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Hamiltonian approach to the dynamics of Darwinian systems

  • Physics of Elementary Particles and Field Theory
  • Published:
Russian Physics Journal Aims and scope

Abstract

It is shown that equations describing the dynamics of Darwinian systems (DS) far from the bifurcation points may be expressed in Hamiltonian form. The cases of DS with constant organization and DS with a constant flux through the system are considered. The configurational part of phase space is formed by variables containing information on the structure of the system. Momentum variables may be regarded as specific rates of multiplication. The evolution of DS with constant organization in this phase space is expressed as uniform rectilinear motion. In the case of DS with a constant flux, the motion occurs in some effective constant and uniform field. The meaning of the elements of the Hamiltonian structure is described in terms of theoretical biology.

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Authors
  1. E. V. Evdokimov
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  2. A. V. Shapovalov
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Additional information

Tomsk State University. Scientific-Research Institute of Biological Systems, Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 23–28, July, 1997.

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Evdokimov, E.V., Shapovalov, A.V. Hamiltonian approach to the dynamics of Darwinian systems. Russ Phys J 40, 610–615 (1997). https://doi.org/10.1007/BF02514948

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  • DOI: https://doi.org/10.1007/BF02514948

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