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@article{692253, author = {Barakova, Lenka and Volokitin, Evgenii P.}, article_number = {No. 83}, keywords = {bifurcation diagram; limit cycle}, language = {eng}, issn = {1072-6691}, journal = {Electron. J. Diff. Eqs.}, title = {Bifurcation diagram of a cubic three-parameter autonomous system}, url = {http://ejde.math.txstate.edu/Volumes/2005/83/barakova.pdf}, volume = {2005}, year = {2005} }
TY - JOUR ID - 692253 AU - Barakova, Lenka - Volokitin, Evgenii P. PY - 2005 TI - Bifurcation diagram of a cubic three-parameter autonomous system JF - Electron. J. Diff. Eqs. VL - 2005 IS - No. 83 SP - 1-16 EP - 1-16 SN - 10726691 KW - bifurcation diagram KW - limit cycle UR - http://ejde.math.txstate.edu/Volumes/2005/83/barakova.pdf N2 - We study a cubic three-parameter autonomous planar system. Our goal is to obtain a bifurcation diagram; i.e., to divide the parameter space into regions within which the system has topologically equivalent phase portraits and to describe how these portraits are transformed at the bifurcation boundaries. Results may be applied to the macroeconomical model IS-LM with Kaldors assumptions. In this model existence of a stable limit cycles has already been studied (Andronov-Hopf bifurcation). We present the whole bifurcation diagram and among others, we prove existence of more difficult bifurcations and existence of unstable cycles. ER -
BARAKOVA, Lenka a Evgenii P. VOLOKITIN. Bifurcation diagram of a cubic three-parameter autonomous system. \textit{Electron. J. Diff. Eqs.}. 2005, roč.~2005, No. 83, s.~1-16. ISSN~1072-6691.
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