Symmetries and reductions of order for certain nonlinear third and second-order differential equations with arbitrary nonlinearity [PDF]
arXiv, 2015 We examine the reductions of the order of certain third- and second-order nonlinear equations with arbitrary nonlinearity through their symmetries and some appropriate transformations. We use the folding transformation which enables one to change from a nonlinearity with an arbitrary exponent to a nonlinearity with a specific numerical exponent.
arxiv
Complex Valued Deep Neural Networks for Nonlinear System Modeling. [PDF]
Neural Process Lett, 2022 Lopez-Pacheco M, Yu W.
europepmc +1 more source
Nonlinear System Identification of Neural Systems from Neurophysiological Signals. [PDF]
Neuroscience, 2021 He F, Yang Y.
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Известия Иркутского государственного университета: Серия "Математика", 2019 This study is concerned with a system of two nonlinear first order partial differential equations. The right-hand sides of the system contain the squares of the gradients of the unknown functions.
A.A. Kosov +2 more
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Design Method of High-Order Kalman Filter for Strong Nonlinear System Based on Kronecker Product Transform. [PDF]
Sensors (Basel), 2022 Liu X, Wen C, Sun X.
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Nonlinear Modal Decoupling of Multi-Oscillator Systems with Applications to Power Systems [PDF]
arXiv, 2016 Many natural and manmade dynamical systems that are modeled as large nonlinear multi-oscillator systems like power systems are hard to analyze. For such a system, we propose a nonlinear modal decoupling (NMD) approach inversely constructing as many decoupled nonlinear oscillators as the system oscillation modes so that individual decoupled oscillators ...
arxiv
Orthogonal Simplex Chebyshev-Laguerre Cubature Kalman Filter Applied in Nonlinear Estimation Systems
Applied Sciences, 2018 To further improve the filtering accuracy in nonlinear estimation systems, a nonlinear filter, called the orthogonal simplex Chebyshev-Laguerre cubature Kalman filter (OSCL-CKF), is proposed.
Zhuowei Liu +3 more
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Topological-to-Topological Transition Induced by On-Site Nonlinearity in a One-Dimensional Topological Insulator [PDF]
arXivRecent studies have extended the notion of band topology to nonlinear systems by defining nonlinear counterparts of eigenvalue problems. They have found the nonlinearity-induced topological transition, while it has required complicated nonlinearity such as off-diagonal one.
arxiv
On Differential Geometric Approach to Nonlinear Systems Affine in Control [PDF]
arXiv, 2017 The note focuses on the differential geometric approach to the study of nonlinear systems that are affine in control. We first develop normal forms for nonlinear system affine in control. Based on these normal forms, we then address the problems of global stabilization, semi-global stabilization and disturbance attenuation.
arxiv
Adaptive federated filter for multi-sensor nonlinear system with cross-correlated noises. [PDF]
PLoS One, 2021 Wang L, Wang S, Yang W.
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