Bifurcation Gaps in Asymmetric and High-Dimensional Hypercycles

DOI10.1142/S021812741830001XzbMath1386.34074OpenAlexW2793726990WikidataQ130168918 ScholiaQ130168918MaRDI QIDQ4608866

Antoni Guillamon, Josep Sardanyés, Júlia Puig, Gerard Farré, Ernest Fontich

Publication date: 29 March 2018

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

Full work available at URL: https://doi.org/10.1142/s021812741830001x

zbMATH Keywords

periodic orbitsbifurcationscomplex systemshypercyclesorigins of life

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23)

Cites Work

• Bifurcations analysis of oscillating hypercycles
• Scaling law in saddle-node bifurcations for one-dimensional maps: a complex variable approach
• Stable periodic solutions for the hypercycle system
• The information capacity of hypercycles
• Bifurcations and phase transitions in spatially extended two-member hypercycles
• Delayed transitions in non-linear replicator networks: about ghosts and hypercycles
• GHOSTS IN THE ORIGINS OF LIFE?
• General scaling law in the saddle–node bifurcation: a complex phase space study

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