The paper deals with the characterization of Hopf bifurcations in families of third order autonomous systems involving quadratic nonlinearities. By employing Harmonic Balance (HB) tools, the set of system parameters corresponding to supercritical and subcritical bifurcations is analytically determined, together with an approximation of the actual bifurcated periodic solution. It is believed that these analytical results can be exploited in order to locate via bifurcation analysis simple systems able to display complex behaviors.

Complex behaviour analysis in quadratic jerk systems via frequency domain Hopf bifurcation / Innocenti, Giacomo; Tesi, Alberto; Genesio, Roberto. - In: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS IN APPLIED SCIENCES AND ENGINEERING. - ISSN 0218-1274. - STAMPA. - 20:(2010), pp. 645-656. [10.1142/S0218127410025946]

Complex behaviour analysis in quadratic jerk systems via frequency domain Hopf bifurcation

INNOCENTI, GIACOMO;TESI, ALBERTO;GENESIO, ROBERTO
2010

Abstract

The paper deals with the characterization of Hopf bifurcations in families of third order autonomous systems involving quadratic nonlinearities. By employing Harmonic Balance (HB) tools, the set of system parameters corresponding to supercritical and subcritical bifurcations is analytically determined, together with an approximation of the actual bifurcated periodic solution. It is believed that these analytical results can be exploited in order to locate via bifurcation analysis simple systems able to display complex behaviors.
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656
Innocenti, Giacomo; Tesi, Alberto; Genesio, Roberto
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/360946
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