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Prediction of limit cycles in mathematical models of biological oscillations
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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The qualitative dynamics of a class of biochemical control circuits
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Numerical solution of bifurcation problems for ordinary differential equations
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Existence of periodic solutions for negative feedback cellular control systems
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An applicable Hopf bifurcation formula and instability of small periodic solutions of the field-Noyes model
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Metabolic stability and epigenesis in randomly constructed genetic nets
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The occurrence and the significance of limit cycle behavior in controlled biochemical systems
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Co-operative components, spatial localization and oscillatory cellular dynamics
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The logical analysis of continuous, non-linear biochemical control networks
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Boolean formalization of genetic control circuits
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Oscillatory phenomena for the Glass-Kauffman model of cellular dynamics
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AUTOMATA THEORY IN THE CONTEXT OF THEORETICAL NEUROPHYSIOLOGY
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Classification of biological networks by their qualitative dynamics
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Differential Equations, Dynamical Systems, and Linear Algebra
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Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction
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Combinatorial and topological methods in nonlinear chemical kinetics
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An oscillatory neuronal circuit generating a locomotory rhythm.
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The Existence of Oscillatory Solutions in the Field–Noyes Model for the Belousov–Zhabotinskii Reaction
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On the uniqueness and global asymptotic stability of periodic solutions for a third order system
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Parkinsonian Tremor and Simplification in Network Dynamics
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Qualitative Modeling, Analysis and Control of Synthetic Regulatory Circuits
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Time-optimal control of piecewise affine bistable gene-regulatory networks: preliminary results
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