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  1. Nonlinear Dynamic Modeling of a Gear-Bearing Transmission System

    Mar 12, 2025 · The nonlinear contact force between gears and bearings exhibits intricate dynamics. This paper focuses on the coupling relationship between the time-varying meshing parameters of the …

  2. Nonlinear Dynamics and Applications - MDPI

    Jun 11, 2025 · Nonlinear dynamics is the study of dynamical systems in finite dimensions, whether in discrete or continuous time, in which the evolution equation (a difference or differential equation, …

  3. Advances in Nonlinear Dynamics: Methods and Applications

    Mar 4, 2022 · In this paper, we investigate the constrained optimal control problem of nonlinear multi-input safety-critical systems with uncertain disturbances and time-varying safety constraints.

  4. Incremental Nonlinear Dynamics Inversion Control with Nonlinear

    Nov 18, 2024 · A flight controller formulation based on incremental nonlinear dynamics inversion (INDI) control with nonlinear disturbance observer (NDO) is proposed.

  5. Visual Analysis of Nonlinear Dynamical Systems: Chaos, Fractals, Self ...

    Nov 13, 2016 · Second, it uses these visualizations to introduce the foundations of nonlinear dynamics, chaos, fractals, self-similarity and the limits of prediction. Finally, it presents Pynamical, an open …

  6. Physics-Informed Neural Networks for Higher-Order Nonlinear ... - MDPI

    Jun 4, 2025 · This review summarizes the application of physics-informed neural networks (PINNs) for solving higher-order nonlinear partial differential equations belonging to the nonlinear Schrödinger …

  7. New Advances in Nonlinear Dynamics Theory and Applications

    The purpose of this Special Issue is to promote the development and application of nonlinear dynamics theory in fields such as mathematics, physics, computer science, information technology, …

  8. Mathematics | Special Issue : Nonlinear Dynamics and Chaos Theory

    Dec 31, 2023 · Special Issue Information Dear Colleagues, Nonlinear dynamics and chaos theory plays an ever-important role in the exploration of science and technology. It aims to study the mechanisms …

  9. Nonlinear Dynamics - MDPI

    Jul 30, 2022 · In the work “Nonlinear Dynamics and Control of a Cube Robot” [6], Liao et al. model and design a cube robot capable of self-bouncing and self-balancing. Firstly, the dynamic model of the …

  10. Symmetry in Nonlinear Dynamics and Chaos II - MDPI

    May 28, 2025 · Nonlinear dynamics and chaos are vibrant fields of physics that have enhanced our understanding of various phenomena. This Special Issue reviews recent advancements in nonlinear …