Abstract

A lot of chaotic motions in nonlinear dynamical systems take place arising from the homoclinic/heteroclinic intersections. However, it is difficult to solve the homoclinic or heteroclinic orbits in most nonlinear dynamical systems. One method for solving the homoclinic/heteroclinic orbits of nonlinear dynamical systems, named undetermined coefficient method, is presented in this paper. With this method, the series expansion of the heteroclinic orbit for a new nonlinear system are obtained. It analytically demonstrates that there exists one heteroclinic orbit of the Si’lnikov type that connects the two equilibrium points, therefore Smale horseshoe chaos may occur for this system via the Sil’nikov criterion.

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.