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Time-periodic oscillations in a model for the respiratory process of a bacterial culture

https://doi.org/10.1007/bf00279718
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-06546-6_6openalex-snapshot
Transient and oscillatory states of continuous culture
inferredcites →https://doi.org/10.1007/978-1-4612-6374-6openalex-snapshot
The Hopf Bifurcation and Its Applications
inferredcites →https://doi.org/10.1007/bf00253039openalex-snapshot
Bifurcating time periodic solutions and their stability
inferredcites →https://doi.org/10.1007/bf01320526openalex-snapshot
Non-linear Fokker-Planck equation as an asymptotic representation of the master equation
inferredcites →https://doi.org/10.1007/bf02462209openalex-snapshot
Bifurcation analysis of reaction-diffusion equations—III. Chemical oscillations
inferredcites →https://doi.org/10.1007/bfb0060079openalex-snapshot
Topics in Stability and Bifurcation Theory
inferredcites →https://doi.org/10.1016/0022-5193(69)90003-4openalex-snapshot
Theory of oscillations of respiration rate in continuous culture of Klebsiella aerogenes
inferredcites →https://doi.org/10.1016/0306-4549(78)90109-3openalex-snapshot
Stochastic processes in chemical physics
inferredcites →https://doi.org/10.1016/s0022-5193(75)80025-7openalex-snapshot
Spatial instability in simple reaction schemes
inferredcites →https://doi.org/10.1017/s002190020003535xopenalex-snapshot
Limit theorems for sequences of jump Markov processes approximating ordinary differential processes
inferredcites →https://doi.org/10.1099/00221287-46-2-193openalex-snapshot
The Influence of Dissolved Oxygen Concentration on the Respiration and Glucose Metabolism of Klebsiella aerogenes during Growth
inferredcites →https://doi.org/10.1103/revmodphys.49.581openalex-snapshot
Convective instability: A physicist's approach
inferredcites →https://doi.org/10.1177/058310247600800807openalex-snapshot
Book Reviews : THEORY OF BIFURCATIONS OF DYNAMIC SYSTEMS ON A PLANE A. A. Andronov, E. A. Leontovich, I. I. Gordon, and A. G. Maier J. Wiley & Sons, New York , New York (1973)

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/adts.202401143openalex-snapshot
Role of Noise in the Fairen–Velarde Model of Bacterial Respiration
inferred← citeshttps://doi.org/10.1002/mma.5362openalex-snapshot
On the local and global asymptotic stability of the Degn‐Harrison reaction‐diffusion model
inferred← citeshttps://doi.org/10.1007/s00009-017-0894-xopenalex-snapshot
Some Global Results for the Degn–Harrison System with Diffusion
inferred← citeshttps://doi.org/10.1007/s10255-014-0441-5openalex-snapshot
Bifurcations and chaos of a discrete mathematical model for respiratory process in bacterial culture
inferred← citeshttps://doi.org/10.1007/s12038-021-00249-0openalex-snapshot
Universality in bio-rhythms: A perspective from nonlinear dynamics
inferred← citeshttps://doi.org/10.1007/s12346-025-01247-5openalex-snapshot
Turing Instability of Periodic Solutions for a General Degn–Harrison Model with Cross-Diffusion
inferred← citeshttps://doi.org/10.1016/0034-4877(79)90075-2openalex-snapshot
Dissipative structures in a nonlinear reaction-diffusion model with forward inhibition. stability of secondary multiple steady states
inferred← citeshttps://doi.org/10.1016/j.jde.2012.12.009openalex-snapshot
Spatiotemporal patterns in a reaction–diffusion model with the Degn–Harrison reaction scheme
inferred← citeshttps://doi.org/10.1016/j.jde.2015.03.017openalex-snapshot
Turing patterns in a reaction–diffusion model with the Degn–Harrison reaction scheme
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2016.07.002openalex-snapshot
Hopf bifurcation in a reaction–diffusion model with Degn–Harrison reaction scheme
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2019.01.005openalex-snapshot
Dynamics analysis of a chemical reaction–diffusion model subject to Degn–Harrison reaction scheme
inferred← citeshttps://doi.org/10.1021/jp961573uopenalex-snapshot
Mass Action Law Conjugate Representation for General Chemical Mechanisms
inferred← citeshttps://doi.org/10.1063/1.4826169openalex-snapshot
Chemical oscillator as a generalized Rayleigh oscillator
inferred← citeshttps://doi.org/10.1063/5.0295060openalex-snapshot
Synchronization control in finite time of time span: Applied to Degn-Harrison reaction-diffusion systems
inferred← citeshttps://doi.org/10.1080/17513758.2025.2528680openalex-snapshot
Global dynamics of respiratory process in a class of bacterial culture
inferred← citeshttps://doi.org/10.1103/physreve.48.1646openalex-snapshot
Stationary probability distribution near stable limit cycles far from Hopf bifurcation points
inferred← citeshttps://doi.org/10.1109/access.2020.2993784openalex-snapshot
Synchronization Methods for the Degn-Harrison Reaction-Diffusion Systems
inferred← citeshttps://doi.org/10.1137/s0036139994277701openalex-snapshot
Stochastic Models with Multistability and Extinction Levels
inferred← citeshttps://doi.org/10.1142/s0129183124500943openalex-snapshot
Existence of two distinct time scales in the Fairen–Velarde model of bacterial respiration
inferred← citeshttps://doi.org/10.31274/rtd-180813-12284openalex-snapshot
Practical feedback stabilization of nonlinear control systems and applications
inferred← citeshttps://doi.org/10.3390/computation12070144openalex-snapshot
Fractional-Order Degn–Harrison Reaction–Diffusion Model: Finite-Time Dynamics of Stability and Synchronization
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