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Rigorous verification of saddle-node bifurcations in ODEs (Q307743)

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scientific article; zbMATH DE number 6623248

Language	Label	Description	Also known as
English	Rigorous verification of saddle-node bifurcations in ODEs	scientific article; zbMATH DE number 6623248

Statements

scholarly article

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Rigorous verification of saddle-node bifurcations in ODEs (English)

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Jean-Philippe Lessard

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Indagationes Mathematicae. New Series

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publication date

5 September 2016

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zbMATH Keywords

saddle-node bifurcation

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rigorously verified numerics

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contraction mapping theorem

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Hodgkin-Huxley model

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describes a project that uses

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.indag.2016.06.012

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Iterative improvement of componentwise error bounds of invariant subspaces belonging to a double or nearly double eigenvalue

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Computer-assisted methods for the study of stationary solutions in dissipative systems, applied to the Kuramoto-Sivashinski equation

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A method to rigorously enclose eigendecompositions of interval matrices

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Validated Continuation for Equilibria of PDEs

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Numerical methods in bifurcation problems. Lectures delivered at the Indian Institute of Science, Bangalore, under the T.I.F.R.-I.I.Sc. Programme in Applications of Mathematics. Notes by A. K. Nandakumaran and Mythily Ramaswamy

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Rigorous verification of cocoon bifurcations in the Michelson system

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Rigorous Verification of Bifurcations of Differential Equations via the Conley Index Theory

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Numerical method for verifying the existence and local uniqueness of a double turning point for a radially symmetric solution of the perturbed Gelfand equation

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Computational error bounds for multiple or nearly multiple eigenvalues

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On eigenvector bounds

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On necessary and sufficient conditions for numerical verification of double turning points

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Period doubling in the Rössler system -- a computer assisted proof

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A Numerical Verification Method for Solutions of Boundary Value Problems with Local Uniqueness by Banach's Fixed-Point Theorem

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Steady state bifurcations for the Kuramoto-Sivashinsky equation: a computer assisted proof

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.INDAG.2016.06.012

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Sitelinks

Mathematics(1 entry)

mardi Publication:307743

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