Results 11 to 20 of about 25,524 (260)
A New Fractional-Order Map with Infinite Number of Equilibria and Its Encryption Application
Complexity, 2022 The study of the chaotic dynamics in fractional-order discrete-time systems has received great attention over the last years. Some efforts have been also devoted to analyze fractional maps with special features.
Ahlem Gasri +6 more
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Inference for nonlinear dynamical systems [PDF]
Proceedings of the National Academy of Sciences, 2006 Nonlinear stochastic dynamical systems are widely used to model systems across the sciences and engineering. Such models are natural to formulate and can be analyzed mathematically and numerically. However, difficulties associated with inference from time-series data about unknown parameters in these models have been a constraint on their application ...
E L, Ionides, C, Bretó, A A, King
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Nonlinear Control of Networked Dynamical Systems
IEEE Transactions on Network Science and Engineering, 2021 We develop a principled mathematical framework for controlling nonlinear, networked dynamical systems. Our method integrates dimensionality reduction, bifurcation theory and emerging model discovery tools to find low-dimensional subspaces where feed-forward control can be used to manipulate a system to a desired outcome.
Megan Morrison, J. Nathan Kutz
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THE SYNTHESIS OF MATHEMATICAL MODELS OF NONLINEAR DYNAMIC SYSTEMS USING VOLTERRA INTEGRAL EQUATION
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2022 The problem of creating mathematical models of nonlinear dynamical systems does not have an unambiguous solution and requires the creation of a separate synthesis method for each such object.
Borys Mokin +4 more
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The decay of mechanical oscillations in piecewise linear system
Lietuvos Matematikos Rinkinys, 2004 The application of the dynamical dampers in the mechanical systems, when the sources of stimulation are impossible to abolish, is one of the ways to fight against the harmful vibrations.
Genovaitė Zaksienė
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Nonlinear dynamics in distributed systems [PDF]
Theoretical and Mathematical Physics, 1994 We build on a previous statistical model for distributed systems and formulate it in a way that the deterministic and stochastic processes within the system are clearly separable. We show how internal fluctuations can be analysed in a systematic way using Van Kanpen's expansion method for Markov processes.
Adjali, I. +2 more
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Controllability of Nonlinear Fractional Dynamical Systems with a Mittag–Leffler Kernel
Mathematics, 2020 This paper is concerned with controllability of nonlinear fractional dynamical systems with a Mittag–Leffler kernel. First, the solution of fractional dynamical systems with a Mittag–Leffler kernel is given by Laplace transform.
Jiale Sheng +3 more
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Supression of mechanical oscillations in a nonlinear systems with restriction
Lietuvos Matematikos Rinkinys, 2023 The application of the dynamical dampers in the mechanical systems, when the sources of stimulation are impossible to abolish, is one of the ways to fight against the harmful vibrations.
Genovaitė Zaksienė
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Time-averaging axion-like interacting scalar fields models
European Physical Journal C: Particles and Fields, 2021 In this paper, we study a cosmological model inspired in the axionic matter with two canonical scalar fields $$\phi _1$$ ϕ 1 and $$\phi _2$$ ϕ 2 interacting through a term added to its potential. Introducing novel dynamical variables, and a dimensionless
Saikat Chakraborty +3 more
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Reachability of Nonlinear Systems With Unknown Dynamics
IEEE Transactions on Automatic Control, 2023 Determining the reachable set for a given nonlinear control system is crucial for system control and planning. However, computing such a set is impossible if the system's dynamics are not fully known. This paper is motivated by a scenario where a system suffers an adverse event mid-operation, resulting in a substantial change to the system's dynamics ...
Taha Shafa, Melkior Ornik
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