Results 21 to 30 of about 25,524 (260)
Isospectral integrability analysis of dynamical systems on discrete manifolds [PDF]
Opuscula Mathematica, 2012 It is shown how functional-analytic gradient-holonomic structures can be used for an isospectral integrability analysis of nonlinear dynamical systems on discrete manifolds. The approach developed is applied to obtain detailed proofs of the integrability
Denis Blackmore +2 more
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Controllability of nonlinear fractional delay dynamical systems with prescribed controls
Nonlinear Analysis, 2018 In this paper, we consider controllability of nonlinear fractional delay dynamical systems with prescribed controls. We firstly give the solution representation of the fractional delay dynamical systems using Laplace transform and Mittag–Leffler ...
Xiao Li Ding, Juan J. Nieto
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Dark Type Dynamical Systems: The Integrability Algorithm and Applications
Algorithms, 2022 Based on a devised gradient-holonomic integrability testing algorithm, we analyze a class of dark type nonlinear dynamical systems on spatially one-dimensional functional manifolds possessing hidden symmetry properties and allowing their linearization on
Yarema A. Prykarpatsky +3 more
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Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator
IEEE Access, 2022 This paper presents a model-free fault detection and isolation (FDI) method for nonlinear dynamical systems using Koopman operator theory and linear geometric technique.
Mohammadhosein Bakhtiaridoust +3 more
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Singular boundary value problems for quasi-differential equations
International Journal of Mathematics and Mathematical Sciences, 1995 Solutions are obtained of boundary value problems for Lny+f(x,L0y,…,Ln−2y), satisfying L2y(0)=Ln−1y(1)=0, 0≤i≤n−2, where Li, denotes the ith quasiderivative, and where f(x,y1,…,yn−1) has singularities at yi=0, 1≤i≤n−1.
Paul W. Eloe, Johnny Henderson
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Advances in Difference Equations, 2020 The paper investigates control and synchronization of fractional-order maps described by the Caputo h-difference operator. At first, two new fractional maps are introduced, i.e., the Two-Dimensional Fractional-order Lorenz Discrete System (2D-FoLDS) and ...
Ibtissem Talbi +6 more
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Nonlinear Dynamics of the Climate System
, 2004 The problem of climate change requires to attribute observed climate variations to natural sources of variability and anthropogenic forcing factors. Climate variability from the decadal over centennial to the millennial time scales and the transitions from glacials to interglacials are determined by strong nonlinear interactions between the changes in ...
Dethloff, K +4 more
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Controllability of nonlinear fractional Langevin delay systems
Nonlinear Analysis, 2019 In this paper, we discuss the controllability of fractional Langevin delay dynamical systems represented by the fractional delay differential equations of order 0
Pitchaikkannu Suresh Kumar +2 more
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Dynamical Jumps in a Shape Memory Alloy Oscillator
Shock and Vibration, 2014 The dynamical response of systems with shape memory alloy (SMA) elements presents a rich behavior due to their intrinsic nonlinear characteristic. SMA’s nonlinear response is associated with both adaptive dissipation related to hysteretic behavior and ...
H. S. Oliveira +2 more
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Observability of Nonlinear Fractional Dynamical Systems
Abstract and Applied Analysis, 2013 We study the observability of linear and nonlinear fractional differential systems of order ...
K. Balachandran +4 more
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