Studying relationships from the perspective of chaos theory

doi:10.1088/1674-1056/ae27b6

Abstract The study of relationship emotions, a set of emotional and psychological responses that arise in a relationship, can help develop more humanized artificial intelligence, improve human–computer interaction, and even create more immersive experiences in virtual and augmented reality. Due to the nonlinear and feedback-driven nature of relational affect, which aligns closely with chaos theory, and the ability of leaky integrate-and-fire (LIF) neuron models to simulate dopaminerelated electrical activity in brain nuclei, this study innovatively integrates both approaches. By linking the membrane potential signals of LIF neurons to relational affect equations, it achieves a refined modeling of the mechanisms underlying relational affect generation. This paper adds the LIF neuron model to the relationship emotion model to construct a new LIF relationship emotion model (LRM). The effect of the parameters in the LRM on the relationship emotions generated by the model is investigated using numerical analysis. This includes the firing behavior produced by LIF neurons and a study of relationship emotions produced by different initial relationship emotion states under the same conditions. Finally, the feasibility of LRM is verified using a digital signal processing (DSP) platform. This process not only verifies the feasibility of LRM but also provides new ideas and methods for future research in affective computing and human–computer interaction.

Keywords: relationship emotion chaos neural network DSP platform

Received: 23 October 2025
Revised: 17 November 2025
Accepted manuscript online: 04 December 2025

PACS:	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Jn	(High-dimensional chaos)

Fund: This work was supported by the National Natural Science Foundation of China (Grant No. 62571079), the Doctoral Research Startup Fund Program Project of Liaoning Province (Grant No. 2025-BS-0471), the Basic scientific research projects in department of education of Liaoning Province (Grant No. LJ212410152011), and the Research startup fund project for introducing talents of Dalian Polytechnic University (Grant No. LJBKY2025070).

Corresponding Authors: Xianying Xu, Xiaodong Liu
E-mail: xuxiany@dlpu.edu.cn;liuxiaod@dlpu.edu.cn

Cite this article:

Xiyu Ren(任玺谕), Xianying Xu(徐宪莹), Xiaodong Liu(刘晓东), Minghui Zhang(张明会), Santo Banerjee, Suo Gao(高锁), and Jun Mou(牟俊) Studying relationships from the perspective of chaos theory 2026 Chin. Phys. B 35 060504

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