Chaos and Complexity Research Compendium, Volume 1 by Franco F. Orsucci, Nicoletta Sala (editors)

By Franco F. Orsucci, Nicoletta Sala (editors)

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Hughlings Jackson (1931). In humans, the operations and informational contents of the global state variable, which are sensations, images, feelings, thoughts and beliefs, constitute the experience of cause and effect. To deny this comparability and assert that humans are not machines is to miss the point. Two things distinguish humans from all other beings. One is the form and function of the human body, including the brain, which has been given to us by three billion years of biological evolution.

Thus we have Aφ (t) ≈ f1 | exp −i(θ˜ cos φ)t |˜ ρ(0) (66) The H-function is then even with respect to the angle of rotation φ. The H-function jump increases with φ from φ = 0 (no jump) to φ = π (maximum jump). For φ = π/2 we have Hπ/2 (t) ≈ H(0) (67) In other words, a π/2 rotation resets the H-function to its initial value. We have a complete rejuvenation. For 0 < φ < π/2 we have partial rejuventations, that is, the system becomes“younger” (more ordered) but not as young as it was at t = 0. For π/2 < φ < π we have an “over-rejuvenation:” the system becomes younger than it was at t = 0 due to the presence of anomalous correlations (see Fig.

Aπ/2 (t) ≈ Aπ/2 (0), for t ≫ tc (65) For weak coupling one can estimate that tc ∼ 1/(λc1/2 ). Eq. (65) means that for t ≫ tc we can neglect the contributions coming from the operator θ˜⊥ . Thus we have Aφ (t) ≈ f1 | exp −i(θ˜ cos φ)t |˜ ρ(0) (66) The H-function is then even with respect to the angle of rotation φ. The H-function jump increases with φ from φ = 0 (no jump) to φ = π (maximum jump). For φ = π/2 we have Hπ/2 (t) ≈ H(0) (67) In other words, a π/2 rotation resets the H-function to its initial value.

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