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Relevant bibliographies by topics / Non-smooth nonlinearity

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Academic literature on the topic 'Non-smooth nonlinearity'

Author: Grafiati

Published: 14 March 2023

Last updated: 31 July 2025

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Journal articles on the topic "Non-smooth nonlinearity"

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Meleshenko, Peter A., Mikhail E. Semenov, and Alexander F. Klinskikh. "Conservative chaos in a simple oscillatory system with non-smooth nonlinearity." Nonlinear Dynamics 101, no. 4 (2020): 2523–40. http://dx.doi.org/10.1007/s11071-020-05956-1.

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Manikandan, Kannan, Nurzhan Serikbayev, Shunmuganathan P. Vijayasree, and Devarasu Aravinthan. "Controlling Matter-Wave Smooth Positons in Bose–Einstein Condensates." Symmetry 15, no. 8 (2023): 1585. http://dx.doi.org/10.3390/sym15081585.

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In this investigation, we explore the existence and intriguing features of matter-wave smooth positons in a non-autonomous one-dimensional Bose–Einstein condensate (BEC) system with attractive interatomic interactions. We focus on the Gross–Pitaevskii (GP) equation/nonlinear Schrödinger-type equation with time-modulated nonlinearity and trap potential, which govern nonlinear wave propagation in the BEC. Our approach involves constructing second- and third-order matter-wave smooth positons using a similarity transformation technique. We also identify the constraints on the time-modulated system

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Nhu, Vu Huu. "Levenberg–Marquardt method for ill-posed inverse problems with possibly non-smooth forward mappings between Banach spaces." Inverse Problems 38, no. 1 (2021): 015007. http://dx.doi.org/10.1088/1361-6420/ac38b7.

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Abstract In this paper, we consider a Levenberg–Marquardt method with general regularization terms that are uniformly convex on bounded sets to solve the ill-posed inverse problems in Banach spaces, where the forward mapping might not Gâteaux differentiable and the image space is unnecessarily reflexive. The method therefore extends the one proposed by Jin and Yang in (2016 Numer. Math. 133 655–684) for smooth inverse problem setting with globally uniformly convex regularization terms. We prove a novel convergence analysis of the proposed method under some standing assumptions, in particular,

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Cunha, Gabriel Neves, Francesca Faraci, and Kaye Silva. "Three Weak Solutions for a Critical Non-Local Problem with Strong Singularity in High Dimension." Mathematics 12, no. 18 (2024): 2910. http://dx.doi.org/10.3390/math12182910.

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In this paper, we deal with a strongly singular problem involving a non-local operator, a critical nonlinearity, and a subcritical perturbation. We apply techniques from non-smooth analysis to the energy functional, in combination with the study of the topological properties of the sublevels of its smooth part, to prove the existence of three weak solutions: two points of local minimum and a third one as a mountain pass critical point.

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Lisitano, D., S. Jiffri, E. Bonisoli, and J. E. Mottershead. "Experimental feedback linearisation of a vibrating system with a non-smooth nonlinearity." Journal of Sound and Vibration 416 (March 2018): 192–212. http://dx.doi.org/10.1016/j.jsv.2017.11.047.

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Yurkevich, Valery D. "Controller Design in Presence of Non-Smooth Nonlinearity: A Flight Control Example." IFAC Proceedings Volumes 37, no. 6 (2004): 487–92. http://dx.doi.org/10.1016/s1474-6670(17)32222-x.

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Meyer, J. C., and D. J. Needham. "Aspects of Hadamard well-posedness for classes of non-Lipschitz semilinear parabolic partial differential equations." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 146, no. 4 (2016): 777–832. http://dx.doi.org/10.1017/s0308210515000712.

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We study classical solutions of the Cauchy problem for a class of non-Lipschitz semilinear parabolic partial differential equations in one spatial dimension with sufficiently smooth initial data. When the nonlinearity is Lipschitz continuous, results concerning existence, uniqueness and continuous dependence on initial data are well established (see, for example, the texts of Friedman and Smoller and, in the context of the present paper, see also Meyer), as are the associated results concerning Hadamard well-posedness. We consider the situations when the nonlinearity is Hölder continuous and w

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El Mehdi, Khalil, and Fatimetou Mohamed Salem. "Interior Bubbling Solutions for an Elliptic Equation with Slightly Subcritical Nonlinearity." Mathematics 11, no. 6 (2023): 1471. http://dx.doi.org/10.3390/math11061471.

