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nlin.CD2017★ 24 cited
Chaos or Order?
Igor V. Ovchinnikov, Massimiliano Di Ventra
What is chaos? Despite several decades of research on this ubiquitous and fundamental phenomenon there is yet no agreed-upon answer to this question. Recently, it was realized that…
nlin.CD2016★ 3 cited
Supersymmetric Theory of Stochastic ABC Model: A Numerical Study
Igor V. Ovchinnikov, Yuquan Sun, Torsten A. Ensslin +1
In this paper, we investigate numerically the stochastic ABC model, a toy model in the theory of astrophysical kinematic dynamos, within the recently proposed supersymmetric theory…
nlin.CD2012
Topological Supersymmetry Breaking as the Origin of the Butterfly Effect
Igor V. Ovchinnikov
Previously, there existed no clear explanation why chaotic dynamics is always accompanied by the infinitely long memory of perturbations (and/or initial conditions) known as the bu…