Evolution of an Unstable Dynamical System in Mathematical Models of the Theory of Populations of Families of Small Bodies

Gasanbek Arazov; Terane Aliyeva

doi:doi:10.11648/j.wjap.20180303.11

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Evolution of an Unstable Dynamical System in Mathematical Models of the Theory of Populations of Families of Small Bodies

Gasanbek Arazov, Terane Aliyeva

Published in World Journal of Applied Physics (Volume 3, Issue 3)

Received: 30 October 2018 Accepted: 8 December 2018 Published: 17 January 2019

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Abstract

The sum of an infinite number of forces acts in all points of the space of a dynamical system. The character of this sum of forces corresponds to the characteristic indicators of a dynamic system. Changes in this sum of forces over time lead to the evolution of the system. It may be in stable or unstable states. Unstable systems collapse over time. Their mass and energy are captured by stable systems, as a result of which the characteristic indicators of stable systems also change: they also become unstable and collapse. This process continues until the formation of a single (Main) dynamic system. After formation of the main dynamic system, the whole process is repeated again and again cyclically. Changes in the parameters and composition of matter of the Main Dynamic System, with specially selected initial conditions (as in the evolution of the observed Universe), coincide with changes in the parameters of our Universe in mathematical models of the theory of populations of families of small bodies.

Published in	World Journal of Applied Physics (Volume 3, Issue 3)
DOI	10.11648/j.wjap.20180303.11
Page(s)	51-53
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), 2019. Published by Science Publishing Group

Keywords

Automated Dynamic Systems, Evolution, Instability

References

[1]	Carey S. U., 1991. In search of the laws of development of the Earth and Universe, Moskva, Peace, 447 p.
[2]	Arazov G. T., Aliyeva T. H. Formation and Evolution of Sustainable Dynamic System Mathematical Models of the Theory of Population of Families of Small Bodies. Modern Thrends in physics. Conference Proceedings International Conference. Baku, 2017, page 135-137.
[3]	Cherniy А. N., From the Big Bang to the accelerated expansion of the Universe. News of Educational Institutions: Astronomy and Space Geodesy. Academy of Electrical Engineering of the Russian Federation. Moscow, volume 60, № 4, 2016, page 3-7.
[4]	Abraham Loeb and Steven R. Furlanetto. 2013. The first galaxies in the Universe, Prinston University Press. Prinston and Oxford, page 540.
[5]	Oded Regev. 2006. Chaos and complexity in Astrophysics, Cambridge University Press, page 455.
[6]	Safronov V. S., 1969, The evolution of the protoplanetary cloud and Earth and planetary formation, Moscow, Science, page 347.
[7]	Sun Y. S., Zhou L. Y., 2016. From ordered to chaotic motion in Celestial Mechanics, Nanjing University, China, World Scientific, page 405.
[8]	Zeleniy L. M., Zakharov A. V., Ksanfomaliti L. V., 2009. Researches of the solar system, the state and prospects, Moscow, Science, Russian Academy of Sciences, Volume 179, № 10, page 1118-1140.

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Gasanbek Arazov, Terane Aliyeva. (2019). Evolution of an Unstable Dynamical System in Mathematical Models of the Theory of Populations of Families of Small Bodies. World Journal of Applied Physics, 3(3), 51-53. https://doi.org/10.11648/j.wjap.20180303.11

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Gasanbek Arazov; Terane Aliyeva. Evolution of an Unstable Dynamical System in Mathematical Models of the Theory of Populations of Families of Small Bodies. World J. Appl. Phys. 2019, 3(3), 51-53. doi: 10.11648/j.wjap.20180303.11

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Gasanbek Arazov, Terane Aliyeva. Evolution of an Unstable Dynamical System in Mathematical Models of the Theory of Populations of Families of Small Bodies. World J Appl Phys. 2019;3(3):51-53. doi: 10.11648/j.wjap.20180303.11

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@article{10.11648/j.wjap.20180303.11,
  author = {Gasanbek Arazov and Terane Aliyeva},
  title = {Evolution of an Unstable Dynamical System in Mathematical Models of the Theory of Populations of Families of Small Bodies},
  journal = {World Journal of Applied Physics},
  volume = {3},
  number = {3},
  pages = {51-53},
  doi = {10.11648/j.wjap.20180303.11},
  url = {https://doi.org/10.11648/j.wjap.20180303.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20180303.11},
  abstract = {The sum of an infinite number of forces acts in all points of the space of a dynamical system. The character of this sum of forces corresponds to the characteristic indicators of a dynamic system. Changes in this sum of forces over time lead to the evolution of the system. It may be in stable or unstable states. Unstable systems collapse over time. Their mass and energy are captured by stable systems, as a result of which the characteristic indicators of stable systems also change: they also become unstable and collapse. This process continues until the formation of a single (Main) dynamic system. After formation of the main dynamic system, the whole process is repeated again and again cyclically. Changes in the parameters and composition of matter of the Main Dynamic System, with specially selected initial conditions (as in the evolution of the observed Universe), coincide with changes in the parameters of our Universe in mathematical models of the theory of populations of families of small bodies.},
 year = {2019}
}

