Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches

Chilachava Temur; Gvinjilia Tsira

doi:doi:10.11648/j.ijssam.20170206.11

| Peer-Reviewed

Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches

Chilachava Temur, Gvinjilia Tsira

Published in International Journal of Systems Science and Applied Mathematics (Volume 2, Issue 6)

Received: 23 August 2017 Accepted: 25 September 2017 Published: 2 November 2017

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

In work the new nonlinear continuous mathematical model of interference of fundamental and applied researches on the example of one, perhaps closed for external customers, of scientifically - research institute (micro-model) is considered. For a special case, Cauchy's problem for nonlinear system of differential equations of first order is definitely decided analytically. In more general case based on Bendikson's criteria the theorem of not existence in the first quarter of the phase plane of solutions of closed integral curves is proved. Conditions on model parameters in case of which existence of limited solutions of system of nonlinear differential equations is possible are found.

Published in	International Journal of Systems Science and Applied Mathematics (Volume 2, Issue 6)
DOI	10.11648/j.ijssam.20170206.11
Page(s)	110-115
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Nonlinear Mathematical Model, Fundamental and Applied Researches, Phase Plane, Bendikson's Criteria

References

[1]	Samarski A. A., Mihailov A. P. Mathematical modeling. Moskow, Fizmatlit, 2006 (russian).
[2]	Chilachava T. I., Dzidziguri Ts. D. Mathematical modeling. Tbilisi, Inovacia, 2008, (georgian).
[3]	Chilachava T. I., Kereselidze N. G. Mathematical modeling of the information warfare. Georgian Electronic Scientific Journal: Computer Science and Telecommunications, 2010, № 1 (24), pp. 78-105 (georgian).
[4]	Chilachava T. I., Kereselidze N. G. Non-preventive continuous linear mathematical model of information warfare. Sokhumi State University Proceedings, Mathematics and Computer Sciences, 2009, № VII, pp. 91–112.
[5]	Chilachava T. I., Kereselidze N. G. Continuous linear mathematical model of preventive information warfare. Sokhumi State University Proceedings, Mathematics and Computer Sciences, 2009, № VII, pp. 113–141.
[6]	Chilachava T. I., Kereselidze N. G. Optimizing Problem of Mathematical Model of Preventive Information Warfare, Informational and Communication Technologies –Theory and Practice: Proceedings of the International Scientific Conference ICTMC- 2010 USA, Imprint: Nova, 2011, pp. 525–529.
[7]	ChilachavaT. I., Kereselidze N. G. Mathematical modeling of information warfare. Information warfare, 2011, №1(17), стр. 28–35 (russian).
[8]	Chilachava T. I., Chakhvadze A. Continuous nonlinear mathematical and computer model of information warfare with participation of authoritative interstate institutes. Georgian Electronic Scientific Journal: Computer Science and Telecommunications, 2014, № 4(44), pp. 53–74.
[9]	Kereselidze N. An optimal control problem in mathematical and computer models of the information warfare. Differential and Difference Equations with Applications: ICDDEA, Amadora, Portugal, May 2015, Selected Contributions. Springer Proceedings in Mathematics & Statistics, 164, DOI 10.1007/978-3-319-32857-7_28, Springer International Publishing Switzerland 2016, pp. 303-311.
[10]	Kereselidze N. G. Chilker’s type mathematical and computer models in the information warfare. Information warfare, 2016, № 2 (38), pp. 28–35 (russian).
[11]	Chilachava T. I., Dzidziguri Ts. D., Sulava L. O., Chakaberia M. R. Nonlinear mathematical model of administrative management. Sokhumi State University Proceedings, Mathematics and Computer Sciences, vol. VII, 2009, pp.169–180 (georgian).
