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algorithm ALife applications approach artificial attractor behaviour bifurcation biological brain cells cellular automata changes chaotic chapter circuits communication complex systems components connectivity contraction maps corresponding cycle defined described deterministic diffeomorphism differential equations digraph digraph evolution directed graphs double jump dynamical systems ecology ecosystems edge of chaos eigenvalues emergence equilibrium evolving example exponentially feedback finite Fortran fractal dimension function genes genetic genotype global Hamiltonian Hausdorff dimension High Performance Fortran Hogeweg idea inertial manifold input interactions iteration Koch curve L-systems Langton linear linearisation Lyapunov exponents machine mathematical matrix methods MIMD natural neural networks neurons nodes non-linear observed optimal control optimisation orbit organisation output parallel computers parameter patterns phase phenomena physical population problem processors properties scaling law self-organisation sequence simple simulated annealing simulation space spatial species Springer-Verlag stabilising stable stochastic structure theorem theory tion trajectories unstable unstable manifolds variables vector
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