8 citations · 11 across the 5 of their papers we have counts for
5 papers
Topological Field Theory and Stochastic Dynamics
Igor V. Ovchinnikov
In the late 1980s, Baulieu and Grossman demonstrated that the supersymmetric formulation of Langevin stochastic differential equations (SDEs), proposed earlier by Parisi and Sourla…
The Supersymmetric Origin of Chaos and its Hidden Topological Order
Igor V. Ovchinnikov, Massimiliano Di Ventra
Dynamical chaos is a term that encompasses a wide range of nonlinear phenomena such as turbulence, neuronal avalanches, weather patterns, and many others. However, despite much wor…
Chaos, Ito-Stratonovich dilemma, and topological supersymmetry
Igor V. Ovchinnikov
It was recently established that the formalism of the generalized transfer operator (GTO) of dynamical systems (DS) theory, applied to stochastic differential equations (SDEs) of a…
On the Topological Nature of the Butterfly Effect
Igor V. Ovchinnikov
Non-integrability in the sense of dynamical systems, also known as dynamical chaos, is a strongly nonlinear qualitative phenomenon. Its most promising theoretical descriptions are…
Ubiquitous order known as chaos
Igor V. Ovchinnikov
A close relation has recently emerged between two of the most fundamental concepts in physics and mathematics: chaos and supersymmetry. In striking contrast to the semantics of the…