COMPLEX BEHAVIOR ANALYSIS IN QUADRATIC JERK SYSTEMS VIA FREQUENCY DOMAIN HOPF BIFURCATION
- 1 March 2010
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Bifurcation and Chaos
- Vol. 20 (03), 657-667
- https://doi.org/10.1142/s0218127410025946
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.Keywords
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