A Steering Taxis Model and the Qualitative Analysis of its Trajectories

Ignacio Rano

    Research output: Contribution to journal › Article

    14 Citations (Scopus)

    Abstract

    Taxis is a well-known steering technique used by simple animals to approach a stimulus in the real world. However, no mathematical motion model of taxis can be found in the literature. This article derives the differential ordinary equations describing the motion of a Braitenberg vehicle, a widely used taxis model. A qualitative technique for non-linear dynamical systems analysis is applied to investigate the motion generated by the model. Validation of the analysis is performed through several simulations, and conditions for the stimulus source to be reached are obtained. This work fills the theoretical hole in formal models of Braitenberg vehicles and thereby provides theoretical support for the many previous experimental uses of those vehicles for steering tasks.
    Original languageEnglish
    Pages (from-to)197-211
    JournalAdaptive Behavior
    Volume17
    Issue number3
    DOIs
    Publication statusPublished - 1 Jun 2009

    Fingerprint

    Systems Analysis
    Theoretical Models

    Cite this

    Rano, Ignacio. / A Steering Taxis Model and the Qualitative Analysis of its Trajectories. In: Adaptive Behavior. 2009 ; Vol. 17, No. 3. pp. 197-211.
    @article{b7cde856dd6548a78c903ea3ef1bcb0e,
    title = "A Steering Taxis Model and the Qualitative Analysis of its Trajectories",
    abstract = "Taxis is a well-known steering technique used by simple animals to approach a stimulus in the real world. However, no mathematical motion model of taxis can be found in the literature. This article derives the differential ordinary equations describing the motion of a Braitenberg vehicle, a widely used taxis model. A qualitative technique for non-linear dynamical systems analysis is applied to investigate the motion generated by the model. Validation of the analysis is performed through several simulations, and conditions for the stimulus source to be reached are obtained. This work fills the theoretical hole in formal models of Braitenberg vehicles and thereby provides theoretical support for the many previous experimental uses of those vehicles for steering tasks.",
    author = "Ignacio Rano",
    year = "2009",
    month = "6",
    day = "1",
    doi = "10.1177/1059712309104898",
    language = "English",
    volume = "17",
    pages = "197--211",
    journal = "Adaptive Behavior",
    issn = "1059-7123",
    number = "3",

    }

    Rano, I 2009, 'A Steering Taxis Model and the Qualitative Analysis of its Trajectories', Adaptive Behavior, vol. 17, no. 3, pp. 197-211. https://doi.org/10.1177/1059712309104898

    A Steering Taxis Model and the Qualitative Analysis of its Trajectories. / Rano, Ignacio.

    In: Adaptive Behavior, Vol. 17, No. 3, 01.06.2009, p. 197-211.

    Research output: Contribution to journal › Article

    TY - JOUR

    T1 - A Steering Taxis Model and the Qualitative Analysis of its Trajectories

    AU - Rano, Ignacio

    PY - 2009/6/1

    Y1 - 2009/6/1

    N2 - Taxis is a well-known steering technique used by simple animals to approach a stimulus in the real world. However, no mathematical motion model of taxis can be found in the literature. This article derives the differential ordinary equations describing the motion of a Braitenberg vehicle, a widely used taxis model. A qualitative technique for non-linear dynamical systems analysis is applied to investigate the motion generated by the model. Validation of the analysis is performed through several simulations, and conditions for the stimulus source to be reached are obtained. This work fills the theoretical hole in formal models of Braitenberg vehicles and thereby provides theoretical support for the many previous experimental uses of those vehicles for steering tasks.

    AB - Taxis is a well-known steering technique used by simple animals to approach a stimulus in the real world. However, no mathematical motion model of taxis can be found in the literature. This article derives the differential ordinary equations describing the motion of a Braitenberg vehicle, a widely used taxis model. A qualitative technique for non-linear dynamical systems analysis is applied to investigate the motion generated by the model. Validation of the analysis is performed through several simulations, and conditions for the stimulus source to be reached are obtained. This work fills the theoretical hole in formal models of Braitenberg vehicles and thereby provides theoretical support for the many previous experimental uses of those vehicles for steering tasks.

    U2 - 10.1177/1059712309104898

    DO - 10.1177/1059712309104898

    M3 - Article

    VL - 17

    SP - 197

    EP - 211

    JO - Adaptive Behavior

    JF - Adaptive Behavior

    SN - 1059-7123

    IS - 3

    ER -

    Rano I. A Steering Taxis Model and the Qualitative Analysis of its Trajectories. Adaptive Behavior. 2009 Jun 1;17(3):197-211. https://doi.org/10.1177/1059712309104898

    Access to Document