- 期刊
Spatio-Temporal Patterns with Hyperchaotic Dynamics in Diffusively Coupled Biochemical Oscillators
並列摘要
We present three examples how complex spatio-temporal patterns can be linked to hyperchaotic attractors in dynamical systems consisting of nonlinear biochemical oscillators coupled linearly with diffusion terms. The systems involved are: (a) a two-variable oscillator with two consecutive autocatalytic reactions derived from the Lotka-Volterrh scheme; (b) a minimal two-variable oscillator with one first-order autocatalytic reaction; (c) a three-variable oscillator with first-order feedback lacking autocatalysis. The dynamics of a finite number of coupled biochemical oscillators may account for complex patterns in compartmentalized living systems like cells or tissue, and may be tested experimentally in coupled microreactors.
延伸閱讀
- 楊榮輝（2010）。Dynamic Behavior Study In Laser Syster From Chaos To Quasiperiodic Relaxation Oscillations〔碩士論文，國立交通大學〕。華藝線上圖書館。https://doi.org/10.6842/NCTU.2010.00437
- Kuo, H. Y. (2014). Numerical Investigations of Synchronization of Locally Coupled Oscillators in One Dimension [master's thesis, National Tsing Hua University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0016-2912201413534332
- Huang, P. Y. (2011). Global attractor and topological chaos of second-order difference equations in discrete Hamiltonian systems [master's thesis, National Chiao Tung University]. Airiti Library. https://doi.org/10.6842/NCTU.2011.00571
- Jia, Z., & Deng, G. M. (2012). Mathematical Model and Cluster Synchronization for a Complex Dynamical Network with Two Types of Chaotic Oscillators. Journal of Applied Mathematics, 2012(), 1131-1142-470. https://doi.org/10.1155/2012/595360
- Wei, Z. C. (2011). Synchronization of Coupled Nonidentical Fractional-Order Hyperchaotic Systems. Discrete Dynamics in Nature and Society, 2011(), 566-574. https://doi.org/10.1155/2011/430724