Abstract
An autoparametric system with external excitation was examined by Nabergoj R, Tondl A, and Virag Z. (Chaos, Solitons & Fractals 1994;4:263–273). For investigating the semi-trivial and the nontrivial solution, a different approach in terms of complex-plane variables is here presented. It is proved that autoparametric resonance is initiated when semi-trivial solution becomes unstable. The trajectory of the system transforms from a straight line to an elliptic path. Within a certain interval of the excitation frequency, chaotic motion becomes possible.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
