Tootfinder

Harnessing the edge of chaos for combinatorial optimization
Hayato Goto, Ryo Hidaka, Kosuke Tatsumura
https://arxiv.org/abs/2508.17655 https://arxiv.org/pd…

Harnessing the edge of chaos for combinatorial optimization
Nonlinear dynamical systems with continuous variables can be used for solving combinatorial optimization problems with discrete variables.In particular, numerical simulations of them can be used as heuristic algorithms with a desirable property, namely, parallelizability, which allows us to execute them in a massively parallel manner using cutting-edge many-core processors, leading to ultrafast performance. However, the dynamical-system approaches with continuous variables are usually less accu…

Central Limit Behavior at the Edge of Chaos in the z-Logistic Map
Abbas Ali Saberi, Ugur Tirnakli, Constantino Tsallis
https://arxiv.org/abs/2508.13170 https://

Central Limit Behavior at the Edge of Chaos in the z-Logistic Map
We focus on the FeigenbaumCoulletTresser point of the dissipative one-dimensional z logistic map. We show that sums of iterates converge to q Gaussian distributions, which optimize the nonadditive entropic functional Sq under simple constraints. We derive a closedform prediction for the entropic index, and validate it numerically via data collapse for typical z values. The formula captures how the limiting law depends on the nonlinearity order and implies finite variance for z larger than 2 and…

Crosslisted article(s) found for nlin.CD. https://arxiv.org/list/nlin.CD/new
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- Central Limit Behavior at the Edge of Chaos in the z-Logistic Map
Abbas Ali Saberi, Ugur Tirnakli, Constantino Tsallis