
Dynamics
 Referenced in 141 articles
[sw09100]
 straddle trajectories, the search for all periodic orbits of a specified period, bifurcation diagrams...

DDEBIFTOOL
 Referenced in 178 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 60 articles
[sw07928]
 periodic nonautonomous ODEs, fixed points and periodic orbits of iterated maps. The more general concept...

PDDECONT
 Referenced in 18 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...

channelflow
 Referenced in 22 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...

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 5 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...

E&F Chaos
 Referenced in 7 articles
[sw00233]
 steady states and the presence of periodic orbits and chaos by standard numerical simulation techniques...

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...

LorenzDatabase
 Referenced in 2 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 4 articles
[sw14067]
 structural tests for multiple equilibria, stable periodic orbits, convergence to equilibria and persistence, with...

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...

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

ppp_bulk.x
 Referenced in 1 article
[sw10440]
 periodic πconjugated system lying in the xyplane, the singleparticle Bloch orbitals...

RMFAXIAL.f
 Referenced in 3 articles
[sw10770]
 finite nuclei spread over the entire periodic table including those away from the stability line ... result nuclear saturation and the correct spinorbit splitting emerges automatically. Initially RMF theory...

TOMBO
 Referenced in 1 article
[sw16832]
 describe both spatially localized and extended orbitals, which enables us to perform allelectron calculations ... with high accuracy from isolated clusters to periodic crystals. The present paper describes a theory...