Abstract
In order to further understand a complex three-dimensional (3D) dynamical system showing strange chaotic attractors with two stable node-foci as its only equilibria, we analyze dynamics at infinity of the system. First, we give the complete description of the phase portrait of the system at infinity, and perform a numerical study on how the solutions reach the infinity, depending on the parameter values. Then, combining analytical and numerical techniques, we find that for the parameter value b=0, the system presents an infinite set of singularly degenerate heteroclinic cycles. It is hoped that these global study can give a contribution in understanding of this unusual chaotic system, and will shed some light leading to final revealing the true geometrical structure and the essence of chaos for the chaotic attractor.
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.
