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Bifurcation Revisited Towards Interdisciplinary Applicability

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Intelligent Computing (SAI 2022)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 506))

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Abstract

Bifurcation analysis is a very well established tool in chaos theory and non-linear dynamics. This paper revisits the practical application methods in two computer algebra tools, Matlab and Mathcad. After introducing into the topic and giving applications to those computer algebra tools, these implementations are investigated regarding their possible application above the core fields of chaos theory applications and the possibility to bridge hard and soft sciences with these computational mathematical tools, for striving complex dynamics across disciplinary borders as well as a transplanted or transferred tool use in soft science disciplines.

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Authors and Affiliations

  1. Carinthia University of Applied Sciences, 9524, Villach, Austria

    Bernhard Heiden

  2. University of Graz, 8010, Graz, Austria

    Bernhard Heiden & Bianca Tonino-Heiden

  3. Leibniz University Hannover, 30823, Garbsen, Germany

    Volodymyr Alieksieiev

Authors
  1. Bernhard Heiden
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  2. Bianca Tonino-Heiden
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  3. Volodymyr Alieksieiev
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Correspondence to Bernhard Heiden .

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Editors and Affiliations

  1. Saga University, Saga, Japan

    Kohei Arai

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Heiden, B., Tonino-Heiden, B., Alieksieiev, V. (2022). Bifurcation Revisited Towards Interdisciplinary Applicability. In: Arai, K. (eds) Intelligent Computing. SAI 2022. Lecture Notes in Networks and Systems, vol 506. Springer, Cham. https://doi.org/10.1007/978-3-031-10461-9_9

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