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On Complex Periodic Evolutions of a Periodically Diffused Brusselator

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Mathematical Topics on Modelling Complex Systems

Part of the book series: Nonlinear Physical Science ((NPS))

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Abstract

Complex periodic evolutions in a periodically Diffused Brusselator are presented through the generalized harmonic balance method, and the corresponding stability and bifurcations of the periodic evolutions are determined through eigenvalue analysis. For a better understanding of complex periodic evolutions of chemical reactions, numerical simulations of stable periodic evolutions are completed for illustrations of complex periodic evolutions. This chapter is dedicated to professor Valentin Afraimovich for a friendship between Valentin and Albert in the past two decades.

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Author information

Authors and Affiliations

  1. Department of Mechanical and Mechatronics Engineering, Southern Illinois University Edwardsville, Edwardsville, IL62026-1805, USA

    Siyu Guo & Albert C. J. Luo

Authors
  1. Siyu Guo
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  2. Albert C. J. Luo
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Corresponding author

Correspondence to Albert C. J. Luo .

Editor information

Editors and Affiliations

  1. ISEP-Institute of Engineering, Polytechnic Institute of Porto, Porto, Portugal

    J. A. Tenreiro Machado

  2. Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX, USA

    Dimitri Volchenkov

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Guo, S., Luo, A.C.J. (2022). On Complex Periodic Evolutions of a Periodically Diffused Brusselator. In: Tenreiro Machado, J.A., Volchenkov, D. (eds) Mathematical Topics on Modelling Complex Systems. Nonlinear Physical Science. Springer, Singapore. https://doi.org/10.1007/978-981-16-4169-5_2

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