Applications of catastrophe theory to the physical sciences (Q995012)

scientific article; zbMATH DE number 5784600

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English	Applications of catastrophe theory to the physical sciences	scientific article; zbMATH DE number 5784600

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instance of

scholarly article

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title

Applications of catastrophe theory to the physical sciences (English)

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published in

Physica D

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publication date

13 September 2010

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full work available at URL

https://doi.org/10.1016/0167-2789(81)90012-9

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Thom's Theorem for Banach Spaces

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Q5563918

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SINGULARITIES OF SMOOTH MAPPINGS

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ON MATRICES DEPENDING ON PARAMETERS

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LECTURES ON BIFURCATIONS IN VERSAL FAMILIES

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Integrals of rapidly oscillating functions and singularities of projections of Lagrangian manifolds

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Normal forms for functions near degenerate critical points, the Weyl groups of A\(_k\), D\(_k\), E\(_k\) and lagrangian singularities

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Classification of unimodal critical points of functions

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REMARKS ON THE STATIONARY PHASE METHOD AND COXETER NUMBERS

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NORMAL FORMS OF FUNCTIONS IN NEIGHBOURHOODS OF DEGENERATE CRITICAL POINTS

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Q3841706

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CRITICAL POINTS OF SMOOTH FUNCTIONS AND THEIR NORMAL FORMS

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Classification of bimodal critical points of functions

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Local normal forms of functions

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Wave front evolution and equivariant Morse lemma

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Index of a singular point of a vector field, the Petrovskii-Oleinik inequality, and mixed Hodge structures

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CRITICAL POINTS OF FUNCTIONS ON A MANIFOLD WITH BOUNDARY, THE SIMPLE LIE GROUPSBk,Ck, ANDF4AND SINGULARITIES OF EVOLUTES

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Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions

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Bifurcation phenomena in steady flows of a viscous fluid. I. Theory

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Bifurcation phenomena in steady flows of a viscous fluid II. Experiments

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Focusing and twinkling: critical exponents from catastrophes in non-Gaussian random short waves

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Q4194164

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Diffractals

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Umbilic points on Gaussian random surfaces

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Q4057338

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Post-buckling behavior of a nonlinearly hyperelastic thin rod with cross- section invariant under the dihedral group \(D_ n\)

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Singularities and Plane Maps

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Singularities and Plane Maps II: Sketching Catastrophes

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The double cusp has five minima

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Q4104623

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Generic multiparameter bifurcation from a manifold

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A global genericity theorem for bifurcations in variational problems

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Q4066279

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Bifurcation and Stability of Convective Flows in a Rotating or not Rotating Spherical Shell

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Applications of generic bifurcation. I

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Applications of generic bifurcation. II

0 references

Q3049549

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Q4197788

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On the instability of an internal gravity wave

0 references

Q5179981

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Oscillatory integrals, lagrange immersions and unfolding of singularities

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Q4194166

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Topological stability of smooth mappings

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Q3862121

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Contact equivalence for Lagrangian manifolds

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Stability of shock waves for a single conservation law

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An Introduction to Catastrophe Theory and Its Applications

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Q4046802

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A Qualitative Study of the Steady-State Solutions for a Continuous Flow Stirred Tank Chemical Reactor

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Classification and unfoldings of degenerate Hopf bifurcations

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A theory for imperfect bifurcation via singularity theory

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Imperfect bifurcation in the presence of symmetry

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Q3920339

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Q3880384

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A singularity theory analysis of a thermal-chainbranching model for the explosion peninsula

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Q4194168

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On differentiable functions with isolated critical points

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Catastrophes and partial differential equations

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Q4063861

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Q4060172

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The catastrophe controversy

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Remarks on a paper of D. Ludwig

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Structural stability in physics. Proceedings of two international symposia on applications of catastrophe theory and topological concepts in physics, Tübingen, Fed. Rep. of Germany, May 2-6 and December 11-14, 1978

0 references

Q4161604

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Bifurcation analysis of nonlinear reaction-diffusion equations. II: Steady state solutions and comparison with numerical simulations

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An exact sequence in differential topology

0 references

Q4067388

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The bifurcations of duffing's equation: An application of catastrophe theory

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The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale

0 references

The Post‐Buckling Behaviour of Structures under Combined Loading

0 references

Secondary Bifurcation in Nonlinear Diffusion Reaction Equations

0 references

Modelling critical behaviour in terms of catastrophe theory and fractal lattices

0 references

Q4194167

0 references

Q5552612

0 references

Q5620217

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Singularity theory and an introduction to catastrophe theory

0 references

On universal unfoldings of certain real functions on a Banach space

0 references

Determinacy in a class of germs on a reflexive Banach space

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Universal unfoldings in Banach spaces: reduction and stability

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A splitting lemma for non-reflexive Banach spaces.

