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Analyzing Russia–Ukraine War Patterns Based on Lanchester Model Using SINDy Algorithm

Author

Listed:
  • Daewon Chung

    (Department of Mathematics, Keimyung University, Daegu 42601, Republic of Korea)

  • Byeongseon Jeong

    (Department of Mathematics, Keimyung University, Daegu 42601, Republic of Korea)

Abstract

In this paper, we present an effective method for analyzing patterns in the Russia–Ukraine war based on the Lanchester model. Due to the limited availability of information on combat powers of engaging forces, we utilize the loss of armored equipment as the primary data source. To capture the intricate dynamics of modern warfare, we partition the combat loss data into disjoint subsets by examining their geometric properties. Separate systems of ordinary differential equations for these subsets are then identified using the Sparse Identification of Nonlinear Dynamics (SINDy) algorithm under a generalized formulation of the historical Lanchester model. We provide simulations of our method to demonstrate its effectiveness and performance in analyzing contemporary warfare dynamics.

Suggested Citation

  • Daewon Chung & Byeongseon Jeong, 2024. "Analyzing Russia–Ukraine War Patterns Based on Lanchester Model Using SINDy Algorithm," Mathematics, MDPI, vol. 12(6), pages 1-14, March.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:6:p:851-:d:1356953
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    References listed on IDEAS

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