[12]	Chilachava T. I., Sulava L. O., Chakaberia M. R. On some nonlinear mathematical model of administration. Problems of security management of complex systems. Proceedings of the XVIII International Conference, Moscow, 2010, pp. 492–496 (russian).
[13]	Chilachava T. I., SulavaL. O. A nonlinear mathematical model of management. Georgian Electronic Scientific Journal: Computer Science and Telecommunications, 2013, №1(37) pp. 60–64 (russian).
[14]	Chilachava T. I. Nonlinear mathematical model of the dynamics of the voters pro-government and opposition parties (the two election subjects) Basic paradigms in science and technology. Development for the XXI century. Transactions II. 2012, pp. 184–188 (russian).
[15]	Chilachava T. I Nonlinear mathematical model of the dynamics of the voters pro-government and opposition parties. Problems of security management of complex systems. Proceedings of the XX International Conference, Moscow, 2012, pp. 322–324 (russian).
[16]	Chilachava T. I. Nonlinear mathematical model of dynamics of voters of two political subjects. Seminar of the Institute of Applied Mathematics named I. Vekua Reports, 2013, vol. 39, pp. 13–22.
[17]	Chilachava T. I. Nonlinear mathematical model of three-party elections. Problems of security management of complex systems. Proceedings of the XXI International Conference, Moscow, 2013, pp. 513-516.
[18]	Chilachava T. I., Chochua Sh. G. Nonlinear mathematical model of two-party elections in the presence of election fraud. Problems of security management of complex systems. Proceedings of the XXI International Conference, Moscow, 2013, pp. 349–352 (russian).
[19]	Chilachava T. I., Sulava L. O. Mathematical and computer modeling of nonlinear processes of elections with two selective subjects. Georgian Electronic Scientific Journal: Computer Science and Telecommunications, 2015, № 2(46), pp. 61–78.
[20]	Sulava L. O. Mathematical and computer modeling of nonlinear processes of elections. Works of the International conference ""Information and Computer Technologies, Modelling, Management"" devoted to the 85 anniversary since the birth of I. V. Prangishvili, Tbilisi, 2015, by p. 387–390 (russian).
[21]	Chilachava T. I., Sulava L. O. Mathematical and computer simulation of processes of elections with two selective subjects and float factors of model. Problems of security management of difficult systems. Works XXIII of the International conference, Moscow, 2015, p. 356–359 (russian).
[22]	Chilachava T. I., Sulava L. O. Mathematical and computer modeling of three-party elections. GESJ: Computer Sciences and Telecommunications, 2016, № 2 (48), pp. 59-72.
[23]	Chilachava T. I. Nonlinear mathematical model of bilateral assimilation Georgian Electronic Scientific Journal: Computer Science and Telecommunications, 2014, № 1(41), pp. 61–67.
[24]	Chilachava T. I., Chakaberia M. R. Mathematical modeling of nonlinear process of assimilation taking into account demographic factor. Georgian Electronic Scientific Journal: Computer Science and Telecommunications, 2014, № 4 (44), pg. 35–43.
[25]	Chilachava T. I., Chakaberia M. R. Mathematical modeling of nonlinear processes bilateral assimilation, Georgian Electronic Scientific Journal: Computer Science and Telecommunications, 2015, № 2(46), pg. 79-85.
[26]	Chilachava T. I., Chakaberia M. R. Mathematical modeling of nonlinear processes of two-level assimilation, Georgian Electronic Scientific Journal: Computer Science and Telecommunications, 2016, № 3(49), pg. 34–48.
[27]	Chilachava T., Gvinjilia Ts. Nonlinear mathematical model of dynamics of processes of cooperation interaction in innovative system. VII International Conference of the Georgian mathematical union, Book of Abstracts, Batumi, 2016, pp. 104–105.
[28]	Chilachava T., Gvinjilia Ts. Nonlinear mathematical model of interaction of fundamental and applied researches, Problems of security management of difficult systems. Works XXIV of the International conference, Moscow, 2016, pp. 289-292 (russian).

