59 citations · 272 across the 21 of their papers we have counts for
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math-ph2012★ 10 cited
Topological field theory of dynamical systems. II
Igor V. Ovchinnikov
This paper is a continuation of the study [Chaos.22.033134] of the relation between the stochastic dynamical systems (DS) and the Witten-type topological field theories (TFT). Here…
math-ph2012★ 5 cited
Topological field theory of dynamical systems
Igor V. Ovchinnikov
Here, it is shown that the path-integral representation of any stochastic or deterministic continuous-time dynamical model is a cohomological or Witten-type topological field theor…
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…