High-dimensional chaotification via differential bivariate regression interpolation: Alternative Lyapunov exponents and conic coordinates characterization

Jun Zhou

Chaos, Solitons & Fractals, 2026, vol. 209, issue P1

Abstract: By low-dimensional base models stacking and differential bivariate regression (SDBR) interpolating, the paper presents a novel approach for high-dimensional chaos modeling and model extension; alternative Lyapunov exponents and chaos characterization by multi-axis conic coordinates are introduced and examined. Specifically, SDBR interpolating chaotification inherits divergence, gradient and Jacobian matrices of the base models in linear combination form such that stability/instability, alternative Lyapunov exponents of the high-dimensional chaotic models can be specified through the base ones and interpolation weighting. To visualize high-dimensional chaos, conic coordinates and coaxial-projection by multiple axes aligning on the conic surface are created, which accommodate the real axis, rectangular and orthogonal Cartesian coordinates as special cases, and provide multiphasic and polygonal vector characterizations for SDBR interpolating and multi-tiered data encryption. Numerical simulations show high efficiency for chaotification, and reveal new features in terms of alternative Lyapunov exponents.

Keywords: Chaos; Divergence; Gradient; Lyapunov exponent; Encryption (search for similar items in EconPapers)
Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077926005643
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:209:y:2026:i:p1:s0960077926005643

DOI: 10.1016/j.chaos.2026.118423

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().