Poisson stable motions of monotone and strongly sub-linear non-autonomous dynamical systems
Discrete and Continuous Dynamical Systems, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
David Cheban
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Self-oscillating systems with controlled phase of external force [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2023 The purpose of this work is to study self-oscillatory systems under adaptive external action. This refers to the situation when the phase of the external action additionally depends on the dynamical variable of the oscillator.
Krylosova, Darina Andreevna +3 more
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Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation [PDF]
, 2009 In this paper, we consider a non-autonomous stochastic Lotka-Volterra competitive system dxi(t) = xi(t)[(bi(t)¡ nPj=1aij (t)xj (t))dt+¾i(t)dBi(t)], where Bi(t) (i = 1; 2; ¢ ¢ ¢ ; n) are independent standard Brownian motions. Some dynamical properties are
Key Laboratory for Applied Statistics of MOE (KLAS) (Funder) +4 more
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The Deterministic Nature of Sensor-Based Information for Condition Monitoring of the Cutting Process
Machines, 2021 Condition monitoring of the cutting process is a core function of autonomous machining and its success strongly relies on sensed data. Despite the enormous amount of research conducted so far into condition monitoring of the cutting process, there are ...
Rui Silva, António Araújo
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On Lyapunov Exponents for RNNs: Understanding Information Propagation Using Dynamical Systems Tools
Frontiers in Applied Mathematics and Statistics, 2022 Recurrent neural networks (RNNs) have been successfully applied to a variety of problems involving sequential data, but their optimization is sensitive to parameter initialization, architecture, and optimizer hyperparameters.
Ryan Vogt +6 more
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Mathematics, 2023 One of the practical methods for examining the stability and dynamical behaviour of non-linear systems is weakly non-linear stability analysis. Time-varying gravitational acceleration and triple-diffusive convection play a significant role in the ...
Pervinder Singh +4 more
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Determining the domain of attraction of hybrid non–linear systems using maximal Lyapunov functions [PDF]
, 2010 summary:In this article a method is presented to find systematically the domain of attraction (DOA) of hybrid non-linear systems. It has already been shown that there exists a sequence of special kind of Lyapunov functions $V_n$ in a rational functional ...
Hangos, Katalin M. +3 more
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Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]
, 2009 This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A. +3 more
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Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation [PDF]
, 2011 The Chafee-Infante equation is one of the canonical infinite-dimensional dynamical systems for which a complete description of the global attractor is available.
Carvalho, A. N. +8 more
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A dynamical systems approach to micro spacecraft autonomy [PDF]
, 2010 The drive toward reducing the size and mass of spacecraft has put new constraints on the computational resources available for control and decision making algorithms.
McInnes, Colin, Brown, Blair
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