Bidirectional Conservative–Dissipative Transitions in a Five-Dimensional Fractional Chaotic System

Yiming Wang, Fengjiao Gao () and Mingqing Zhu
Additional contact information
Yiming Wang: Intelligent Manufacturing Institute, Heilongjiang Academy of Sciences, Harbin 150090, China
Fengjiao Gao: Intelligent Manufacturing Institute, Heilongjiang Academy of Sciences, Harbin 150090, China
Mingqing Zhu: Intelligent Manufacturing Institute, Heilongjiang Academy of Sciences, Harbin 150090, China

Mathematics, 2025, vol. 13, issue 15, 1-22

Abstract: This study investigates a modified five-dimensional chaotic system by incorporating structural term adjustments and Caputo fractional-order differential operators. The modified system exhibits significantly enriched dynamic behaviors, including offset boosting, phase trajectory rotation, phase trajectory reversal, and contraction phenomena. Additionally, the system exhibits bidirectional transitions—conservative-to-dissipative transitions governed by initial conditions and dissipative-to-conservative transitions controlled by fractional order variations—along with a unique chaotic-to-quasiperiodic transition observed exclusively at low fractional orders. To validate the system’s physical realizability, a signal processing platform based on Digital Signal Processing (DSP) is implemented. Experimental measurements closely align with numerical simulations, confirming the system’s feasibility for practical applications.

Keywords: fractional-order system; dynamical analysis; chaotic system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/15/2477/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/15/2477/ (text/html)

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:gam:jmathe:v:13:y:2025:i:15:p:2477-:d:1715124

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().