
AUTO
 Referenced in 958 articles
[sw01059]
 software for continuation and bifurcation problems in ordinary differential equations, originally developed by Eusebius Doedel ... HOMCONT for the bifurcation analysis of homoclinic orbits. AUTO is quite fast and can benefit...

ORBIT
 Referenced in 39 articles
[sw20552]
 employed. The RBF models considered often allow ORBIT to interpolate nonlinear functions using fewer function ... numerical results on test problems to motivate the use of ORBIT when only a relatively ... available. Results on two very different application problems, calibration of a watershed model and optimization ... bioremediation plan, are also encouraging and support ORBIT’s effectiveness on blackbox functions for which...

AUTO86
 Referenced in 279 articles
[sw04220]
 software for continuation and bifurcation problems in ordinary differential equations, originally developed by Eusebius Doedel ... HOMCONT for the bifurcation analysis of homoclinic orbits. AUTO is quite fast and can benefit...

ADMC++
 Referenced in 2 articles
[sw07460]
 algorithms are applied to a periodic orbit problem in rigidbody dynamics and a parameter...

LOCBIF
 Referenced in 65 articles
[sw07928]
 periodic nonautonomous ODEs, fixed points and periodic orbits of iterated maps. The more general concept ... them to construct wellposed continuation problems. The described continuation technique is supported...

AUTO2000
 Referenced in 52 articles
[sw04643]
 software for continuation and bifurcation problems in ordinary differential equations, originally developed by Eusebius Doedel ... HOMCONT for the bifurcation analysis of homoclinic orbits. AUTO is quite fast and can benefit...

BRAID
 Referenced in 18 articles
[sw04311]
 orbits. They then apply these techniques to several interesting cases – in particular to the problem...

Orbital library
 Referenced in 14 articles
[sw05562]
 many scientific applications, hence the name ”Orbital library”. In order to satisfy the requirements ... flexibility, conceptual simplicity, and generalization. Many sophisticated problems can be solved easily with its adaptable...

TaylorChirikov map
 Referenced in 4 articles
[sw11186]
 ordered periodic orbits of area preserving twist maps. Nature of problem: The study of area ... orbits of these maps, particularly in the presence of large nonlinearities. Solution method: The problem ... Newton algorithm is used to calculate the orbits. Good initial conditions for the Newton scheme...

navierstokes
 Referenced in 9 articles
[sw40625]
 obtain constructive proofs of existence of periodic orbits in the forced autonomous NavierStokes equations ... proposed. After introducing a zero finding problem posed on a Banach space of geometrically decaying ... problem to be solved. As applications, we present proofs of existence of spontaneous periodic orbits...

CANDYS/QA
 Referenced in 9 articles
[sw01219]
 problems is treated: computation of invariant sets (e.g., steadystates and periodic orbits), pathfollowing ... perioddoubling, torus bifurcation points (oneparameter problems) as well as cusp and TakensBogdanov...

EMPIREPIC
 Referenced in 3 articles
[sw40499]
 code against three benchmark problems  a simple electron orbit, an electrostatic Langmuir wave...

UPOsHam
 Referenced in 3 articles
[sw32805]
 array of problems in physical sciences and engineering. The unstable periodic orbits exist...

KEPLER
 Referenced in 2 articles
[sw08618]
 equations. For the Kepler problem, the space of the orbits with a fixed energy ... minimum, to which correspond two periodic orbits in physical space. Studying the neighbourhood of these ... then applied to the StarkQuadraticZeeman problem, displaying very clearly the Arnold ... revolutions) frequency analysis on an orbit starting here reveals, as expected, a well defined pattern...

OpenOrb
 Referenced in 1 article
[sw35493]
 OpenOrb: Opensource asteroid orbit computation software. OpenOrb (OOrb) contains tools for rigorously estimating ... uncertainties resulting from the inverse problem of computing orbital elements using scarce astrometry. It uses...

Mercury
 Referenced in 1 article
[sw16732]
 software package for carrying out orbital integrations for problems in solarsystem dynamics. Suitable applications ... stability of the planetary system, investigating the orbital evolution of comets, asteroids or meteoroids...

EXOFAST
 Referenced in 4 articles
[sw27087]
 intrinsically circular orbits to significantly nonzero results, discuss a problem with IDL’s built...

DISPRO
 Referenced in 7 articles
[sw14791]
 planning system [60]; PTP, optimization of transportation problems [58]; PMP, separable and parametric linear programming ... unconstrained optimization, nonlinear programming, and optimal control; ORBITAL’, unconstrained optimization and approximation [61]; NDO, nondifferentiable ... structure), large dimensionality of the relevant problems, operating reliability, commercial development of packages, and their...

dmft
 Referenced in 2 articles
[sw10221]
 consistency equations for (single orbital single site) dynamical meanfield problems with arbitrary densities...

GIZMO
 Referenced in 3 articles
[sw39401]
 test problems, and find that on all problems the new methods appear competitive with moving ... example, follow hundreds of orbits of gaseous disks, while AMR and SPH methods break down ... orbits. However, fixed meshes minimize ’grid noise.’ These differences are important for a range ... astrophysical problems...