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Topic: Catastrophe theory

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In the News (Thu 25 Apr 19)

  Catastrophe Theory
Originated by the French mathematician Rene Thom in the 1960s, catastrophe theory is a special branch of dynamical systems theory.
Catastrophes are bifurcations between different equilibria, or fixed point attractors.
Catastrophe theory has been applied to a number of different phenomena, such as the stability of ships at sea and their capsizing, bridge collapse, and, with some less convincing success,
www.exploratorium.edu /complexity/CompLexicon/catastrophe.html   (134 words)

  ScienceDaily: Toba catastrophe theory   (Site not responding. Last check: 2007-10-26)
According to the Toba catastrophe theory, modern human evolution was affected by a recent, large volcanic event.
According to the Toba catastrophe theory, a massive volcanic eruption changed the course of human history by severely reducing the human population.
Toba catastrophe theory -- According to the Toba catastrophe theory, modern human evolution was affected by a recent, large volcanic event.
www.sciencedaily.com /encyclopedia/Toba_catastrophe_theory   (1597 words)

 Agency Theory
Agency theory, developed in the 1970s, refers to the variety of ways in which agents, linked by contractual arrangements with a firm, influence its behavior.
Also see: theory of the growth of the firm, theory of the firm, organization theory, managerial theories of the firm, bureaucracy
'Theory of the Firm: Managerial Behavior, Agency Costs and Ownership Structure', Journal of Financial Economics, vol.
www.economyprofessor.com /economictheories/agency-theory.php   (142 words)

 Amazon.com: Catastrophe Theory: Books: V. I. Arnol'D,G. S. Wassermann   (Site not responding. Last check: 2007-10-26)
Catastrophe theory was the first mathematical "advance" to receive extensive coverage in the popular press since quantum mechanics.
Catastrophe theory is introduced as a sort of merger of Whitney's theory of singularities of mappings and Poincaré's qualitative theory of dynamical systems.
Poincaré's bifurcation theory of dynamical systems may now be perceived similarly on a metalevel where the systems themselves are points in a space--again an infinitesimal move in the system space may cause drastic changes of the system's equilibria.
www.amazon.com /Catastrophe-Theory-V-I-ArnolD/dp/0387548114   (1487 words)

 CATASTROPHE THEORY,   (Site not responding. Last check: 2007-10-26)
One such physical “catastrophe,” for example, would be the sudden yielding of metal to strain.
Catastrophe theory was first presented in 1968 by the French mathematician René Thom (1923–2002), and it attracted many researchers in the 1970s.
Intended to be useful for discontinuous events in the biological and social sciences, the theory has since been criticized as impractical.
www.history.com /encyclopedia.do?vendorId=FWNE.fw..ca067000.a   (571 words)

 Catastrophe Theory (Thom)
Catastrophe Theory (CT) (René Thom) is a mathematical treatment of continuous action producing a discontinuous result.
Now regarded as part of Chaos Theory, Catastrophe Theory was developed in the late 1960s and presented quite independently in 1972 by the mathematician René Thom in his book: "Structural Stability and Morphogenesis".
There is another form of change which is ‘catastrophic’, abrupt, radical, a fundamental departure from what went on before the change.
www.12manage.com /methods_thom_catastrophe_theory.html   (903 words)

 Catastrophe theory - Biocrawler   (Site not responding. Last check: 2007-10-26)
Catastrophe theory is a branch of mathematics that deals with dynamical systems and was originated with the work of the French mathematician René Thom in the 1960s.
Structural Stability and Morphogenesis: An Outline of a General Theory of Models.
Broken symmetry, tipping point, phase transition, domino effect, snowball effect, Butterfly effect, spontaneous symmetry breaking, Singularity theory.
www.biocrawler.com /encyclopedia/Catastrophe_theory   (139 words)

 Catastrophe theory   (Site not responding. Last check: 2007-10-26)
Catastrophe theory was very fashionable in 70-s and 80-s.
The theory of catastrophes was applied to the spruce budworm (Choristoneura fumiferana) (Casti 1982, Ecol.
We will use the model which was considered in the previous section and modify it by adding a slow variable: the average age of trees in the stand.
www.ento.vt.edu /~sharov/PopEcol/lec13/catast.html   (585 words)

Catastrophe theory is a mathematical development in topology and an extension of calculus.
In sum, then, the catastrophe model of the conflict helix is defined by Equation 11 and Equation 12, with restrictions of Equation 13.
Catastrophe theory is too new for the associated statistical models and tests to be thoroughly developed.
www.hawaii.edu /powerkills/CAT.ART.HTM   (8805 words)

 The Orgel's Error Catastrophe Theory of Aging and Longevity
Mutations, which are harmless in a first time, may become deleterious when their effect is combined with other insignificant changes in the internal organisation of a living entity, just because, for instance, there is a threshold in the number of these mutations and changes, from which a metabolic function is impaired.
An example is given by the monistic theory of Orgel (Orgel, 1963).
It is no brainier to link an exponential increase in error frequency of macromolecular biosynthesis (predicted by the Orgel's error catastrophe theory) to exponential increase in death rates (Gompertz function) for aging cells.
www.longevity-science.org /orgel.html   (795 words)

 Convergence Theory
loanable funds theory of the rate of interest
Weber's theory of the location of the firm
Theory of development of industrial nations, first proposed by Dutch economist JAN TINBERGEN (1903-1994).
www.economyprofessor.com /economictheories/convergence-theory.php   (146 words)

 Cobweb Theory
Named by Hungarian-born economist Nicholas Kaldor (1908-1986), cobweb theory stems from a simple dynamic model of cyclical demand which involves time lags between the response of production and a change in price (most often seen in agricultural sectors).
Cobweb theory focuses on the process of adjustment in markets by tracing the path of prices and outputs in different equilibrium situations.
It is so named because its graphic representation resembles a cobweb with the equilibrium point at the center of the cobweb.
www.economyprofessor.com /economictheories/cobweb-theory.php   (171 words)

 Catastrophe Theory
Catastrophe theory has its roots in the work of French mathematician Jules Henri Poincare (1854-1912).
A mathematical study of the transition from one state of equilibrium to another and the ensuing instability.
The analysis shows how many stable equilibria exist given a choice of control variables but does not show which of them will be in a particular system.
www.economyprofessor.com /economictheories/catastrophe-theory.php   (109 words)

 Capital Theory
Karl Marx (1818-1883), capital theory analyzes links among the theories of production, growth, value and distribution to explain why capital produces a return that keeps capital intact yet yields interest or a profit which is permanent.
Classical economists interpreted capital as raw materials and the wages fund; Marxist economists saw capital as a social mode of production; the Austrian school maintained that time was crucial to the concept of capital.
C J Bliss, Capital Theory and the Distribution of Income (New York, 1975)
www.economyprofessor.com /economictheories/capital-theory.php   (157 words)

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