BIFURCATIONS IN GLASS NETWORKS

DOI10.1142/S0218127405012302zbMath1082.37073WikidataQ57942477 ScholiaQ57942477MaRDI QIDQ5311785

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Publication date: 29 August 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

intermittencyperiod-doublingmultistabilitydiscontinuous vector fieldroutes to chaosborder-collisionpiecewise-linear vector fieldsC-bifurcation

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Applications of dynamical systems (37N99) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (5)

Dynamics of transcription-translation networks ⋮ Geometric properties of a class of piecewise affine biological network models ⋮ A modelling framework for gene regulatory networks including transcription and translation ⋮ Hybrid models of genetic networks: mathematical challenges and biological relevance ⋮ Periodicity in piecewise-linear switching networks with delay

Cites Work

• Unnamed Item
• Dynamics in high-dimensional model gene networks
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The increasingly complex structure of the bifurcation tree of a piecewise-smooth system
• Nonsmooth bifurcations in a piecewise-linear model of the Colpitts oscillator
• Grazing, skipping and sliding: Analysis of the non-smooth dynamics of the DC/DC buck converter
• STEADY STATES, LIMIT CYCLES, AND CHAOS IN MODELS OF COMPLEX BIOLOGICAL NETWORKS
• Border-collision bifurcations in the buck converter
• Periodic solutions in systems of piecewise- linear differential equations

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