Abstract

A bifurcation phenomenon which arises from the interaction of static and dynamic modes in the vicinity of a compound critical point of a nonlinear autonomous system is considered. The critical point is characterized by a double zero and a pair of pure imaginary eigenvalues of the Jacobian. A set of simplified differential equations is obtained by applying the unification technique coupled with the intrinsic harmonic balancing procedure. Based on the simplified equations, the equilibrium solutions, Hopf bifurcation solutions and quasiperiodic motions lying on 2-D tori, as well as the associated stability conditions, are explored. An example drawn from electrical circuits is analyzed to demonstrate the direct applicability of the analytic results. >

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.