BCSSS

International Encyclopedia of Systems and Cybernetics

2nd Edition, as published by Charles François 2004 Presented by the Bertalanffy Center for the Study of Systems Science Vienna for public access.

About

The International Encyclopedia of Systems and Cybernetics was first edited and published by the system scientist Charles François in 1997. The online version that is provided here was based on the 2nd edition in 2004. It was uploaded and gifted to the center by ASC president Michael Lissack in 2019; the BCSSS purchased the rights for the re-publication of this volume in 200?. In 2018, the original editor expressed his wish to pass on the stewardship over the maintenance and further development of the encyclopedia to the Bertalanffy Center. In the future, the BCSSS seeks to further develop the encyclopedia by open collaboration within the systems sciences. Until the center has found and been able to implement an adequate technical solution for this, the static website is made accessible for the benefit of public scholarship and education.

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STABILITY (in the sense of LIAPOUNOV) 2)5)

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Basically, LIAPOUNOV's stability implies that variations in the initial conditions do not change the qualitative behavior of the system, i.e. allowing for definite phase transitions between a limited number of qualified possible states.

J.L. CHABERT and A.D. DALMEDICO write: "POINCARÉ considered also another concept of stability, which was make clearer somewhat later on by the Russian mathematician LYAPUNOV, and which concerns the difference between a periodic trajectory and the neighbouring ones: if the difference diminishes the trajectory is stable. The solutions are stable or unstable in relation to certain coefficients which typify them, the "characteristic exponents" (1991, p.570).

These are known as "LYAPUNOV exponents" and defines trajectories which maybe asymptotic, periodic or chaotic.

Categories

  • 1) General information
  • 2) Methodology or model
  • 3) Epistemology, ontology and semantics
  • 4) Human sciences
  • 5) Discipline oriented

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Bertalanffy Center for the Study of Systems Science(2020).

To cite this page, please use the following information:

Bertalanffy Center for the Study of Systems Science (2020). Title of the entry. In Charles François (Ed.), International Encyclopedia of Systems and Cybernetics (2). Retrieved from www.systemspedia.org/[full/url]

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