Complexity in spatio-temporal dynamics

DOI10.1017/S0308210500022587zbMath0839.58048MaRDI QIDQ4857093

David L. Rod, Sleeman, Brian D.

Publication date: 1 January 1996

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

dynamical systemsbiologyZiglin theoryKovacic algorithmnoncomplete integrability of two-degree-of-freedom Hamiltonian systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Population dynamics (general) (92D25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (3)

Two generator subgroups of \(\text{SL}(2,\mathbf C)\) and the hypergeometric, Riemann, and Lamé equations ⋮ Coalescence of singularities and Ziglin's approach to nonintegrability ⋮ Coalescence of singularities and Ziglin's approach to nonintegrability

Cites Work

• Unnamed Item
• Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
• An algorithm for solving second order linear homogeneous differential equations
• Pathology in dynamical systems. III: Analytic Hamiltonians
• Discrete-time travelling waves: Ecological examples
• Global bifurcations and chaos. Analytical methods
• On the Determination of Ziglin Monodromy Groups
• Group-theoretic obstructions to integrability
• Complexity in biological systems and hamiltonian dynamics

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