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Numerical continuation

Numerical continuation is a method of computing approximate solutions of a system of parameterized nonlinear equations,

Applications, Definitions & Applications of numerical continuation techniques

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Overview

Other forms

Periodic motions

Definitions

Particular algorithms

Continuation in more than one parameter

Applications of numerical continuation techniques

Software

Examples

Books

Journal articles

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Numerical continuation

Nodes68
Edges67
Triples71
Avg. degree1.97
Density0.029412
Components1

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Numerical continuation

Top relations

related to Software · 42
Numerical continuation → A15, A16, AUTO, AUTOMATCONT, Available, BifurcationKit, COCO, Computation, Continuation Core, DDEBIFTOOL, Delay Differential Equations, Development, DSToolGAIOOSCILL8, Dynamical Systems, Fourier, GPU, HOMCONT, Included, LeuvenPyCont, LMA Marseille
related to Books · 15
Numerical continuation → Allgower, Applied Mathematics, B1, B2, Bifurcations, Dynamical Equilibria, Eugene, Govaerts, Introduction, Kurt Georg, Numerical Continuation Methods, Numerical Methods, SIAM, SIAM Classics, Willy
has application · 9
Numerical continuation → Analysis, Especially, Hopf, However, Neimark, Numerical, Parameter, Study, The
is a · 2
Numerical continuation → algorithm which takes input as a system of parametrized nonlinear equations and an initial solution, method of computing approximate solutions of a system of parameterized nonlinear equations
related to Numerical continuation · 1
Numerical continuation → Gamma

Important terminology Word statistics

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Important terminology

displaystyle continuation solution parameter system nonlinear lambda bifurcation point equations numerical jacobian systems mathbf space dynamical method solutions initial analysis

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Numerical continuationis amethod of computing approximate solutions of a system of parameterized nonlinear equations0.90text
Numerical continuationis aalgorithm which takes input as a system of parametrized nonlinear equations and an initial solution0.90text
pseudo-arclength continuation must be usedinstance ofa more sophisticated method0.80text
the Lorenz equationsinstance ofresearch using these techniques has provided the possibility of finding stable manifolds and bifurcations to invariant-tori in the case of the restricted three-body problem in N…0.80text
Numerical continuationhas applicationNumerical0.60section
Numerical continuationhas applicationThe0.60section
Numerical continuationhas applicationHowever0.60section
Numerical continuationhas applicationAnalysis0.60section
Numerical continuationhas applicationStudy0.60section
Numerical continuationhas applicationHopf0.60section
Numerical continuationhas applicationNeimark0.60section
Numerical continuationhas applicationParameter0.60section

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