Catastrophe theory

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High Quality Content by WIKIPEDIA articles! In mathematics, catastrophe theory is a branch of bifurcation theory in the study of dynamical systems it is also a particular special case of more general singularity theory in geometry. Bifurcation theory studies and classifies phenomena characterized by sudden shifts in behavior arising from small changes in circumstances, analysing how the qualitative nature of equation solutions depends on the parameters that appear in the equation. This may lead to sudden and dramatic changes, for example the unpredictable timing and magnitude of a landslide. Catastrophe theory, which originated with the work of the French mathematician René Thom in the 1960s, and became very popular due to the efforts of Christopher Zeeman in the 1970s, considers the special case where the long-run stable equilibrium can be identified with the minimum of a smooth, well-defined potential function Small changes in certain parameters of a nonlinear system can cause equilibria to appear or disappear, or to change from attracting to repelling and vice versa, leading to large and sudden changes of the behaviour of the system

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130240097
    • Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
    • Sprache Englisch
    • Größe H220mm x B150mm x T6mm
    • Jahr 2009
    • EAN 9786130240097
    • Format Fachbuch
    • ISBN 978-613-0-24009-7
    • Titel Catastrophe theory
    • Untertitel Mathematics, Bifurcation theory, Dynamical system, Singularity theory, Qualitative, Magnitude (mathematics), Landslide, René Thom, Erik Christopher Zeeman, Scalar potential, Broken symmetry
    • Gewicht 165g
    • Herausgeber Alphascript Publishing
    • Anzahl Seiten 100
    • Genre Mathematik

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