Oct 30, 2017 · The logistic map is the most basic recurrence formula exhibiting various levels of chaos depending on its parameter. It has been used in population demographics to model chaotic behavior.
Bifurcation diagram of a logistic map, displaying chaotic behaviour past a threshold. Simple systems can also produce chaos without relying on differential equations. An example is the logistic map, which is a difference equation (recurrence relation) that describes population growth over time.
Indeed nowadays the logistic map is considered a useful and paradigmatic showcase for the route leading to chaos. This volume gathers contributions from some of the leading specialists in the field to...
In this work, an efficient hardware pseudo-random number generator (PRNG) is proposed, where the one-dimensional logistic map is optimised by using the perturbation operation which effectively reduces the degradation of digital chaos. By employing stochastic computing, a hardware PRNG is designed with relatively low hardware utilisation.
1D maps, Logistic map, Period doubling, Chaos, Liapunov exponent, Rössler attractor, Feigenbaum constant, Universality
Chaos Theory and the Logistic Map ¶ In this tutorial, we will see how to implement Geoff Boeing's excellent blog post on Chaos Theory and the Logistic Map using our newly release library, HoloViews. For an example of how this material may be approached using pandas and matplotlib directly please see Geoff's original notebook.
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Home: User Community: Application Center: Mathematics: Chaos Theory: Logistic map Logistic map This worksheet explores the period-doubling bifurcation sequence and their phenomena associated with the discrete logistic map f(x) =a*x*(1-x).
Logistic Map - k 2.827 Logistic Map Stable Equilibrium 1.2 1 0.8 Values Values 0.97 0.082266 0.213433 0.474595 0.704925 0.588032 0.684842 0.610161