Results 71 to 80 of about 9,050,649 (204)
CNS Neuroscience &Therapeutics, Volume 32, Issue 1, January 2026.Our multiomics analysis across three PD cohorts revealed distinct fecal microbiome and plasma metabolome alterations in patients with motor complications (PD‐MC). We identified specific microbial and metabolic biomarkers and uncovered significant correlations between them, providing new insights into PD‐MC pathophysiology. ABSTRACT Background Parkinson'
Shuangjie Qian +11 more
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Singularly perturbed stochastic systems [PDF]
Ukrainian Mathematical Journal, 1997 Summary: Problems of the singular perturbation of reducible invertible operators are classified and their applications to the analysis of stochastic Markov systems represented by random evolutions are considered. The phase merging, averaging, and diffusion approximation schemes are discussed for dynamical systems with rapid Markov switchings.
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Blue Sky Catastrophe in Systems with Non-classical Relaxation Oscillations
Моделирование и анализ информационных систем, 2015 The feasibility of a known blue-sky bifurcation in a class of three-dimensional singularly perturbed systems of ordinary differential equations with one fast and two slow variables is studied.
S. D. Glyzin +2 more
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On transformation to the singularly perturbed system
Journal of Physics: Conference Series, 2011 A rapid progress in hard- and software development of computational facilities as well as in numerical methods has increased the role of numerical simulations in the quantitative system analysis of many engineering problems. At the same time, the system complexity (in terms of dimensionality and non-linearity) has grown considerably increasing demand ...
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MathematicsIn this paper, we investigate the multi-scale dynamics of a singularly perturbed Rosenzweig–MacArthur model with a generalist predator and identify dynamical phenomena, including equilibrium bifurcations, supercritical or subcritical singular Hopf ...
Xiao Wu, Shuaiwen Dan, Feng Xie
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Journal of Applied Mathematics, 2013 This paper presents a novel and general approach, which is based on the composite control method, to synthesize the controller and observer-based state feedback to stabilize the singularly perturbed time-delay systems. First, the equivalent models of the
Juing-Shian Chiou
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Existence of Kink and Antikink Wave Solutions of Singularly Perturbed Modified Gardner Equation
MathematicsIn this paper, the singularly perturbed modified Gardner equation is considered. Firstly, for the unperturbed equation, under certain parameter conditions, we obtain the exact expressions of kink wave solution and antikink wave solution by using the ...
Weifang Yan, Linlin Wang, Min Zhang
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Control of Discrete-Time Singularly Perturbed Systems via Static Output Feedback
Abstract and Applied Analysis, 2013 This paper concentrates on control problems of discrete-time singularly perturbed systems via static output feedback. Two methods of designing an controller, which ensures that the resulting closed-loop system is asymptotically stable and meets a ...
Dan Liu, Lei Liu, Ying Yang
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CONTROLLABILITY OF ESSENTIALLY VARIOUS-SPEED SINGULARLY PERTURBED DYNAMIC SYSTEMS
Наука и техника, 2013 The paper considers the controllability problem of essentially various-speed singularly perturbed dynamic system consisting of three subsystems of different dimensions, containing a small parameter to a variable degree as a multiplier for derivatives ...
T. B. Kopeikina, A. V. Grekova
doaj
Robustness of proper dynamic output feedback for discrete-time singularly perturbed systems
Advances in Difference Equations, 2017 In this paper, the dynamic output feedback control problem of discrete-time singularly perturbed systems is considered based on the reduced-order technique.
Wei Liu, Yanyan Wang
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