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Periodic and aperiodic regimes in coupled dissipative chemical oscillators

https://doi.org/10.1007/bf01020650

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What this work says

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

inferredcites →https://doi.org/10.1007/978-1-4612-1037-5openalex-snapshot

Geometrical Methods in the Theory of Ordinary Differential Equations

inferredcites →https://doi.org/10.1007/978-1-4612-5767-7openalex-snapshot

The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors

inferredcites →https://doi.org/10.1007/978-1-4684-0147-9openalex-snapshot

Geometrical Methods in the Theory of Ordinary Differential Equations

inferredcites →https://doi.org/10.1007/978-3-642-85957-1openalex-snapshot

Computational Methods in Bifurcation Theory and Dissipative Structures

inferredcites →https://doi.org/10.1007/bf00276957openalex-snapshot

Spontaneous oscillations in two 2-component cells coupled by diffusion

inferredcites →https://doi.org/10.1007/bf00279848openalex-snapshot

Control of mitosis by a continuous biochemical oscillation: Synchronization; spatially inhomogeneous oscillations

inferredcites →https://doi.org/10.1007/bf01020332openalex-snapshot

Quantitative universality for a class of nonlinear transformations

inferredcites →https://doi.org/10.1007/bf01213607openalex-snapshot

Bifurcations from an invariant circle for two-parameter families of maps of the plane: A computer-assisted study

inferredcites →https://doi.org/10.1016/0021-9991(84)90005-6openalex-snapshot

DERPER—an algorithm for the continuation of periodic solutions in ordinary differential equations

inferredcites →https://doi.org/10.1016/0022-0396(82)90085-7openalex-snapshot

Snakes: Oriented families of periodic orbits, their sources, sinks, and continuation

inferredcites →https://doi.org/10.1016/0022-5193(72)90004-5openalex-snapshot

Morphogenesis and chemical dissipative structures

inferredcites →https://doi.org/10.1016/0022-5193(80)90352-5openalex-snapshot

Two coupled neural oscillators as a model of the circadian pacemaker

inferredcites →https://doi.org/10.1016/0375-9601(82)90566-7openalex-snapshot

Transition to chaos via two-torus in coupled reaction-diffusion cells

inferredcites →https://doi.org/10.1016/0375-9601(83)90513-3openalex-snapshot

Transition from quasi-periodicity to chaos in a system of coupled nonlinear oscillators

inferredcites →https://doi.org/10.1016/0375-9601(84)90243-3openalex-snapshot

Metamorphoses of preturbulence

inferredcites →https://doi.org/10.1016/b978-0-12-395611-8.x5001-4openalex-snapshot

Intracellular Transport

inferredcites →https://doi.org/10.1016/b978-0-12-734250-4.50020-5openalex-snapshot

THE NUMERICAL EVALUATION OF HOPF BIFURCATION FORMULAE

inferredcites →https://doi.org/10.1021/ba-1975-0148openalex-snapshot

Chemical Reaction Engineering Reviews

inferredcites →https://doi.org/10.1021/j150660a048openalex-snapshot

Coupling of chemical oscillators

inferredcites →https://doi.org/10.1063/1.1668896openalex-snapshot

Symmetry Breaking Instabilities in Dissipative Systems. II

inferredcites →https://doi.org/10.1063/1.1679748openalex-snapshot

Some further studies of nonlinear oscillations in chemical systems

inferredcites →https://doi.org/10.1063/1.443945openalex-snapshot

Experiments on ‘‘relative stabilities’’ in a chemical system

inferredcites →https://doi.org/10.1103/physrevlett.53.250openalex-snapshot

Bifurcations of a Forced Magnetic Oscillator near Points of Resonance

inferredcites →https://doi.org/10.1115/1.3157655openalex-snapshot

New Approaches to Nonlinear Problems in Dynamics

inferredcites →https://doi.org/10.1137/0138008openalex-snapshot

Algorithm for Evaluation of Complex Bifurcation Points in Ordinary Differential Equations

inferredcites →https://doi.org/10.1145/355666.355675openalex-snapshot

Algorithm 502: Dependence of Solution of Nonlinear Systems on a Parameter [C5]

inferredcites →https://doi.org/10.1175/1520-0469(1963)020<0130:dnf>2.0.co;2openalex-snapshot

Deterministic Nonperiodic Flow

inferredcites →https://doi.org/10.1515/zna-1976-1006openalex-snapshot

Chemical Turbulence: Chaos in a Simple Reaction-Diffusion System

inferredcites →https://doi.org/10.1515/znc-1984-11-1231openalex-snapshot

Impaired Diffusion Coupling-Source of Arrhythmia in Cell Systems

inferredcites →https://doi.org/10.2307/2322694openalex-snapshot

The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors.

