Chaos & pseudochaos: Some basic remarks. (English) Zbl 0797.58058

The author’s abstract: “A basic introduction to the period doubling bifurcation route to chaos is given. The connection between numerical trajectories and true trajectories of a dynamical system, which present chaos, is discussed. The discretization procedure of continuous dynamical systems which model natural phenomena, and the corresponding properties with both systems, continuous and discrete, share, are presented. Finally some comments about the possible appearance of spurious instabilities, pseudochaos, in the discrete model are sketched”.


37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37B99 Topological dynamics
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