CNLN: Generalized Lotka-Volterra

From:
Wildenberg,J.,Vano,J.,Sprott,J.:Complex spatiotemporal dynamics in Lotka-Volterra ring systems.
Dreossi T., Dang T., Piazza C.: Reachability Computation for Polynomial Dynamical Systems.

Dynamics:
x1' = x1*(1 - (x1 + alpha*x2 + beta*x5))
x2' = x2*(1 - (x2 + alpha*x3 + beta*x1))
x3' = x3*(1 - (x3 + alpha*x4 + beta*x2))
x4' = x4*(1 - (x4 + alpha*x5 + beta*x3))
x5' = x5*(1 - (x5 + alpha*x1 + beta*x4))

Parameters:
alpha = 0.85
beta = 0.50
Delta = 0.01 (for Euclid discretization)

Initial set:
x1(0), x2(0), x3(0), x4(0), x5(0) \in [1.00, 1.01]