Abstract
A general calculation method of calculating the spectrum of Lyapunov exponents is presented for n-dimensional nonlinear non-smooth systems by using the Poincaré map method. The Poincaré map is constructed by means of local maps to avoid calculating the Jacobian matrices at non-smooth points. The calculation of the spectrum of Lyapunov exponents for impact-vibrating systems with rigid constraints is given in detail. This method can be generally applied to systems with rigid or flexible (that is, perfectly elastic) constraints. In order to show the validity of this method, the spectrums of Lyapunov exponents are calculated in a large range of parameters for two given dynamical systems with rigid constraints and used to predict the dynamic behaviour.
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.
