Work

Chaotic dynamics analysis and control of fractional-order ESER systems using a high-precision Caputo derivative approach

Year: 2025

Type: article

Abstract: This paper investigates the chaotic dynamics and control of a fractional-order energy-saving and emission-reduction (ESER) system using a high-precision method. By constructing a four-dimensional fractional-order system, the complex interactions between new energy, carbon emissions, economic growth, and carbon trading volume are studied. A novel high-precision numerical method, based on generating functions, is introduced to analyze the dynamic behaviors of the system at various fractional derivatives and parameters. Numerical simulations find all kinds of dynamic behaviors, including stable, rapid divergence, and chaotic attractors. In this study, we design feedback and adaptive control strategies to achieve chaos synchronization and system stability. The results highlight the effectiveness of the proposed control methods in stabilizing the system and synchronizing drive-response systems, underscoring the pivotal role of fractional-order derivatives in regulating system dynamics.

Source: Electronic Research Archive

DOI: 10.3934/era.2025161

Authors: XiongFei Chi, Ting Wang, ZhiYuan Li

Institutions: Ordos Vocational College, Inner Mongolia University of Technology

Language: English

Topic: Chaos control and synchronization

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,000

Funders: Inner Mongolia University, Natural Science Foundation of Inner Mongolia, Inner Mongolia University of Technology