title: The global stability of the Schumpeterian dynamical system
metadata.name: dc.contributor.author
metadata.value: Kirillov, Alexander N.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Sazonov, Alexander M.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-01-19T12:56:35Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-01-19T12:56:35Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Kirillov A. N., Sazonov A. M. The global stability of the Schumpeterian dynamical system. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2020, vol. 16, iss. 4, pp. 348–356.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2020.401
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/22451
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this article, we present the studies that develop Schumpeter’s theory of endogenous
  evolution of economic systems. An approach to modeling the limitation of economic growth
  due to the limitation of markets, resource bases and other factors is proposed. For this
  purpose, the concept of economic niche volume is introduced. The global stability of the
  equilibrium of the dynamical system with the Jacobi matrix having, at the equilibrium, all
  eigenvalues equal to zero, except one being negative, is proved. The proposed model makes
  it possible to evaluate and predict the dynamics of the development of firms in the economic
  sector.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work was supported by Russian Foundation for Basic Research (project N 18-01-00249).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 16; Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: dynamical systems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Schumpeterian dynamics
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: global stability
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: The global stability of the Schumpeterian dynamical system
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 348-356.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/22451/1/348-356.pdf
resources.format: Adobe PDF
resources.size: 295,39 kB