Tensor-Centric Warfare IV: Kähler Dynamics of Battlefields
| Autor: | Peyam Pourbeik, Vladimir G. Ivancevic, Darryn J. Reid |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Series (mathematics)
Generalization 020101 civil engineering 02 engineering and technology Symmetry (physics) 0201 civil engineering Algebra Complex dynamics Flow (mathematics) Dynamics (music) Tensor (intrinsic definition) 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Hamiltonian (control theory) |
| Zdroj: | Intelligent Control and Automation. :123-146 |
| ISSN: | 2153-0661 2153-0653 |
| DOI: | 10.4236/ica.2018.94010 |
| Popis: | This paper presents the complex dynamics synthesis of the combat dy-namics series called tensor-centric warfare (TCW; for the first three parts of the series, see [1] [2] [3]), which includes tensor generalization of classical Lanchester-type combat equations, entropic Lie-dragging and commutators for modeling warfare uncertainty and symmetry, and various delta-strikes and missiles (both deterministic and random). The present paper gives a unique synthesis of the Red vs. Blue vectorfields into a single complex battle-vectorfield, using dynamics on Kahler manifolds as a rigorous framework for extending the TCW concept. The global Kahler dynamics framework, with its rigorous underpinning called the Kahler-Ricci flow, provides not only a new insight into the “geometry of warfare”, but also into the “physics of warfare”, in terms of Lagrangian and Hamiltonian structures of the battlefields. It also provides a convenient and efficient computational framework for entropic wargaming. |
| Databáze: | OpenAIRE |
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