Abstract
The computation of manifold plays an important role in understanding the dynamics of a nonlinear system. This paper presented a revised algorithm for computing two dimensional manifolds of vector fields. The trajectory was grown by solving appropriate initial value problem, then the manifold was grown step by step with equal arc-length along the trajectory and points on the trajectory were selected according to the local curvature. For the first time, both curvature-control technique and distance constraints were employed when interpolation between mesh points was needed. And in this way, the accuracy of interpolated points was guaranteed and it was the main advantage over the existing methods. The simulation results show that the proposed algorithm is effective.
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.
