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 Annick Dhooge

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Bibliometrics: publication history
Average citations per article9.33
Citation Count56
Publication count6
Publication years2003-2005
Available for download3
Average downloads per article2,599.33
Downloads (cumulative)7,798
Downloads (12 Months)334
Downloads (6 Weeks)21
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6 results found Export Results: bibtexendnoteacmrefcsv

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1
July 2005 SIAM Journal on Scientific Computing: Volume 27 Issue 1, 2005
Publisher: Society for Industrial and Applied Mathematics
Bibliometrics:
Citation Count: 2

${\rm CL\_MATCONT}$ and MATCONT are MATLAB continuation packages for the interactive numerical study of a range of parameterized nonlinear dynamical systems, in particular ODEs. MATCONT is an interactive graphical package and ${\rm CL\_MATCONT}$ is a commandline version. Both packages allow us to compute curves of equilibria, limit points, Hopf points, ...
Keywords: MATLAB, torus, flip, fold, limit cycle

2
April 2005 SIAM Journal on Numerical Analysis: Volume 43 Issue 4, 2005
Publisher: Society for Industrial and Applied Mathematics
Bibliometrics:
Citation Count: 3

Explicit computational formulas for the coefficients of the periodic normal forms for all codim 1 bifurcations of limit cycles in generic autonomous ODEs are derived. They include second-order coefficients for the fold (limit point) bifurcation, as well as third-order coefficients for the flip (period-doubling) and Neimark--Sacker (torus) bifurcations. The formulas ...
Keywords: limit cycles, normal forms, bifurcations

3 published by ACM
March 2004 ACM SIGSAM Bulletin: Volume 38 Issue 1, March 2004
Publisher: ACM
Bibliometrics:
Citation Count: 0
Downloads (6 Weeks): 3,   Downloads (12 Months): 21,   Downloads (Overall): 1,333

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We consider generic parameterized autonomous ODEs of the form dx / dt ≡ ẋ = f(x, α), where x ∈ ℝ n is the vector of state variables , α ∈ ℝ m represents parameters , and f(x, α) ∈ ℝ n . There are several interactive software packages for ...

4
June 2003 ICCS'03: Proceedings of the 1st international conference on Computational science: PartI
Publisher: Springer-Verlag
Bibliometrics:
Citation Count: 2

MATCONT is a Matlab continuation package with a GUI for the interactive numerical study of a range of parameterized nonlinear problems. In the case of ODEs it allows to compute curves of equilibria, limit points, Hopf points, limit cycles, period doubling bifurcation points of limit cycles and fold bifurcation points ...

5 published by ACM
June 2003 ACM Transactions on Mathematical Software (TOMS): Volume 29 Issue 2, June 2003
Publisher: ACM
Bibliometrics:
Citation Count: 47
Downloads (6 Weeks): 15,   Downloads (12 Months): 271,   Downloads (Overall): 5,804

Full text available: PDFPDF
MATCONT is a graphical MATLAB software package for the interactive numerical study of dynamical systems. It allows one to compute curves of equilibria, limit points, Hopf points, limit cycles, period doubling bifurcation points of limit cycles, and fold bifurcation points of limit cycles. All curves are computed by the same ...
Keywords: Dynamical system, bifurcation, numerical continuation

6 published by ACM
March 2003 SAC '03: Proceedings of the 2003 ACM symposium on Applied computing
Publisher: ACM
Bibliometrics:
Citation Count: 2
Downloads (6 Weeks): 2,   Downloads (12 Months): 27,   Downloads (Overall): 631

Full text available: PDFPDF
CL_MATCONT is a Matlab continuation package for the numerical study of a range of parameterized nonlinear problems. In the case of ODEs it allows to compute curves of equilibria, limit point, Hopf points, limit cycles and period doubling bifurcation points of limit cycles. All curves are computed by the same ...
Keywords: bifurcation, continuation, Matlab



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