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Quantity of organization in complex networks here is measured as the inverse of the average sum of physical actions of all elements per unit motion multiplied by the Planck's constant. The meaning of quantity of organization is the number of quanta of action per one unit motion of an element. This definition can be applied to the organization of any complex… (More)

- Ognyan Christov, Georgi Georgiev
- 2015

In this paper we study the equation w (4) = 5w (w 2 − w) + 5w(w) 2 − w 5 + (λz + α)w + γ, which is one of the higher-order Painlevé equations (i.e., equations in the polynomial class having the Painlevé property). Like the classical Painlevé equations, this equation admits a Hamiltonian formulation, Bäcklund transformations and families of rational and… (More)

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