Absence of periodic orbits in digital memcomputing machines with solutions.
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DOI: 10.1063/1.5004431
Abstract: In Traversa and Di Ventra [Chaos 27, 023107 (2017)] we argued, without proof, that if the non-linear dynamical systems with memory describing the class of digital memcomputing machines (DMMs) have equilibrium points, then no periodic… read more here.
Keywords: digital memcomputing; memcomputing machines; ventra chaos; periodic orbits ... See more keywords
Directed percolation and numerical stability of simulations of digital memcomputing machines
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DOI: 10.1063/5.0045375
Abstract: Digital memcomputing machines (DMMs) are a novel, non-Turing class of machines designed to solve combinatorial optimization problems. They can be physically realized with continuous-time, non-quantum dynamical systems with memory (time non-locality), whose ordinary differential equations… read more here.
Keywords: digital memcomputing; memcomputing machines; time; percolation numerical ... See more keywords