TOPOLOGICAL COMPLEXITY AND PREDICTABILITY IN THE DYNAMICS OF A TUMOR GROWTH MODEL WITH SHILNIKOV'S CHAOS

DOI10.1142/S0218127413501241zbMath1275.34067MaRDI QIDQ2864950

Josep Sardanyés, Cristina Januário, Carla Rodrigues, Jorge A. Duarte

Publication date: 27 November 2013

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

zbMATH Keywords

chaostopological entropycomplex systemscancerpredictabilitytumor cell dynamics

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Cell biology (92C37) Topological entropy (37B40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Dimension theory of smooth dynamical systems (37C45)

Related Items (6)

Activation of effector immune cells promotes tumor stochastic extinction: a homotopy analysis approach ⋮ The importance of chaotic attractors in modelling tumour growth ⋮ Dynamics of a Mathematical Model of Cancer and Immunoediting Scenarios Under the Variation of the Immune Cell Activation Rate ⋮ A chaotic bursting-spiking transition in a pancreatic beta-cells system: observation of an interior glucose-induced crisis ⋮ Stability analysis of a fractional-order cancer model with chaotic dynamics ⋮ Bifurcations, stability analysis and complex dynamics of Caputo fractal-fractional cancer model

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