On the non-equivalence of Lorenz System and Chen System
Zhenting Hou, Ning Kang, Xiangxing Kong, Guanrong Chen, Guojun Yan
TL;DR
This paper proves that the Chen system cannot be smoothly transformed into the Lorenz system for any parameters, highlighting fundamental differences in their chaotic behaviors.
Contribution
It establishes the non-equivalence of the Chen and Lorenz systems under smooth transformations for chaotic parameter sets.
Findings
Chen system is not smoothly equivalent to Lorenz system
Chaotic parameters do not allow transformation between the systems
Fundamental differences in system dynamics
Abstract
In this paper, we prove that the Chen system with a set of chaotic parameters is not smoothly equivalent to the Lorenz system with any parameters.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.