Title :
Analysis of bifurcation parameters by symbolic computation
Author :
Moreno, U.F. ; Peres, P.L.D. ; Bonatti, I.S.
Author_Institution :
Sch. of Electr. & Comput. Eng., Univ. of Campinas, Sao Paulo, Brazil
Abstract :
Symbolic computation can be used as an effective tool for the analysis of bifurcations in dynamical systems, allowing one to establish the relationship between the state variables and the parameters that play a crucial role in the occurrence of such phenomena without the need to perform extensive numerical calculations of every equilibrium condition
Keywords :
bifurcation; nonlinear dynamical systems; symbol manipulation; bifurcation parameters; dynamical systems; equilibrium condition; state variables; symbolic computation; Algorithm design and analysis; Bifurcation; Computer languages; Eigenvalues and eigenfunctions; Jacobian matrices; Performance analysis; Polynomials;
Conference_Titel :
Circuits and Systems, 1999. 42nd Midwest Symposium on
Conference_Location :
Las Cruces, NM
Print_ISBN :
0-7803-5491-5
DOI :
10.1109/MWSCAS.1999.867704
