Dissipative maps at the chaos threshold: numerical results for the single-site map. (English) Zbl 1098.37542
Summary: We numerically study, at the edge of chaos, the behaviour of the single-site map \(x_{t+1}=x_t-x_t/(x^2_t+\gamma^2)\), where \(\gamma\) is the map parameter.
MSC:
| 37N20 | Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) |
| 82C05 | Classical dynamic and nonequilibrium statistical mechanics (general) |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
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