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[[stochastic differential equation]]s (SDE),
[[Topological quantum field theories|topological field theories]],
and the theory of pseudo-Hermitian operators. It can be seen as an algebraic dual to the traditional set-theoretic framework of the dynamical systems theory, with its added algebraic structure and an inherent [[Supersymmetry#Supersymmetry in dynamical systems|topological supersymmetry]] (TS) enabling the generalization of certain concepts from [[Deterministic system|deterministic]] to [[Stochastic process|stochastic]] models. At the same time, it can be looked upon as a [[Topological quantum field theories|topological field theory]] of stochastic dynamics that reveals
STS seeks to give a rigorous mathematical derivation to several [[Universality class|universal]] phenomena of [[Stochastic process|stochastic dynamical systems]]. It identifies [[Spontaneous symmetry breaking|spontaneous breakdown of TS]], present in all stochastic models, as the stochastic generalization of [[chaos theory|chaos]]. In this view, STS proposes a notion that dynamical chaos is a form of [[Topological order|topological order]] -- a perspective long anticipated by the pioneers of the concept of [[complexity]]. As pointed out in Ref.
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