
Dynamics
 Referenced in 160 articles
[sw09100]
 straddle trajectories, the search for all periodic orbits of a specified period, bifurcation diagrams...

DDEBIFTOOL
 Referenced in 251 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...

LOCBIF
 Referenced in 62 articles
[sw07928]
 periodic nonautonomous ODEs, fixed points and periodic orbits of iterated maps. The more general concept...

channelflow
 Referenced in 38 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...

PDDECONT
 Referenced in 24 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...

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

LorenzDatabase
 Referenced in 5 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...

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...

POMULT
 Referenced in 6 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...

CoNtRol
 Referenced in 8 articles
[sw14067]
 structural tests for multiple equilibria, stable periodic orbits, convergence to equilibria and persistence, with...

TADD
 Referenced in 6 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...

ManLab
 Referenced in 3 articles
[sw12525]
 continuation, stability and bifurcation analysis of periodic orbits of a given dynamical system, using...

ADMC++
 Referenced in 1 article
[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...

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...

Openpipeflow
 Referenced in 2 articles
[sw30456]
 nonlinear invariant solutions (equilibria and periodic orbits) and their influence on the dynamics...

PARSEC
 Referenced in 17 articles
[sw22333]
 features are: Choice of boundary conditions: periodic (on all three directions), or confined. Structural relaxation ... calculations (confinedsystem boundary conditions only). Spinorbit coupling. Noncollinear magnetism...

PDDEBIFTOOL
 Referenced in 1 article
[sw19540]
 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...

AEGISK
 Referenced in 1 article
[sw02809]
 particle resonance effects. Periodic boundary condition along the whole banana orbit is introduced to treat...