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In this paper, we considered the Neumann elliptic equation (Pε): −Δu+K(x)u=u(n+2)/(n−2)−ε, u>0 in Ω, ∂u/∂ν=0 on ∂Ω, where Ω is a smooth bounded domain in Rn, n≥6, ε is a small positive real and K is a smooth positive function on Ω¯. Using refined asymptotic estimates of the gradient of the associated Euler–Lagrange functional, we constructed simple and non-simple interior bubbling solutions of (Pε) which allowed us to prove multiplicity results for (Pε) provided that ε is small. The existence of non-simple interior bubbling solutions is a new phenomenon for the positive solutions of subcrit

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Hingyi, B., and J. Karátson. "Detection of dead cores for reaction-diffusion equations with a non-smooth nonlinearity." Applied Numerical Mathematics 177 (July 2022): 111–22. http://dx.doi.org/10.1016/j.apnum.2022.03.003.

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Takahashi, Futoshi. "Non-degeneracy of least-energy solutions for an elliptic problem with nearly critical nonlinearity." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 140, no. 1 (2010): 203–22. http://dx.doi.org/10.1017/s0308210509000419.

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We consider the problem −Δu = c0K(x)upε, u > 0 in Ω, u = 0 on δΩ, where Ω is a smooth, bounded domain in ℝN, N ≥ 3, c0 = N(N − 2), pε = (N + 2)/(N − 2) − ε and K is a smooth, positive function on . We prove that least-energy solutions of the above problem are non-degenerate for small ε > 0 under some assumptions on the coefficient function K. This is a generalization of the recent result by Grossi for K ≡ 1, and needs precise estimates and a new argument.

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Dissertations / Theses on the topic "Non-smooth nonlinearity"

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LISITANO, DOMENICO. "Spatial damping identification and control of mechanical systems." Doctoral thesis, Politecnico di Torino, 2019. http://hdl.handle.net/11583/2734827.

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Book chapters on the topic "Non-smooth nonlinearity"

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Jiffri, Shakir, and John E. Mottershead. "Nonlinear Control of an Aeroelastic System with a Non-smooth Structural Nonlinearity." In Mechanisms and Machine Science. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09918-7_28.

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Conference papers on the topic "Non-smooth nonlinearity"

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Jiang, Xiaoai, and Alexander F. Vakakis. "Steady-State Dynamics of Smooth and Non-Smooth Systems With Strong Nonlinearities." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48587.

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The nonlinear energy sinks (NESs) with strong essential stiffness nonlinearities have been shown to result in vibration isolation in the studied system. In comparison, we also studied the steady-state dynamic response of a system with its smooth high-order odd nonlinearity replaced with the best fitted nonsmooth “clearance nonlinearity”. The analysis was based on the complexification technique and the separation of the dynamic terms into the “slow-varying” and the “fast-varying” components. We found that the steady-state behavior of a system with the non-smooth NES resembles that of the system

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Zentner, Irmela, and Fabrice Poirion. "Non-Smooth Modeling of Control Surfaces Featuring a Freeplay Nonlinearity in Aeroelasticity." In 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. American Institute of Aeronautics and Astronautics, 2007. http://dx.doi.org/10.2514/6.2007-2107.

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Chen, C. H., and S. D. Fassois. "On the estimation of stochastic Wiener-Hammerstein type systems with non-smooth nonlinearity." In Proceedings of 16th American CONTROL Conference. IEEE, 1997. http://dx.doi.org/10.1109/acc.1997.610751.

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Tan, Yonghong, and Xinhua Lei. "Identification of Dynamic Model with Non-smooth Nonlinearity for Macro-moving Stage in Ultra-precision Positioning System." In 2006 Chinese Control Conference. IEEE, 2006. http://dx.doi.org/10.1109/chicc.2006.280593.

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Kim, Jihwan, and T. D. Burton. "Reduction of Structural Dynamics Models Having Nonlinear Damping." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48435.

