ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Mchedlova E. S. Coupled map lattice with non-uniform diffusion as a possible model for effects of integration in university structure. Izvestiya VUZ. Applied Nonlinear Dynamics, 2000, vol. 8, iss. 6, pp. 35-43. DOI: 10.18500/0869-6632-2000-8-6-35-43

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Language: 
Russian
Heading: 
Nonlinear Dynamics in Action
Article type: 
Article
UDC: 
001:519.711.3
DOI: 
10.18500/0869-6632-2000-8-6-35-43

Coupled map lattice with non-uniform diffusion as a possible model for effects of integration in university structure

Autors: 
Mchedlova Elena Sumbatovna, Saratov State University
Abstract: 

On the basis of ideas and methods of nonlinear dynamics the qualitative analysis of self-organization and integration processes in universities structure is carried out the lattice of coupled logistic maps with additional diffusion mechanism is realized. The numerical analysis of system dynamics and results interpretation are performed for different values of control parameters.

Key words: 
-
Acknowledgments: 
The work was supported by the RFBR (grant 99-02-16016) and grant of the Ministry of education of the Russian Federation.
Reference: 
  1. Kapitsa SP, Kurdyumov SP, Malinetskii GG. Synergy and Forecasts for the Future. M.: Nauka; 1997. 285 p. (in Russian).
  2. Koronovskii AA, Trubetskov DI. Nonlinear Dynamics in Action. Saratov: College; 1995. 130 p. (in Russian).
  3. Pojzner BN. About the “subject” of self-organization. Izvestiya VUZ. Applied Nonlinear Dynamics. 1996;4(4):149-158. (in Russian).
  4. Yablonskii AI. Mathematical Models in the Study of Science. М.: Nauka; 1986. 352 p.
  5. Kachak VV, Mchedlova ES. Model of interaction between two scientific areas, taking into account the limitation of exponential growth of achievements. Izvestiya VUZ. Applied Nonlinear Dynamics. 1998;6(2):85. (in Russian).
  6. Trubetskov DI, Kuzneetsov NI, Usanov DA. Integration is the burden of expectations: Socio-economic aspects of integration in the education and science system. Saratov: College; 1998. 72 p.
  7. Kuznetsov SP. Doubling bifurcations in a simple distributed system model. Radiophysics and Quantum Electronics. 1982;25(11):1364-1368. (in Russian).
  8. Kuznetsov AP, Kuznetsov SP. Critical dynamics of related mapping grids at the threshold of chaos. Radiophysics and Quantum Electronics. 1991;34(10-11):1079-1115.
  9. Waller I, Kapral R. Spatial аnd temporal structure in system of coupled non— linear oscillators. Phys. Rev. А. 1984:30(4):2047-2055. DOI: 10.1103/PhysRevA.30.2047.
  10. Kaneko K. Period doubling оf kink—antikink patterns, quasiperiodicity in antiferro—like structures and spatial intermittency in coupled logistic lattice. Prog. Theor. Phys. 1984;72(3):480-486. DOI: 10.1143/PTP.72.480.
  11. Kaneko K. Theory and applications of coupled map lattices. New York: Wiley; 1993. 195p.
Received: 
07.09.2000
Accepted: 
18.01.2001
Published: 
25.03.2001
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