Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Catastrophe_theory> ?p ?o }
- Catastrophe_theory abstract "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 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. It considers the special case where the long-run stable equilibrium can be identified with the minimum of a smooth, well-defined potential function (Lyapunov 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. However, examined in a larger parameter space, catastrophe theory reveals that such bifurcation points tend to occur as part of well-defined qualitative geometrical structures.".
- Catastrophe_theory wikiPageExternalLink eng_index.html.
- Catastrophe_theory wikiPageExternalLink catastrophe.html.
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- Catastrophe_theory wikiPageWikiLink ADE_classification.
- Catastrophe_theory wikiPageWikiLink Bifurcation_theory.
- Catastrophe_theory wikiPageWikiLink Black_hole.
- Catastrophe_theory wikiPageWikiLink Black_holes.
- Catastrophe_theory wikiPageWikiLink Broken_symmetry.
- Catastrophe_theory wikiPageWikiLink Butterfly_effect.
- Catastrophe_theory wikiPageWikiLink Category:Bifurcation_theory.
- Catastrophe_theory wikiPageWikiLink Category:Chaos_theory.
- Catastrophe_theory wikiPageWikiLink Category:Singularity_theory.
- Catastrophe_theory wikiPageWikiLink Category:Systems_theory.
- Catastrophe_theory wikiPageWikiLink Chaos_theory.
- Catastrophe_theory wikiPageWikiLink Christopher_Zeeman.
- Catastrophe_theory wikiPageWikiLink Dark_matter.
- Catastrophe_theory wikiPageWikiLink Diffeomorphism.
- Catastrophe_theory wikiPageWikiLink Domino_effect.
- Catastrophe_theory wikiPageWikiLink Dynamical_system.
- Catastrophe_theory wikiPageWikiLink Erik_Christopher_Zeeman.
- Catastrophe_theory wikiPageWikiLink Geometry.
- Catastrophe_theory wikiPageWikiLink Germ_(mathematics).
- Catastrophe_theory wikiPageWikiLink Gravitational_lens.
- Catastrophe_theory wikiPageWikiLink Gravitational_lensing.
- Catastrophe_theory wikiPageWikiLink Hysteresis.
- Catastrophe_theory wikiPageWikiLink Ian_Stewart_(mathematician).
- Catastrophe_theory wikiPageWikiLink Landslide.
- Catastrophe_theory wikiPageWikiLink Lyapunov_function.
- Catastrophe_theory wikiPageWikiLink Magnitude_(mathematics).
- Catastrophe_theory wikiPageWikiLink Mathematics.
- Catastrophe_theory wikiPageWikiLink Optics.
- Catastrophe_theory wikiPageWikiLink Outer_sphere_electron_transfer.
- Catastrophe_theory wikiPageWikiLink Phase_transition.
- Catastrophe_theory wikiPageWikiLink Pitchfork_bifurcation.
- Catastrophe_theory wikiPageWikiLink Qualitative_data.
- Catastrophe_theory wikiPageWikiLink Qualitative_property.
- Catastrophe_theory wikiPageWikiLink Quasar.
- Catastrophe_theory wikiPageWikiLink Quasars.
- Catastrophe_theory wikiPageWikiLink René_Thom.
- Catastrophe_theory wikiPageWikiLink Salvador_Dalí.
- Catastrophe_theory wikiPageWikiLink Scalar_potential.
- Catastrophe_theory wikiPageWikiLink Simple_Lie_group.
- Catastrophe_theory wikiPageWikiLink Singularity_theory.
- Catastrophe_theory wikiPageWikiLink Snowball_effect.
- Catastrophe_theory wikiPageWikiLink Spontaneous_symmetry_breaking.
- Catastrophe_theory wikiPageWikiLink Structural_Fracture_Mechanics.
- Catastrophe_theory wikiPageWikiLink Structural_fracture_mechanics.
- Catastrophe_theory wikiPageWikiLink Structural_stability.
- Catastrophe_theory wikiPageWikiLink Symmetry_breaking.
- Catastrophe_theory wikiPageWikiLink Taylor_series.
- Catastrophe_theory wikiPageWikiLink The_Swallows_Tail.
- Catastrophe_theory wikiPageWikiLink Tim_Poston.
- Catastrophe_theory wikiPageWikiLink Valentin_Afraimovich.
- Catastrophe_theory wikiPageWikiLink Vladimir_Arnold.
- Catastrophe_theory wikiPageWikiLink File:Cusp_catastrophe.svg.
- Catastrophe_theory wikiPageWikiLink File:Cusp_shape.svg.
- Catastrophe_theory wikiPageWikiLink File:Fold_bifurcation.svg.
- Catastrophe_theory wikiPageWikiLink File:Pitchfork_bifurcation_left.svg.
- Catastrophe_theory wikiPageWikiLink File:Smallow_tail.jpg.
- Catastrophe_theory wikiPageWikiLinkText "Catastrophe theory".
- Catastrophe_theory wikiPageWikiLinkText "Catastrophe theory#Butterfly catastrophe".
- Catastrophe_theory wikiPageWikiLinkText "Catastrophe_theory#Cusp_catastrophe".
- Catastrophe_theory wikiPageWikiLinkText "Cusp catastrophe".
- Catastrophe_theory wikiPageWikiLinkText "Fold catastrophe".
- Catastrophe_theory wikiPageWikiLinkText "Mathematical Catastrophe Theory".
- Catastrophe_theory wikiPageWikiLinkText "Swallowtail catastrophe".
- Catastrophe_theory wikiPageWikiLinkText "Topological models of morphogenesis".
- Catastrophe_theory wikiPageWikiLinkText "butterfly".
- Catastrophe_theory wikiPageWikiLinkText "catastrophe theory".
- Catastrophe_theory wikiPageWikiLinkText "catastrophe".
- Catastrophe_theory wikiPageWikiLinkText "catastrophes".
- Catastrophe_theory wikiPageWikiLinkText "cusp catastrophe distribution".
- Catastrophe_theory wikiPageWikiLinkText "cusp".
- Catastrophe_theory wikiPageWikiLinkText "elementary catastrophes".
- Catastrophe_theory wikiPageWikiLinkText "elliptic umbilic".
- Catastrophe_theory wikiPageWikiLinkText "fold catastrophe".
- Catastrophe_theory wikiPageWikiLinkText "fold".
- Catastrophe_theory wikiPageWikiLinkText "hyperbolic umbilic".
- Catastrophe_theory wikiPageWikiLinkText "list".
- Catastrophe_theory wikiPageWikiLinkText "parabolic umbilic".
- Catastrophe_theory wikiPageWikiLinkText "purse points".
- Catastrophe_theory wikiPageWikiLinkText "pyramid points".
- Catastrophe_theory wikiPageWikiLinkText "swallowtail points".
- Catastrophe_theory wikiPageWikiLinkText "swallowtail".
- Catastrophe_theory hasPhotoCollection Catastrophe_theory.
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- Catastrophe_theory subject Category:Bifurcation_theory.
- Catastrophe_theory subject Category:Chaos_theory.
- Catastrophe_theory subject Category:Singularity_theory.
- Catastrophe_theory subject Category:Systems_theory.
- Catastrophe_theory hypernym Branch.