Tigan, Gheorghe - Search Results - UAB Digital Repository of Documents

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9 p, 288.4 KB

Degenerate Fold-Hopf Bifurcations in a Rössler-Type System / Tigan, Gheorghe (Politehnica University of Timisoara (Romania). Department of Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ciurdariu, Loredana (Politehnica University of Timisoara (Romania). Department of Mathematics)
We study the Hopf and the fold--Hopf bifurcations of the R\"ossler--type differential system * =-y-z, =x ay, =-cz byz, * with b 0. We show that the classical Hopf bifurcation cannot be applied to this system for detecting the fold--Hopf bifurcation, which here is studied using the averaging theory. [...]
2017 - DOI (Digital Object Identifier)

10.1142/S0218127417500687
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 27 Núm. 5 (2017) , p. 1750068

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4 p, 365.5 KB

Heteroclinic, homoclinic and closed orbits in the Chen system / Tigan, Gheorghe (Politehnica University of Timisoara(Romania). Department of Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Bounded orbits such as closed, homoclinic and heteroclinic orbits are discussed in this work for a Lorenz- like 3D nonlinear system. For a large spectrum of the parameters the system has neither closed nor homoclinic orbits but has exactly two heteroclinic orbits, while under other constraints the system has symmetrical homoclinic orbits.
2016 - DOI (Digital Object Identifier)

10.1142/S0218127416500723
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 26 Núm. 4 (2016) , p. 1650072

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