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The purpose of this work has been to explore the suitability of significantly reduced order structural dynamics models for simulation of nonlinear response of structures. In this paper oscillator chains having nonlinear damping and linear stiffness are considered. Both non-smooth and smooth nonlinear damping will be discussed for the case of isolated nonlinear damping and for the case of many equal nonlinear damping elements distributed throughout the structure. Most of the results to be shown will address the accuracy with which significantly reduced order models (e.g., 5, 10 and 20 DOF reduc

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Huang, Shih-Chun, and Meng-Hsuan Tien. "A Hybrid Continuation Framework for Analyzing Nonlinear Normal Modes of Piecewise-Linear Systems." In ASME 2023 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/detc2023-115105.

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Abstract The prediction of the modal properties of non-smooth mechanical systems with clearances and prestress presents a computational challenge, since the nonlinearity induced by piecewise-linear stiffness eliminates the use of efficient linear modal analysis techniques. For obtaining nonlinear normal modes (NNMs) of structural systems through modal analysis, a numerical framework that combines numerical integration, the shooting method, and the arc-length continuation scheme is the most widely used approach. This numerical continuation framework computes NNMs through iterative numerical cal

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Schiavoni, M. "Some recent advances and applications in Distinct Element modelling of masonry structures." In AIMETA 2022. Materials Research Forum LLC, 2023. http://dx.doi.org/10.21741/9781644902431-51.

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Abstract. In this paper, advanced numerical models are used to study the progressive damage of a historic building, namely the Palazzo of Podestà and the Civic Tower of Accumoli (central Italy). The dynamic behaviour of the structure is analyzed following important seismic events such as those that occurred in 2016-2017. Discontinuous and continuous approaches are used. In the formers, the masonry response is represented both with Discrete Element Method (DEM) and the Non-Smooth Contact Dynamic (NSCD) method; in the latter the masonry nonlinearity is replicated using the Concrete Damage Plasti

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Guo, Jian, Bin Yao, Jun Jiang, and Qingwei Chen. "Adaptive Robust Control for a Class of Nonlinear Uncertain System With Unknown Input Backlash." In ASME 2009 Dynamic Systems and Control Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/dscc2009-2656.

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An adaptive robust control (ARC) algorithm is developed for a class of nonlinear dynamic system with unknown input backlash, parametric uncertainties and uncertain disturbances. Due to the non-smooth dynamic nonlinear nature of backlash, existing robust adaptive control methods mainly focus on using approximate inversion of backlash by on-line parameter adaptation. But experimental results show that a linear controller alone can perform better than a controller including the selected backlash inverter with a correctly estimated or overestimated backlash gap. Unlike many existing control scheme

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Wu, Tzu Sung, and Mansour Karkoub. "Robust Anti-Swing Adaptive Fuzzy Tracking Control for Tower Crane Systems With Both Dead-Zone Band and Time-Delays Uncertainties." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-51733.

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Complex mechanical systems, such as tower cranes, are known to be highly nonlinear, under-actuated, and non-colocated, which makes their closed-loop control very challenging. The interconnected components of these systems undergo complex dynamic phenomena, such as friction, which lead to energy or momentum transmission delays. The complexity of such systems is further complicated by external disturbances and nonlinearities resulting from using hydraulic and/or electrical actuators, mechanical joints, gears, etc., which result in the formation of dead-zones, backlash, and hysteresis. A dead-zon

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He, Li. "Spectral Heat Transfer Coefficient for Thermal Design Analysis - Part 2: Leveraging Diabatic Flow Conditioning for Nonlinear Regime." In ASME Turbo Expo 2024: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2024. http://dx.doi.org/10.1115/gt2024-124471.

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Abstract There are two main issues of interest in the context of Newton’s law of cooling as applied to turbine aerothermal designs. First, in a linear aerothermal regime in which both the conventional wisdom in general and the law of cooling in particular are notionally established, how do we deal with a non-isothermal wall where the surface temperature is nonuniform? Secondly, what can we do if an aerothermal system becomes nonlinear, manifested by qualitatively large changes of the flow field affected by heat transfer? In Part 1, a new spectral heat transfer coefficient (SHTC) method has bee

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