Bifurcation analysis of the Topp model

DOI10.1007/978-3-030-87502-2_1MaRDI QIDQ6196652

Henk W. Broer, Valery A. Gaiko, A. E. Sterk

Publication date: 15 March 2024

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://pure.rug.nl/ws/files/252287213/978_3_030_87502_2.pdf

zbMATH Keywords

chaoslimit cyclesingular pointperiod doubling bifurcationShilnikov homoclinic orbitdynamics of diabetesreduced planar quartic Topp systemTopp modelHopf-saddle-node bifurcation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical aspects of attractors and their bifurcations (37G35)

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