COMPUTATION AND VISUALIZATION OF BIFURCATION SURFACES

DOI10.1142/S0218127408021658zbMath1165.34366OpenAlexW2011952775MaRDI QIDQ5322535

Thilo Gross, Ralf Steuer, Ulrike Feudel, Dirk Stiefs

Publication date: 21 July 2009

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

Full work available at URL: https://doi.org/10.1142/s0218127408021658

zbMATH Keywords

visualizationbifurcationcodimensionfood chain modelcalcium oscillationsgeneralized modelssocio-economic model

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Numerical bifurcation problems (65P30) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Detection and computation of high codimension bifurcations in diffuse predator-prey systems ⋮ Maintenance affects the stability of a two-tiered microbial `food chain'? ⋮ Bifurcations and chaos in the MAPK signaling cascade ⋮ Searching bifurcations in high-dimensional parameter space via a feedback loop breaking approach ⋮ Diversity in interaction strength promotes rich dynamical behaviours in a three-species ecological system ⋮ Pattern Formation of Competing Microorganisms in Sediments ⋮ Revealing instabilities in a generalized triadic supply network: A bifurcation analysis ⋮ Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method

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