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The circle map exhibits a type of universality similar to the logistic map (and in fact behavior of periodic orbits of the logistic map can be seen in the circle map).Circle Map - from Wolfram MathWorld
4 days ago · The circle map is a one-dimensional map which maps a circle onto itself theta_ (n+1)=theta_n+Omega-K/ (2pi)sin (2pitheta_n), (1) where theta_ (n+1) is computed mod 1 and K is a constant.
Unimodal maps on the unit interval are among the most studied dynamical systems. Perhaps the two most frequently mentioned are the logistic map and the tent map. These two share many …
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Sine map explorations (Taylor and beyond) — …
Explore the sine map and its fixed points # Start with a simple plot of the sine function for 0.1 ≤ r ≤ 0.9.
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Sine Map - UCSC
Here we consist a map which is similar to the logistic map, but the mathematical function is different. Rather than f(x) = 4 l x (1 - x) we take. We plot the function for l = 1. x . FindRoot@x …
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The circle map is the simplest it-erative generator for sustained periodic and chaotic sounds and is easy to interpret as a basic sine oscillator with a non-linear perturbation.
Bifurcation diagram of the Sine-Circle Map
The primary aim of this study was to contribute to the field through extensive literature research and the proposal of a two-stage encryption algorithm that combines the logistic map with AES-128.
The sine-circle map is a paradigmatic one-dimensional map, widely used to describe the dynamics of a single os-cillator of natural frequency coupled to another oscillator of frequency …
The specific model under study, is a 1-dimensional coupled map lattice of sine-circle maps with nearest neigh-bour diffusive symmetric normalized coupling (also called future coupled …
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