Complex dynamics of memristive circuits: Analytical results and universal slow relaxation.

@article{Caravelli2017ComplexDO,
  title={Complex dynamics of memristive circuits: Analytical results and universal slow relaxation.},
  author={Francesco Caravelli and Fabio L. Traversa and Massimiliano Di Ventra},
  journal={Physical review. E},
  year={2017},
  volume={95 2-1},
  pages={
          022140
        }
}
Networks with memristive elements (resistors with memory) are being explored for a variety of applications ranging from unconventional computing to models of the brain. However, analytical results that highlight the role of the graph connectivity on the memory dynamics are still few, thus limiting our understanding of these important dynamical systems. In this paper, we derive an exact matrix equation of motion that takes into account all the network constraints of a purely memristive circuit… 

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