| Network Dynamic | ||

Regular or Periodic Motion | Chaotic Motion | Motion at the Edge of Chaos | |

Lyapunov Exponent | λ < 0 Exponentially convergent | λ > 0 Exponentially divergent | λ = 0 Fractal Self-similar Multi-scale or scale-free |

Properties | Insensitive to differences in environmental input.
Rapid dissipation of information from environment―hence no dynamic memory. | Exponential divergence of orbits or responses with small differences in environmental input.
Rapid dissipation of information from environment―no dynamic memory. | Long-range or power-law correlation.
Motion has no exponential dissipation, hence long memory.
Sensitive and therefore responsive to inputs from the environment. Most compatible with biological computation and control. |