Homoclinic tangencies in an autocatalytic model of interfacial processes at the bone surface
type: Item
instance of: scholarly article
title: Homoclinic tangencies in an autocatalytic model of interfacial processes at the bone surface
zbMATH Open document ID: 0783.92012
DOI: 10.1016/0167-2789(93)90287-B
published in: Physica D
publication date: 1994-03-14T00:00:00Z
Mathematics Subject Classification ID: 92C30
Mathematics Subject Classification ID: 37N99
zbMATH DE Number: 493518
zbMATH Keywords: periodic-chaotic sequences
zbMATH Keywords: three-variable autocatalytic model
zbMATH Keywords: calcium dynamics
zbMATH Keywords: liquid/solid bone interface
zbMATH Keywords: homoclinic tangency
zbMATH Keywords: periodic orbit
zbMATH Keywords: first return map
zbMATH Keywords: piecewise linear one-dimensional map
zbMATH Keywords: fractal bifurcation structure
zbMATH Keywords: Smale horseshoe
zbMATH Keywords: electrodissolution
author: P. Tracqui
MaRDI profile type: Publication
cites work: Q4058507
cites work: Singularities and groups in bifurcation theory. Volume I
cites work: Theoretical study of a two-dimensional autocatalytic model for calcium dynamics at the extracellular fluid-bone interface
cites work: Analysis of degenerate hopf bifurcations for a nonlinear model of calcium metabolism
cites work: Local and global behavior near homoclinic orbits
cites work: Bifurcation phenomena near homoclinic systems: A two-parameter analysis
cites work: ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. I
cites work: ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. II
cites work: Homoclinic orbits in the dynamics of articulated pipes conveying fluid
cites work: Bifurcations of one- and two-dimensional maps
cites work: Birhythmicity, chaos, and other patterns of temporal self-organization in a multiply regulated biochemical system.
full work available at URL: 0167-2789(93)90287-b
OpenAlex ID: W2057427703
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description: scientific article; zbMATH DE number 493518