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Zbl 0839.58048
Rod, D.L.; Sleeman, B.D.
Complexity in spatio-temporal dynamics. (English)
[J] Proc. R. Soc. Edinb., Sect. A 125, No.5, 959-974 (1995). ISSN 0308-2105; ISSN 1473-7124/e

Summary: Complex and chaotic structures in certain dynamical systems in biology arise as a consequence of noncomplete integrability of two-degree-of-freedom Hamiltonian systems. A study of this problem is made using Ziglin theory and implemented with the aid of the Kovacic algorithm.

MSC 2000:: *37N99 Applications of dynamical systems
37J35 Completely integrable systems, etc.
37K10 Completely integrable systems etc.
92D25 Population dynamics
37D45 Strange attractors, chaotic dynamics

Keywords: dynamical systems; biology; noncomplete integrability of two-degree-of-freedom Hamiltonian systems; Ziglin theory; Kovacic algorithm

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