1984
DOI: 10.1007/bf00762940
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Structural stability properties of friedman cosmology

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Cited by 25 publications
(13 citation statements)
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“…In general, there is a widespread opinion that physically realistic models of the world should possess some kind of structural stability. Because, there can by many dramatically different mathematical models all agreeing with observations and it would be fatal for the empirical methods of science [32] if we are taking into account final errors of measurements [33]. In our opinion structural stability of dark energy models (note that ΛCDM is favored by astronomical data by Bayesian selection framework [34,35,36,37]) reflects their flexibility with respect the data fitting.…”
Section: Brane Dark Energy Models As a Dynamical Systems Concludmentioning
confidence: 98%
“…In general, there is a widespread opinion that physically realistic models of the world should possess some kind of structural stability. Because, there can by many dramatically different mathematical models all agreeing with observations and it would be fatal for the empirical methods of science [32] if we are taking into account final errors of measurements [33]. In our opinion structural stability of dark energy models (note that ΛCDM is favored by astronomical data by Bayesian selection framework [34,35,36,37]) reflects their flexibility with respect the data fitting.…”
Section: Brane Dark Energy Models As a Dynamical Systems Concludmentioning
confidence: 98%
“…2. The physically realistic models of the world should possess some kind of the structural stability because having so many dramatically different models all agreeing with observation would be fatal for the empirical method of science (Shtanov 2000;Sahni 2003, see also Thom 1977;Szydlowski et al 1984;Biesiada 2003;Golda et al 1987;Tavakol and Ellis 1988).…”
Section: Structural Stability Issuesmentioning
confidence: 99%
“…A certain property (such as acceleration, singularities etc.) is believed to be realistic if it can be attributed to a large subset of models within the space of all solutions (Szydlowski et al 1984). The evolutional scenarios are represented by the phase curves or by critical points, limit circles or the other limit sets.…”
Section: Genericity Of Acceleration Scenario In the Framework Of Strumentioning
confidence: 99%
“…Such a cosmological model with the imperfect fluid ( D const) has been considered since Heller et al [3] and Belinskii et al [4]. The Einstein field equation (2) for this model reduces to [5] …”
Section: Introductionmentioning
confidence: 99%