一类双变量化学振荡反应方程的极限环求解

doi:10.16088/j.issn.1001-6600.2024101407

Abstract

Abstract: In this paper, the problem of solving limit cycles for a class of bivariate chemical oscillation reaction equations is investigated. To solve these equations, firstly, the bivariate chemical oscillation reaction equations are simplified into a general form of Liénard equation and the perturbation increment method is used to solve limit cycles. Starting from the zero-order perturbation solution obtained during the perturbation phase, the increment phase iteratively approximates step by step until the final limit cycle is achieved. Through examples of continuous stirred tank reactor reactions and glycolysis reactions, and compared with numerical integration method, the results show a high degree of consistency, demonstrating the effectiveness of the perturbation-increment method in handling limit cycle problems of such nonlinear dynamic equations.

Key words: Liénard system, perturbation incremental method, limit cycle, continuous stirred tank reactor reactions, glycolysis reactions

CLC Number: O175

WANG Lin, WANG Hailing. Solution of Limit Cycles for a Class of Bivariate Chemical Oscillation Reaction Equations[J].Journal of Guangxi Normal University(Natural Science Edition), 2025, 43(5): 167-174.

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Solution of Limit Cycles for a Class of Bivariate Chemical Oscillation Reaction Equations

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