Stochastic Description of Dynamical Traps in Human Control
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916641123598336 |
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| author | Lubashevskiy, Vasily Lubashevsky, Ihor Gusein-zade, Namik |
| author_facet | Lubashevskiy, Vasily Lubashevsky, Ihor Gusein-zade, Namik |
| contents | A novel model for dynamical traps in intermittent human control is proposed. It describes probabilistic, step-wise transitions between two modes of a subject's behavior - active and passive phases in controlling an object's dynamics - using an original stochastic differential equation. This equation governs time variations of a special variable, denoted as $ζ$, between two limit values, $ζ=0$ and $ζ=1$. The introduced trap function, $Ω(Δ)$, quantifies the subject's perception of the object's deviation from a desired state, thereby determining the relative priority of the two action modes. Notably, these transitions - referred to as the subject's action points - occur before the trap function reaches its limit values, $Ω(Δ)=0$ or $Ω(Δ)=1$. This characteristic enables the application of the proposed model to describe intermittent human control over real objects. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_01812 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stochastic Description of Dynamical Traps in Human Control Lubashevskiy, Vasily Lubashevsky, Ihor Gusein-zade, Namik Adaptation and Self-Organizing Systems 60G65, 93E03 J.4; J.2 A novel model for dynamical traps in intermittent human control is proposed. It describes probabilistic, step-wise transitions between two modes of a subject's behavior - active and passive phases in controlling an object's dynamics - using an original stochastic differential equation. This equation governs time variations of a special variable, denoted as $ζ$, between two limit values, $ζ=0$ and $ζ=1$. The introduced trap function, $Ω(Δ)$, quantifies the subject's perception of the object's deviation from a desired state, thereby determining the relative priority of the two action modes. Notably, these transitions - referred to as the subject's action points - occur before the trap function reaches its limit values, $Ω(Δ)=0$ or $Ω(Δ)=1$. This characteristic enables the application of the proposed model to describe intermittent human control over real objects. |
| title | Stochastic Description of Dynamical Traps in Human Control |
| topic | Adaptation and Self-Organizing Systems 60G65, 93E03 J.4; J.2 |
| url | https://arxiv.org/abs/2503.01812 |