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| 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. |