Qualitative methods in bifurcation theory (Q4189544)

scientific article; zbMATH DE number 3627598

Language	Label	Description	Also known as
English	Qualitative methods in bifurcation theory	scientific article; zbMATH DE number 3627598

Statements

instance of

scholarly article

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title

Qualitative methods in bifurcation theory (English)

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author

Jerrold E. Marsden

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published in

Bulletin of the American Mathematical Society

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publication date

1978

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zbMATH Keywords

Bifurcation Problem

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Blowing Up

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Geometry

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General Relativity

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Elastostatic

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Elliptic Equations

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Dynamical Bifurcations

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MaRDI profile type

MaRDI publication profile

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cites work

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Global Bifurcations of Periodic Orbits

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5.—Qualitative Aspects of the Spatial Deformation of Non-linearly Elastic Rods.

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Shear and necking instabilities in nonlinear elasticity

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Global Behavior of Buckled States of Nonlinearly Elastic Rods

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Alternative problems for nonlinear functional equations

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Dynamics of a system of articulated pipes conveying fluid - I.Theory

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Applications of global analysis to specific nonlinear eigenvalue problems

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On von kármán's equations and the buckling of a thin elastic plate, I the clamped plate

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On Signorini's perturbation method in finite elasticity

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Q4112515

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Applications of generic bifurcation. I

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Applications of generic bifurcation. II

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The Fuller index and global Hopf bifurcation

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Global Hopf bifurcation from a multiple eigenvalue

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Nonlinear problems in the physical sciences and biology. Proceedings of a Battelle Summer Institute, Seattle, July 3-28, 1972

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Bifurcation from multiple complex eigenvalues

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Bifurcation from simple eigenvalues

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Bifurcation, perturbation of simple eigenvalues, and linearized stability

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Bifurcation Theory in Real Banach Space

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Global solution branches for positive mappings

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Dynamic Stability of Equilibrium States of the Extensible Beam

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Q4102815

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Oscillatory integrals, lagrange immersions and unfolding of singularities

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Bifurcation for odd potential operators and an alternative topological index

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Linearization stability of the Einstein equations

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Deformations of the scalar curvature

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Structure of the set of stationary solutions of the navier‐stokes equations

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Q4046802

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An Introduction to Catastrophe Theory and Its Applications

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A theory for imperfect bifurcation via singularity theory

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On differentiable functions with isolated critical points

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Catastrophes and partial differential equations

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Non-linear age-dependent population dynamics

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On the validity of a nonlinear dynamic stability theory

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Q5723366

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The Bifurcation of Solutions in Banach Spaces

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Bifurcation formulae derived from center manifold theory

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Invariant manifolds

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Bifurcations to divergence and flutter in flow-induced oscillations: A finite dimensional analysis

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A nonlinear oscillator with a strange attractor

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Bifurcation theory for Fredholm operators

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Perturbed bifurcation theory at multiple eigenvalues

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Perturbed bifurcation theory

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Iterations, perturbations and multiplicities for nonlinear bifurcation problems

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Stability and semilinear evolution equations in Hilbert space

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On nonuniqueness of solutions of the von Kármán equations

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Nonlinear buckled states of rectangular plates

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Existence and stability of axisymmetric buckled states of spherical shells

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Bifurcation from a Multiple Eigenvalue and Stability of Solutions

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Global bifurcation theorems for noncompact operators

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Loss of stability and bifurcation at a double eigenvalue

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Bifurcation for non-differentiable operators with an application to elasticity

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On the local structure of the zero-set of a Banach space valued mapping

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A Generalization of Multiplicity and the Problem of Bifurcation

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Buckling of cylindrical shells with small curvature

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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

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Singular Perturbations of Bifurcations

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Morse Theory. (AM-51)

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Periodic orbits near an equilibrium and a theorem by Alan Weinstein

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A Hopf Global Bifurcation Theorem for Retarded Functional Differential Equations

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Eigenfunction branches of nonlinear operators, and their bifurcations

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Perturbed bifurcation theory

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Some global results for nonlinear eigenvalue problems

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A bifurcation theorem for potential operators

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Periodic solutions of hamiltonian systems

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Stability of critical points under small perturbations. II: Analytic theory

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Nonlinear dynamic buckling of a compressed elastic column

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Branching of solutions of nonlinear equations

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Bifurcation and stability for a class of shells

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Topics in stability and bifurcation theory

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Non-linear semi-groups

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Small solutions of a non-linear equation in Banach space for a degenerate case

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Bifurcation in the neighbourhood of a non-isolated singular point

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Topology and mechanics. I

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Branching of Solutions of Nonlinear Equations

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Sull'esistenza di soluzioni delle equazioni dell'elastostatica isoterma nel caso di sollecitazioni dotate di assi di equilibrio. I-III

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Some Bifurcation Theory for <i>k</i> -Set Contractions

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Some remarks on the Böhme-Berger bifurcation theorem

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Singularities of vector fields

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Q4121475

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Towards a unified bifurcation theory

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Global bifurcation theory via Galerkin's method

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Almost-Riemannian Structures on Banach Manifolds: The Morse Lemma and the Darboux Theorem

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Fredholm vector fields and a transversality theorem

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A general approach to Morse theory

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Q4023641

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Transversality and cone maps

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Generic Properties of Eigenfunctions

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Generic and nongeneric bifurcation for the von Kármán equations

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On the uniqueness of invariant manifolds

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Generic Deformations of Varieties

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Q4066685

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Stability of unfoldings

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Bifurcations and Hamilton's principle

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Banach Space Bifurcation Theory

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A connection between the Cesari and Leray-Schauder methods

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Structural stability, the theory of catastrophes, and applications in the sciences. Proceedings of the conference, held at Battelle Seattle Research Center 1975

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Identifiers

zbMATH Open document ID

0404.35010

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DOI

10.1090/S0002-9904-1978-14549-2

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4189544