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1. Global Stability Approach

   This chapter introduces the global stability approach and the need for such an approach to study the stability of non-parallel flows. We first...

   Rameshkumar Bhoraniya, Gayathri Swaminathan, Vinod Narayanan in Global Stability Analysis of Shear Flows

   Chapter 2023
   

2. Semi-Global Practical Stability of Random Systems and Its Application

   In this paper, a new stochastic analysis tool on semi-global stability is constructed, for nonlinear systems disturbed by stochastic processes with...

   Cun Yang, Zhao**g Wu, Likang Feng in Journal of Systems Science and Complexity

   Article 12 December 2023

3. Global Stability Analysis of Shear Flows

   This book presents the fundamentals and advanced research on the global stability analysis of the shear flows. The contents investigate the results...

   Rameshkumar Bhoraniya, Gayathri Swaminathan, Vinod Narayanan in Springer Tracts in Mechanical Engineering

   Book 2023
   

4. A positive trend in the stability of global offshore wind energy

   The recognition on the trend of wind energy stability is still extremely rare, although it is closely related to acquisition efficiency, grid...

   Chongwei Zheng in Acta Oceanologica Sinica

   Article 01 January 2024

5. Global Stability to Steady Supersonic Rayleigh Flows in One-Dimensional Duct

   Heat exchange plays an important role in hydrodynamical systems, which is an interesting topic in theory and application. In this paper, the authors...

   Fenglun Wei, Jianli Liu in Chinese Annals of Mathematics, Series B

   Article 01 March 2024

6. Computation of the Evolution of Tollmien–Schlichting Waves Based on Global Stability Analysis

   Abstract

   A computational methodology is presented for calculating the spatial evolution of Tollmien–Schlichting (T–S) waves and their amplitude...

   K. V. Belyaev, A. V. Garbaruk, ... M. Kh. Strelets in Mathematical Models and Computer Simulations

   Article 01 February 2024
   

7. Global Stability of a Cholera Model with a Generalized Treatment Function

   Cholera, a waterborne disease, emerged every year and caused millions of mortalities across the globe. The unavailability of clean drinking water and...

   Sandeep Sharma in Differential Equations and Dynamical Systems

   Article 22 March 2024
   

8. Gromov–Hausdorff stability of global attractors for the 3D Navier–Stokes equations with dam**

   This paper is concerned with the Gromov–Hausdorff stability of global attractors for the 3D Navier–Stokes equations with dam** under variations of...

   Zhengwang Tao, **n-Guang Yang, ... Desheng Li in Zeitschrift für angewandte Mathematik und Physik

   Article 08 December 2023
   

9. Hidden Boundary of Global Stability in a Counterexample to the Kapranov Conjecture on the Pull-In Range

   Abstract

   Within the framework of the development of the theory of hidden oscillations, the problem of determining the boundary of global stability and...

   N. V. Kuznetsov, M. Y. Lobachev, T. N. Mokaev in Doklady Mathematics

   Article 01 August 2023
   

10. Dynamics of simplicial SEIRS epidemic model: global asymptotic stability and neural Lyapunov functions

    The transmission of infectious diseases on a particular network is ubiquitous in the physical world. Here, we investigate the transmission mechanism...

    Yukun Zou, **aoxiao Peng, ... Wei Lin in Journal of Mathematical Biology

    Article 16 June 2024
    

11. Multi-Approach Global Stability Assessment of Soil Nail Walls

    Global stability is one of the prominent failure modes of soil nail walls. It signifies the overall stability and long-term behavior of the soil...

    Vikas Pratap Singh in Earth Retaining Structures and Stability Analysis

    Conference paper 2023
    

12. Global stability of road vehicle motion with driver control

    The paper contributes to unveil how drivers—either human or not—may lose control of road vehicles after a disturbance. First, a simple...

    Gianpiero Mastinu, Fabio Della Rossa, ... Marco Fainello in Nonlinear Dynamics

    Article Open access 05 August 2023
    

13. Global stability of latency-age/stage-structured epidemic models with differential infectivity

    In this paper, we first formulate a system of ODEs–PDE to model diseases with latency-age and differential infectivity. Then, based on the ways how...

    **aogang Liu, Yuming Chen, ... Jianquan Li in Journal of Mathematical Biology

    Article 24 April 2023

14. Global Stability of a Time-delayed Malaria Model with Standard Incidence Rate

    A four-dimensional delay differential equations (DDEs) model of malaria with standard incidence rate is proposed. By utilizing the limiting system of...

    Song-bai Guo, Min He, **g-an Cui in Acta Mathematicae Applicatae Sinica, English Series

    Article 01 March 2023

15. Towards stability results for global radial basis function based quadrature formulas

    Quadrature formulas (QFs) based on radial basis functions (RBFs) have become an essential tool for multivariate numerical integration of scattered...

    Jan Glaubitz, Jonah A. Reeger in BIT Numerical Mathematics

    Article 30 January 2023
    

16. Global existence and stability results for a time-fractional diffusion equation with variable exponents

    This paper aims to study the existence and stability results concerning a fractional partial differential equation with variable exponent source...

    Akilandeeswari Aruchamy, Saranya Rayappan, Annapoorani Natarajan in Arabian Journal of Mathematics

    Article Open access 15 June 2024
    

17. Global Asymptotic Stability of Anti-Periodic Solutions of Time-Delayed Fractional Bam Neural Networks

    In this study, bidirectional fractional-order BAM neural networks with time-varying delays are examined. Time delay is an important phenomenon in the...

    Münevver Tuz in Neural Processing Letters

    Article Open access 30 March 2024
    

18. Global Stability of a Second-Order Affine Switching System

    Abstract

    Stability of an affine switching system is studied. The system comes to existence when stabilizing a chain of two integrators by means of a...

    A. V. Pesterev in Automation and Remote Control

    Article 01 September 2023
    

19. Surprising stability of recent global carbon cycling enables improved fossil fuel emission verification

    The interannual to decadal variability in natural carbon sinks limits the explanation of recent changes in atmospheric CO ₂ concentration. Here we...

    Benjamin Birner, Christian Rödenbeck, ... Ralph F. Keeling in Nature Climate Change

    Article Open access 17 August 2023
    

20. Global Stability of a Fourth-Order Hybrid Affine System

    Abstract

    The hybrid affine system considered in the paper comes to existence when applying an impulse control of special form to the chain of four...

    Yu. V. Morozov, A. V. Pesterev in Journal of Computer and Systems Sciences International

    Article 01 August 2023