
Dynamics
 Referenced in 179 articles
[sw09100]
 straddle trajectories, the search for all periodic orbits of a specified period, bifurcation diagrams...

DDEBIFTOOL
 Referenced in 333 articles
[sw02396]
 their Hopf and fold bifurcations, periodic solutions and connecting orbits (but the latter only ... rightmost characteristic roots. Periodic solutions, their Floquet multipliers and connecting orbits are computed using piecewise...

channelflow
 Referenced in 74 articles
[sw07526]
 example) compute equilibria, traveling waves, and periodic orbits of NavierStokes. Channelflow provides these algorithms ... Fourier expansions appropriate for rectangular geometries with periodic boundary conditions in two directions and rigid...

LOCBIF
 Referenced in 65 articles
[sw07928]
 periodic nonautonomous ODEs, fixed points and periodic orbits of iterated maps. The more general concept...

PDDECONT
 Referenced in 30 articles
[sw08419]
 stability analysis of equilibria and periodic orbits, and for continuing codimensionone bifurcations of equilibria ... periodic orbits. par In its second part the review covers more specialist topics such ... computation and continuation of connecting orbits or quasiperiodic tori, and the treatment of neutral...

Openpipeflow
 Referenced in 16 articles
[sw30456]
 nonlinear invariant solutions (equilibria and periodic orbits) and their influence on the dynamics...

E&F Chaos
 Referenced in 15 articles
[sw00233]
 steady states and the presence of periodic orbits and chaos by standard numerical simulation techniques...

navierstokes
 Referenced in 8 articles
[sw40625]
 Spontaneous periodic orbits in the NavierStokes flow. In this paper, a general method ... obtain constructive proofs of existence of periodic orbits in the forced autonomous NavierStokes equations ... present proofs of existence of spontaneous periodic orbits in the NavierStokes equations with Taylor...

POMULT
 Referenced in 8 articles
[sw00725]
 POMULT: a program for computing periodic orbits in Hamiltonian systems based on multiple shooting algorithms ... Fortran 77 code for locating periodic orbits and equilibrium points in Hamiltonian systems. The method...

LorenzDatabase
 Referenced in 6 articles
[sw14477]
 database of rigorous and highprecision periodic orbits of the Lorenz model. A benchmark database ... numerical and validated initial conditions of periodic orbits for the Lorenz model is presented. This ... provides the initial conditions of all periodic orbits of the Lorenz model up to multiplicity ... initial conditions of the periodic orbits, and intervals of size 10100 that prove the existence...

CoNtRol
 Referenced in 11 articles
[sw14067]
 structural tests for multiple equilibria, stable periodic orbits, convergence to equilibria and persistence, with...

CANDYS/QA
 Referenced in 9 articles
[sw01219]
 invariant sets (e.g., steadystates and periodic orbits), pathfollowing (continuation) of such sets ... during pathfollowing: turning, bifurcation, Hopf bifurcation, perioddoubling, torus bifurcation points (oneparameter problems...

TADD
 Referenced in 7 articles
[sw02821]
 consists of critical points, separatrices, and periodic orbits. The framework is based on Forman...

TaylorChirikov map
 Referenced in 4 articles
[sw11186]
 programs for the calculation of ordered periodic orbits of area preserving twist maps. Nature ... facilitate the calculation of ordered periodic orbits of these maps, particularly in the presence...

UPOsHam
 Referenced in 3 articles
[sw32805]
 Python package for computing unstable periodic orbits in twodegreeoffreedom Hamiltonian systems. This ... three methods for computing unstable periodic orbits in Hamiltonian systems that model a diverse array ... physical sciences and engineering. The unstable periodic orbits exist in the bottleneck of the equipotential...

ADMC++
 Referenced in 2 articles
[sw07460]
 Periodic orbits of hybrid systems and parameter estimation via AD Periodic processes are ubiquitous ... these processes with high fidelity as periodic orbits of dynamical systems is challenging. Moreover, mathematical ... This paper describes techniques for computing periodic orbits in systems of hybrid differentialalgebraic equations ... optimization. The resulting algorithms allow periodic orbits to be computed to high accuracy using coarse...

ManLab
 Referenced in 4 articles
[sw12525]
 continuation, stability and bifurcation analysis of periodic orbits of a given dynamical system, using...

Horseshoe
 Referenced in 2 articles
[sw13749]
 braid type invariants of horseshoe periodic orbits...

KEPLER
 Referenced in 2 articles
[sw08618]
 Kepler problem, the space of the orbits with a fixed energy has the topology ... minimum, to which correspond two periodic orbits in physical space. Studying the neighbourhood of these...

HomMap
 Referenced in 1 article
[sw32278]
 homoclinic (and heteroclinic) points to periodic orbits and their bifurcations for maps. If the stable ... have to know their locations in advance. Periodically forced systems can also be analyzed with ... maps. In addition, local bifurcation analysis for periodically forced systems can be more easily performed ... version by which homoclinic orbits for periodic orbits in autonomous systems can be analyzed...