical technique for the analysis of local bifurcations which is based on the continuation ... codimension three singularities. We introduce several bifurcation functions and show how to use them...

AUTO2000
 Referenced in 49 articles
[sw04643]
 AUTO is a software for continuation and bifurcation problems in ordinary differential equations, originally developed ... Chenghai Zhang. AUTO can do a limited bifurcation analysis of algebraic systems of the form ... also includes the software HOMCONT for the bifurcation analysis of homoclinic orbits. AUTO is quite...

SlideCont
 Referenced in 39 articles
[sw00877]
 SLIDECONT, an AUTO97 driver for sliding bifurcation analysis of discontinuous piecewisesmooth autonomous systems, known ... Filippov systems, is described in detail. Sliding bifurcations are those in which some sliding ... detection and continuation of codimension $1$ sliding bifurcations as well as detection of some codimension ... attention to planar systems $(n=2)$. Some bifurcations are also supported for $n$dimensional systems...

CONTENT
 Referenced in 30 articles
[sw01058]
 Bifurcations of maps in the software package CONTENT. The qualitative behaviour of iterates ... fixed point typically moves until a bifurcation value is reached and one of three possible ... These are fold, flip and Neimark  Sacker bifurcations; they are called codimension one phenomena because ... including strong resonances and degenerate Neimark  Sacker bifurcations. The paper provides details on defining systems...

ALCON
 Referenced in 34 articles
[sw05315]
 including, in particular, the computation of simple bifurcation points and branch switching at such points ... system, and without computation of bifurcations: http://elib.zib.de/pub/elib/codelib/alcon1/alcon1.f ALCON2: (Al)gebraic system of equations ... system, and with computation of simple bifurcations. http://elib.zib.de/pub/elib/codelib/alcon2/alcon2.f...

CL_MATCONT
 Referenced in 47 articles
[sw07132]
 MatCont is to provide a continuation and bifurcation toolbox which is compatible with the standard...

FronTier
 Referenced in 39 articles
[sw12957]
 especially in the 3D handling of topological bifurcations. We also assess the performance...

PDDECONT
 Referenced in 23 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 ... periodic orbits, and for continuing codimensionone bifurcations of equilibria and periodic orbits...

LOCA
 Referenced in 21 articles
[sw04717]
 software library for performing bifurcation analysis of largescale applications. The source code has been ... system parameters and the direct tracking of bifurcation points. LOCA (which is written ... approach in LOCA for locating and tracking bifurcations begins with augmenting the residual equations defining ... state with additional equations that describe the bifurcation. A Newton method is then formulated...

ENTWIFE
 Referenced in 18 articles
[sw04255]
 analysing nonlinear problems that may exhibit bifurcation phenomena. The program can be used to compute ... solution branches, various bifurcation points, and paths of bifurcation points. It can also be used...

TCHAT
 Referenced in 17 articles
[sw13068]
 developed software program TCHAT, to perform bifurcation analysis of systems in which continuous ... periodic trajectories and selected associated codimensionone bifurcations in such systems are presented. Finally ... program are illustrated by performing bifurcation analysis of a few example hybrid dynamical systems...