One-Parameter Bifurcation Analysis of Dynamical Systems using Maple

Borisov, Milen, and Dimitrova, Neli. "One-Parameter Bifurcation Analysis of Dynamical Systems using Maple." Serdica Journal of Computing 4.1 (2010): 43-56. <http://eudml.org/doc/11374>.

@article{Borisov2010,
abstract = {This paper presents two algorithms for one-parameter local bifurcations of equilibrium points of dynamical systems. The algorithms are implemented in the computer algebra system Maple 13 © and designed as a package. Some examples are reported to demonstrate the package’s facilities.* This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02–359/2008.},
author = {Borisov, Milen, Dimitrova, Neli},
journal = {Serdica Journal of Computing},
keywords = {Parametric Dynamical Systems; Local Steady States Bifurcations; Andronov-Hopf Bifurcation; Maple Package; parametric dynamical systems; local steady states bifurcations; Andronov-Hopf bifurcation; Maple package; numerical examples; algorithms},
language = {eng},
number = {1},
pages = {43-56},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {One-Parameter Bifurcation Analysis of Dynamical Systems using Maple},
url = {http://eudml.org/doc/11374},
volume = {4},
year = {2010},
}

TY - JOUR
AU - Borisov, Milen
AU - Dimitrova, Neli
TI - One-Parameter Bifurcation Analysis of Dynamical Systems using Maple
JO - Serdica Journal of Computing
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 4
IS - 1
SP - 43
EP - 56
AB - This paper presents two algorithms for one-parameter local bifurcations of equilibrium points of dynamical systems. The algorithms are implemented in the computer algebra system Maple 13 © and designed as a package. Some examples are reported to demonstrate the package’s facilities.* This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02–359/2008.
LA - eng
KW - Parametric Dynamical Systems; Local Steady States Bifurcations; Andronov-Hopf Bifurcation; Maple Package; parametric dynamical systems; local steady states bifurcations; Andronov-Hopf bifurcation; Maple package; numerical examples; algorithms
UR - http://eudml.org/doc/11374
ER -