Author(s)

Jiangnan Chen ¹, Xuehong Li ², Zhen Huang ¹

Affiliation(s)

¹ School of Information Engineering, Jiangxi Polytechnic University, Jiujiang, Jiangxi Province, China
² School of Information and Applied Engineering, Jiujiang Insititute of Technology, Jiujiang, Jiangxi Province, China

Corresponding Author

Jiangnan Chen

ABSTRACT

In the field of contemporary physics and engineering, the study of nonlinear oscillator systems has important theoretical significance and broad application prospects. Among them, nonlinear oscillator systems with time delay effects have received widespread attention due to their unique multi-steady state, chaos, and complex periodic motion. This paper aims to conduct in-depth research on nonlinear oscillator systems with delay effects, revealing their complex motion patterns and the essence of their mutual influence. This paper aims to model nonlinear systems with time delay effects. Using a combination of numerical simulation and theoretical analysis, its dynamic characteristics under different working conditions are explored. The dynamic behavior of the system is studied using phase diagrams and Lyapunov exponents. On this basis, representative periodic and chaotic movements are identified by systematically scanning its parameter space. In the case of the Lyapunov exponent (λ<0), the system was stable; when λ approached 0, the system reached a critical steady state. The research results of the paper provide new ideas and experimental methods for the study of delay coupling systems, as well as new ideas and methods for the design and optimization of such systems.

KEYWORDS

Delay Coupling, Nonlinear Systems, Stability Mechanism, Lyapunov Exponent

CITE THIS PAPER

Jiangnan Chen, Xuehong Li, Zhen Huang, Research on the Stability of Nonlinear Oscillator Systems Based on Time Delay Coupling. Journal of Electronics and Information Science (2025) Vol. 10: 30-38. DOI: http://dx.doi.org/10.23977/10.23977/jeis.2025.100104.

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