Bifurcações Sela-Nó da Região de Estabilidade de Sistemas Dinâmicos Autônomos não Lineares
DOI:
https://doi.org/10.5540/tema.2016.017.01.0071Abstract
O comportamento da região de estabilidade de sistemas dinâmicos sujeitos a variação de parâmetros é estudado neste artigo. O comportamento da região de estabilidade e de sua fronteira quando o sistema vai de encontro a uma bifurcação sela-nó do tipo-$k$, com $k\geq 0$ na fronteira da região de estabilidade é investigado. Uma caracterização completa da fronteira da região de estabilidade na vizinhança de um valor de bifurcação sela-nó do tipo-$k$, com $k\geq 0$ é apresentado neste artigo.References
F.M. Amaral & L.F.C. Alberto. Stability Region Bifurcations of Nonlinear Autonomous Dynami- cal Systems: Type-Zero Saddle-Node Bifurcations. International Journal of Robust and Nonlinear Control, 21(6) (2011), 591–612.
F.M. Amaral & L.F.C. Alberto. Type-zero saddle-node bifurcations and stability region estimation of nonlinear autonomous dynamical systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 22(1) (2012), 1250020-1.
F.M. Amaral, J.R.R. Gouveia Jr. & L.F.C. Alberto. Characterization of saddle-node equilibirum points on the stability boundary of nonlinear autonomous dynamical system. Confereˆncia Brasileira de Dinaˆmica, Controle e Aplicac ̧o ̃es, Anais DINCON, (2013).
H.-D. Chiang, M.W. Hirsch & F.F. Wu. Stability regions of nonlinear autonomous dynamical systems. IEEE Transactions on Automatic Control, 33 (1988), 16–27.
H.-D. Chiang & Chia-Chu. Theorical foundation of the BCU method for direct stability analysis of network-reduction power system models with small transfer conductances. IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, 42 (1995), 252–265.
J.R.R. Gouveia Jr., F.M. Amaral & L.F.C. Alberto. Stability boundary characterization of non- linear autonomous dynamical systems in the presence of a supercritical Hopf equilibrium point. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 23(12) (2014), 1350196-1.
R.B. de Lima Guedes, L.F.C. Alberto & N.G. Bretas. Power System Low-Voltage Solutions Using an Auxiliary Gradient System for Voltage Collapse Purposes. IEEE Transactions on Power Systems, 20 (2005), 1528–1537.
J. Sotomayor. Generic bifurcations of dynamical systems. Dinamical Systems, (1973), 549–560.
V. Venkatasubramanian, H. Schattler & J. Zaborszky. A taxonomy of the dynamics of large
differential-algebraic systems. Proceedings IEEE, 83 (1995), 1530–1561.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish in this journal agree to the following terms:
Authors retain copyright and grant the journal the right of first publication, with the work simultaneously licensed under the Creative Commons Attribution License that allows the sharing of the work with acknowledgment of authorship and initial publication in this journal.
Authors are authorized to assume additional contracts separately, for non-exclusive distribution of the version of the work published in this journal (eg, publish in an institutional repository or as a book chapter), with acknowledgment of authorship and initial publication in this journal.
Authors are allowed and encouraged to publish and distribute their work online (eg, in institutional repositories or on their personal page) at any point before or during the editorial process, as this can generate productive changes as well as increase impact and the citation of the published work (See The effect of open access).
This is an open access journal which means that all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles, or use them for any other lawful purpose, without asking prior permission from the publisher or the
author. This is in accordance with the BOAI definition of open access
Intellectual Property
All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License under attribution BY.