Cite This Article

Plain Text BibTeX RIS

APA Style

Chilachava Temur, Gvinjilia Tsira. (2017). Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches. International Journal of Systems Science and Applied Mathematics, 2(6), 110-115. https://doi.org/10.11648/j.ijssam.20170206.11

Copy | Download

ACS Style

Chilachava Temur; Gvinjilia Tsira. Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches. Int. J. Syst. Sci. Appl. Math. 2017, 2(6), 110-115. doi: 10.11648/j.ijssam.20170206.11

Copy | Download

AMA Style

Chilachava Temur, Gvinjilia Tsira. Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches. Int J Syst Sci Appl Math. 2017;2(6):110-115. doi: 10.11648/j.ijssam.20170206.11

Copy | Download

@article{10.11648/j.ijssam.20170206.11,
  author = {Chilachava Temur and Gvinjilia Tsira},
  title = {Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches},
  journal = {International Journal of Systems Science and Applied Mathematics},
  volume = {2},
  number = {6},
  pages = {110-115},
  doi = {10.11648/j.ijssam.20170206.11},
  url = {https://doi.org/10.11648/j.ijssam.20170206.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijssam.20170206.11},
  abstract = {In work the new nonlinear continuous mathematical model of interference of fundamental and applied researches on the example of one, perhaps closed for external customers, of scientifically - research institute (micro-model) is considered. For a special case, Cauchy's problem for nonlinear system of differential equations of first order is definitely decided analytically. In more general case based on Bendikson's criteria the theorem of not existence in the first quarter of the phase plane of solutions of closed integral curves is proved. Conditions on model parameters in case of which existence of limited solutions of system of nonlinear differential equations is possible are found.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches
AU  - Chilachava Temur
AU  - Gvinjilia Tsira
Y1  - 2017/11/02
PY  - 2017
N1  - https://doi.org/10.11648/j.ijssam.20170206.11
DO  - 10.11648/j.ijssam.20170206.11
T2  - International Journal of Systems Science and Applied Mathematics
JF  - International Journal of Systems Science and Applied Mathematics
JO  - International Journal of Systems Science and Applied Mathematics
SP  - 110
EP  - 115
PB  - Science Publishing Group
SN  - 2575-5803
UR  - https://doi.org/10.11648/j.ijssam.20170206.11
AB  - In work the new nonlinear continuous mathematical model of interference of fundamental and applied researches on the example of one, perhaps closed for external customers, of scientifically - research institute (micro-model) is considered. For a special case, Cauchy's problem for nonlinear system of differential equations of first order is definitely decided analytically. In more general case based on Bendikson's criteria the theorem of not existence in the first quarter of the phase plane of solutions of closed integral curves is proved. Conditions on model parameters in case of which existence of limited solutions of system of nonlinear differential equations is possible are found.
VL  - 2
IS  - 6
ER  -

Copy | Download

Author Information

Chilachava Temur

Departament of Applied Mathematics, Sokhumi State University, Tbilisi, Georgia
Gvinjilia Tsira

Department of Exact and Natural Sciences, Batumi State Maritime Academy, Batumi, Georgia

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

Chilachava Temur, Gvinjilia Tsira. (2017). Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches. International Journal of Systems Science and Applied Mathematics, 2(6), 110-115. https://doi.org/10.11648/j.ijssam.20170206.11

Copy | Download

ACS Style

Chilachava Temur; Gvinjilia Tsira. Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches. Int. J. Syst. Sci. Appl. Math. 2017, 2(6), 110-115. doi: 10.11648/j.ijssam.20170206.11

Copy | Download

AMA Style

Chilachava Temur, Gvinjilia Tsira. Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches. Int J Syst Sci Appl Math. 2017;2(6):110-115. doi: 10.11648/j.ijssam.20170206.11

Copy | Download

@article{10.11648/j.ijssam.20170206.11,
  author = {Chilachava Temur and Gvinjilia Tsira},
  title = {Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches},
  journal = {International Journal of Systems Science and Applied Mathematics},
  volume = {2},
  number = {6},
  pages = {110-115},
  doi = {10.11648/j.ijssam.20170206.11},
  url = {https://doi.org/10.11648/j.ijssam.20170206.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijssam.20170206.11},
  abstract = {In work the new nonlinear continuous mathematical model of interference of fundamental and applied researches on the example of one, perhaps closed for external customers, of scientifically - research institute (micro-model) is considered. For a special case, Cauchy's problem for nonlinear system of differential equations of first order is definitely decided analytically. In more general case based on Bendikson's criteria the theorem of not existence in the first quarter of the phase plane of solutions of closed integral curves is proved. Conditions on model parameters in case of which existence of limited solutions of system of nonlinear differential equations is possible are found.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches
AU  - Chilachava Temur
AU  - Gvinjilia Tsira
Y1  - 2017/11/02
PY  - 2017
N1  - https://doi.org/10.11648/j.ijssam.20170206.11
DO  - 10.11648/j.ijssam.20170206.11
T2  - International Journal of Systems Science and Applied Mathematics
JF  - International Journal of Systems Science and Applied Mathematics
JO  - International Journal of Systems Science and Applied Mathematics
SP  - 110
EP  - 115
PB  - Science Publishing Group
SN  - 2575-5803
UR  - https://doi.org/10.11648/j.ijssam.20170206.11
AB  - In work the new nonlinear continuous mathematical model of interference of fundamental and applied researches on the example of one, perhaps closed for external customers, of scientifically - research institute (micro-model) is considered. For a special case, Cauchy's problem for nonlinear system of differential equations of first order is definitely decided analytically. In more general case based on Bendikson's criteria the theorem of not existence in the first quarter of the phase plane of solutions of closed integral curves is proved. Conditions on model parameters in case of which existence of limited solutions of system of nonlinear differential equations is possible are found.
VL  - 2
IS  - 6
ER  -

Copy | Download