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Integrable deformations of Lotka-Volterra systems
Lotka-Volterra perturbations integrable systems Lie groups Poisson coalgebras Casimir functions N-dimensional
2011/7/5
The Hamiltonian structure of a class of three-dimensional (3D) Lotka-Volterra (LV) equations is
revisited by showing that the quadratic Poisson structure underlying its integrability structure
is ju...
综述三维Lotka-Volterra系统的动力学行为研究的新进展，主要是极限环的算法化构造与个数问题,以及一些相关猜想. 讨论了一些计算机辅助推理在种群动力学中的应用以及相关的问题.