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Q3854337

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Buckling of a thin annular plate under uniform compression

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Q4154814

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Q3879980

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Qualitative methods in bifurcation theory

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Q3334649

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Q4136232

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Stability of \(C^ \infty\) mappings. I: The division theorem

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Stability of \(C^\infty\) mappings. II: Infinitesimal stability implies stability

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Stability of \(C^ \infty\) mappings. III: Finitely determined map germs

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Stability of \(C^ \infty\) mappings. IV: Classification of stable germs by R-algebras

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Stability of \(C^ \infty\) mappings. V: Transversality

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Q5613108

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Q4181689

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Secondary States of Rectangular Plates

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Loss of stability and bifurcation at a double eigenvalue

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Q5724541

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Q3871594

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Morse Theory. (AM-51)

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Q4194165

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Q3893008

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Dislocations in wave trains

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Events in evolving three-dimensional vector fields

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Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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Q4181692

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Singularites \(C^\infty\) en presence de symétrie. En particulier en presence de la symétrie d'un groupe de Lie compact

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On the theory and application of the Hopf-Friedrich Bifurcation theory

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A model equation arising from chemical reactor theory

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The normal singularities of a submanifold

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0 references

0 references

0 references

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A geometrical study of the elementary catastrophes

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Q5606530

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On the local stability of wave fronts defined by eikonal equations

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Q3852850

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Numerical calculation of stable and unstable periodic solutions to the Hodgkin-Huxley equations

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Group Representation Theory and Branch Points of Nonlinear Functional Equations

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Group theoretic methods in bifurcation theory. With an appendix by P. Olver

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Qualitative analysis of a model for boundary effects in the Taylor problem

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A regularity theorem for conservation laws

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Bifurcation analysis near a double eigenvalue of a model chemical reaction

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Boundary conditions and mode jumping in the buckling of a rectangular plate

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On Legendre transformations and elementary catastrophes

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Vector and Tensor Theorems on Curved Surfaces

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Q3920751

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On Legendre transformations and umbilic catastrophes

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Constitutive surfaces in fluid mechanics

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On the null spaces of linear Fredholm operators depending on several parameters

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Q4769677

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SINGULARITIES OF FUNCTIONS ON BOUNDARIES, CORNERS, ETC.

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Einige Bemerkungen zur Entfaltung symmetrischer Funktionen

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Structurally Stable Systems are not Dense

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Differentiable dynamical systems

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Topology and mechanics. I

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Q4181693

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Catastrophe theory and equations of state: conditions for a butterfly singularity

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On Zeeman's equations for the nerve impulse

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Catastrophe theory

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Q4198686

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Catastrophe theory as applied to the social and biological sciences: A critique

0 references

Q5647668

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Q4097548

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Q4166990

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Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations

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Singularities of vector fields

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Q4058507

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Q4127715

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Structural Stability, Catastrophe Theory, and Applied Mathematics

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0 references

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Stability predictions through a succession of folds

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A buckling model for the set of umbilic catastrophes

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Q4121475

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Towards a unified bifurcation theory

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A bifurcation theory for the instabilities of optimization and design

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Q3776739

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Bifurcational instability of an atomic lattice

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The structure and evolution of flow fields and other vector fields

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Semiclassical approximation of path integrals on and near caustics in terms of catastrophes

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A Note on Symmetry of Singularities

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A Second note on Symmetry of Singularities

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Stability of unfoldings

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Stability of unfoldings in space and time

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Q4747249

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Q4192639

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On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane

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Singularities of plane curves which occur as singular sections of the bifurcation sets of the cuspoid catastrophes

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Q4194158

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Finite-amplitude thermal convection in a spherical shell

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Identifiers

zbMATH Open document ID

1194.00017

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DOI

10.1016/0167-2789(81)90012-9

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:995012