Bifurcation and chaotic behavior in the Euler method for a Uçar prototype delay model. (English) Zbl 1061.37022

Summary: A discrete model with a simple cubic nonlinearity term for the symmetric coupling of three fixed-points (one unstable) is treated in the study of bifurcations and chaotic behavior of a prototype delayed dynamical system under discretization. Effective computation of Hopf bifurcations, stable limit cycles (periodic solutions), symmetrical breaking bifurcations and chaotic behavior in nonlinear delayed equations are proposed.


37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37G15 Bifurcations of limit cycles and periodic orbits in dynamical systems
34K23 Complex (chaotic) behavior of solutions to functional-differential equations
39A12 Discrete version of topics in analysis


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