Chaos, coexistence of attractors and fractal basin boundaries of attraction in a model system coupling activation and inhibition in parallel

DOI10.1080/02681119508806198zbMath0840.34060OpenAlexW1981975120MaRDI QIDQ4851029

Roberto Viola, Junli Liu, John W. Crawford

Publication date: 9 July 1996

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119508806198

zbMATH Keywords

chaosregulationfeedbackchaotic attractorsperiod doublingperiodic windowsmodels for chemical and biological processes

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Attractors of solutions to ordinary differential equations (34D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (4)

The consequences of interactive noise for understanding the dynamics of complex biochemical systems ⋮ SUFFICIENT CONDITIONS FOR COORDINATION OF A FORCED BIOCHEMICAL SYSTEM WITH THE INTERPLAY OF ACTIVATION AND INHIBITION ⋮ Collapse of single stable states via a fractal attraction basin: analysis of a representative metabolic network ⋮ Numerical solution of an autocatalytic bio-chemical system

Cites Work

• Fractal control boundaries of driven oscillators and their relevance to safe engineering design
• Ship stability criteria based on chaotic transients from incursive fractals
• Birhythmicity, chaos, and other patterns of temporal self-organization in a multiply regulated biochemical system.
• Multistability, oscillations and chaos in an exothermic branched-chain reaction model

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