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TY - JOUR
T1 - Evolution of an Unstable Dynamical System in Mathematical Models of the Theory of Populations of Families of Small Bodies
AU - Gasanbek Arazov
AU - Terane Aliyeva
Y1 - 2019/01/17
PY - 2019
N1 - https://doi.org/10.11648/j.wjap.20180303.11
DO - 10.11648/j.wjap.20180303.11
T2 - World Journal of Applied Physics
JF - World Journal of Applied Physics
JO - World Journal of Applied Physics
SP - 51
EP - 53
PB - Science Publishing Group
SN - 2637-6008
UR - https://doi.org/10.11648/j.wjap.20180303.11
AB - The sum of an infinite number of forces acts in all points of the space of a dynamical system. The character of this sum of forces corresponds to the characteristic indicators of a dynamic system. Changes in this sum of forces over time lead to the evolution of the system. It may be in stable or unstable states. Unstable systems collapse over time. Their mass and energy are captured by stable systems, as a result of which the characteristic indicators of stable systems also change: they also become unstable and collapse. This process continues until the formation of a single (Main) dynamic system. After formation of the main dynamic system, the whole process is repeated again and again cyclically. Changes in the parameters and composition of matter of the Main Dynamic System, with specially selected initial conditions (as in the evolution of the observed Universe), coincide with changes in the parameters of our Universe in mathematical models of the theory of populations of families of small bodies.
VL - 3
IS - 3
ER -

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Author Information

Gasanbek Arazov

Department of Mathematical Modelling and Automated Systems, Institute of Applied Mathematics of Baku State University, Baku, Azerbaijanv
Terane Aliyeva

Department of Theoretical Physics, Institute of Physical Problems of Baku State University, Baku, Azerbaijan

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APA Style

Gasanbek Arazov, Terane Aliyeva. (2019). Evolution of an Unstable Dynamical System in Mathematical Models of the Theory of Populations of Families of Small Bodies. World Journal of Applied Physics, 3(3), 51-53. https://doi.org/10.11648/j.wjap.20180303.11

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ACS Style

Gasanbek Arazov; Terane Aliyeva. Evolution of an Unstable Dynamical System in Mathematical Models of the Theory of Populations of Families of Small Bodies. World J. Appl. Phys. 2019, 3(3), 51-53. doi: 10.11648/j.wjap.20180303.11

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AMA Style

Gasanbek Arazov, Terane Aliyeva. Evolution of an Unstable Dynamical System in Mathematical Models of the Theory of Populations of Families of Small Bodies. World J Appl Phys. 2019;3(3):51-53. doi: 10.11648/j.wjap.20180303.11

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@article{10.11648/j.wjap.20180303.11,
  author = {Gasanbek Arazov and Terane Aliyeva},
  title = {Evolution of an Unstable Dynamical System in Mathematical Models of the Theory of Populations of Families of Small Bodies},
  journal = {World Journal of Applied Physics},
  volume = {3},
  number = {3},
  pages = {51-53},
  doi = {10.11648/j.wjap.20180303.11},
  url = {https://doi.org/10.11648/j.wjap.20180303.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20180303.11},
  abstract = {The sum of an infinite number of forces acts in all points of the space of a dynamical system. The character of this sum of forces corresponds to the characteristic indicators of a dynamic system. Changes in this sum of forces over time lead to the evolution of the system. It may be in stable or unstable states. Unstable systems collapse over time. Their mass and energy are captured by stable systems, as a result of which the characteristic indicators of stable systems also change: they also become unstable and collapse. This process continues until the formation of a single (Main) dynamic system. After formation of the main dynamic system, the whole process is repeated again and again cyclically. Changes in the parameters and composition of matter of the Main Dynamic System, with specially selected initial conditions (as in the evolution of the observed Universe), coincide with changes in the parameters of our Universe in mathematical models of the theory of populations of families of small bodies.},
 year = {2019}
}

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