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-3-0348-7004-7_49openalex-snapshot

Computation of Hopf Branches Bifurcating from Takens-Bogdanov Points for Problems with Symmetries

inferred← citeshttps://doi.org/10.1007/978-94-009-0659-4_5openalex-snapshot

Eigenvalue Problems with the Symmetry of a Group and Bifurcations

inferred← citeshttps://doi.org/10.1007/s10910-023-01528-xopenalex-snapshot

Hopf bifurcation and periodic solutions in a coupled Brusselator model of chemical reactions

inferred← citeshttps://doi.org/10.1007/s11141-005-0062-1openalex-snapshot

Limit Cycles Arising in a Chain of Inhibitorily Coupled Identical Relaxation Oscillators Near the Self-Oscillation Threshold

inferred← citeshttps://doi.org/10.1016/0009-2509(89)85136-xopenalex-snapshot

Thermal waves in NH3 oxidation on a Pt wire

inferred← citeshttps://doi.org/10.1016/0009-2509(93)80088-8openalex-snapshot

Couple, double, toil and trouble: A computer assisted study of two coupled CSTRs

inferred← citeshttps://doi.org/10.1016/0021-9991(87)90010-6openalex-snapshot

Algorithms for determination of period-doubling bifurcation points in ordinary differential equations

inferred← citeshttps://doi.org/10.1016/0167-2789(91)90170-eopenalex-snapshot

Bifurcations of an optically pumped three-level laser model

inferred← citeshttps://doi.org/10.1016/0378-4754(87)90064-4openalex-snapshot

Determination of invariant tori bifurcation points

inferred← citeshttps://doi.org/10.1016/j.jcp.2007.09.031openalex-snapshot

Spectral element method in time for rapidly actuated systems

inferred← citeshttps://doi.org/10.1016/j.jde.2021.02.006openalex-snapshot

Turing instability of the periodic solutions for reaction-diffusion systems with cross-diffusion and the patch model with cross-diffusion-like coupling

inferred← citeshttps://doi.org/10.1016/s0304-0208(08)71750-xopenalex-snapshot

Continuation of Periodic Solutions in Ordinary Differential Equations with Application to the Hodgkin-Huxley Model

inferred← citeshttps://doi.org/10.1016/s0967-0661(97)00096-8openalex-snapshot

A priori nonlinear model structure selection for system identification

inferred← citeshttps://doi.org/10.1063/1.165819openalex-snapshot

Diffusion-induced instability in chemically reacting systems: Steady-state multiplicity, oscillation, and chaos

inferred← citeshttps://doi.org/10.1103/physreve.54.163openalex-snapshot

Out-of-phase mixed-mode oscillations of two strongly coupled identical relaxation oscillators

inferred← citeshttps://doi.org/10.1103/physreve.54.3361openalex-snapshot

Coupled chaotic chemical oscillators

inferred← citeshttps://doi.org/10.1103/physreve.63.026101openalex-snapshot

Resonant suppression of Turing patterns by periodic illumination

inferred← citeshttps://doi.org/10.1103/physreve.65.046232openalex-snapshot

Multirhythmicity generated by slow variable diffusion in a ring of relaxation oscillators and noise-induced abnormal interspike variability

inferred← citeshttps://doi.org/10.1103/physreve.84.066209openalex-snapshot

Excitatory and inhibitory coupling in a one-dimensional array of Belousov-Zhabotinsky micro-oscillators: Theory

inferred← citeshttps://doi.org/10.1137/0910041openalex-snapshot

Numerical Determination of an Emanating Branch of Hopf Bifurcation Points in a Two-Parameter Problem

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