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Mathematical modelling in Physics: deterministic processes

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arxiv 2507.08004 v1 pith:OTJN5PZF submitted 2025-06-20 physics.class-ph

classification physics.class-ph
keywords mathematicalmodelsphysicsbasicengineeringmethodsmodelingpresented
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Basic principles of mathematical modeling are reviewed in this book, with the focus on physics and its practical applications, and examples of selected mathematical methods are presented. Most of the models have been imported from physics and applied for scientific and engineering problems. More specifically, the accent is placed on the theory of dynamical systems being used to produce evolutionary models. Classes of different models are presented and the relationship of mathematical modeling to other disciplines is outlined. The aim of the paper is to bridge together mathematical methods and basic ideas proved to be useful in science and engineering.

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  1. Coupling phase interference effects in a multimode cavity magnonics system

    quant-ph 2026-07 conditional novelty 6.0 of 10

    Coupling phases—not just strengths—determine which cavity modes couple to magnons and can produce nonreciprocal transmission at antiresonances in a multimode cavity magnonics system.

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