Numerical analysis on the complex dynamics in a chemical system

作者：Huang Y; Yang XS^*

来源：Journal of Mathematical Chemistry, 2006, 39(2): 377-387.

DOI：10.1007/s10910-005-9043-z

• horseshoe
• poincare map
• attractor
• entropy
• bifurcation
• limit cycle
• the bromate-MA-ferroin system

In this paper we present numerical analysis on the complex dynamics in the bromate-MA-ferroin chemical system. A rigorous computer-assisted proof for the existence of limit cycle of the system is presented by means of the Fixed-point theorem for some parameters. By virtue of a recent result of horseshoes theory in dynamical systems, we give a rigorous computer-assisted proof for chaotic behaviors of the attractors of the system for another range of parameters. A quantitative description of the complexity of the bromate-MA-ferroin system is given through topological entropy.

• 出版日期2006-2
• 单位华中科技大学