Abstract

The global dynamic behavior of one-dimensional (1D) arrays of nonlinear oscillators is investigated through a method based on the application of some spatio-temporal spectral techniques. As a case-study 1D arrays of Chua's circuits are considered. The method consists in the following three fundamental steps: a) the set of all stable and unstable limit cycles is determined via the describing function technique; b) an accurate characterization of each limit cycle is obtained through a spatio-temporal harmonic balance (HB) technique, that exploits as input parameter the single harmonic approximation, provided by the describing function technique; c) limit cycle stability and bifurcations are studied by computing the Floquet's multipliers, via a HB based technique.

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.