Relevant bibliographies by topics / Non-linear dynamics

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Non-linear dynamics'

Author: Grafiati
Published: 4 June 2021
Last updated: 26 July 2025

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Journal articles on the topic "Non-linear dynamics"

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Baradokas, Petras, Edvard Michnevic, and Leonidas Syrus. "LINEAR AND NON‐LINEAR PROBLEMS OF PLATE DYNAMICS." Aviation 11, no. 4 (2007): 9–13. http://dx.doi.org/10.3846/16487788.2007.9635971.

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This paper presents a comparative analysis of linear and non‐linear problems of plate dynamics. By expressing the internal friction coefficient of the material by power polynomial γ= γ0 + γ1ϵ0 + γ2ϵ0 2+…, we assume γ= γ0 = const for a linear problem. When at least two polynomial terms are taken, a non‐linear problem is obtained. The calculations of resonance amplitudes of a rectangular plate yielded 3 per cent error: a linear problem yields a higher resonance amplitude. Using the Ritz method and the theory of complex numbers made the calculations. Similar methods of calculation can be used in
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Halmi, Aleksandar. "Chaos and non-linear dynamics." International Social Work 46, no. 1 (2003): 83–101. http://dx.doi.org/10.1177/0020872803046001792.

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Pimienta, V., G. Lévy, D. Lavabre, J. P. Laplante, and J. C. Micheau. "Non-linear dynamics in photochemistry." Physica A: Statistical Mechanics and its Applications 188, no. 1-3 (1992): 99–112. http://dx.doi.org/10.1016/0378-4371(92)90257-q.

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Zborovsky, Garold E., and Polina A. Ambarova. "From Non-Linear Knowledge to Non-Linear Trust." Sociological Journal 25, no. 3 (2019): 176–87. http://dx.doi.org/10.19181/socjour.2019.25.3.6683.

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This article is devoted to disclosing the idea of trusting knowledge, which is laid out in the monograph “Trusting knowledge in conditions of social turbulence: risks, vulnerabilities, security challenges”. The genre of the article/review allowed for presenting the key positions of the sociological conception and the results of empirical research conducted by the book’s authors (the research team of MGIMO University under the guidance of Professor S.A. Kravchenko), as well as for interpreting them while taking into account our own theoretical and methodological approaches to the phenomenon of
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El-Nabulsi, Ahmad Rami. "Non-Linear Dynamics with Non-Standard Lagrangians." Qualitative Theory of Dynamical Systems 12, no. 2 (2012): 273–91. http://dx.doi.org/10.1007/s12346-012-0074-0.

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Krishan, S. "Non-linear dynamics of non-neutral plasmas." Plasma Physics and Controlled Fusion 32, no. 13 (1990): 1209–19. http://dx.doi.org/10.1088/0741-3335/32/13/002.

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Horn, Joseph. "Non-Linear Dynamic Inversion Control Design for Rotorcraft." Aerospace 6, no. 3 (2019): 38. http://dx.doi.org/10.3390/aerospace6030038.

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Flight control design for rotorcraft is challenging due to high-order dynamics, cross-coupling effects, and inherent instability of the flight dynamics. Dynamic inversion design offers a desirable solution to rotorcraft flight control as it effectively decouples the plant model and effectively handles non-linearity. However, the method has limitations for rotorcraft due to the requirement for full-state feedback and issues with non-minimum phase zeros. A control design study is performed using dynamic inversion with reduced order models of the rotorcraft dynamics, which alleviates the full-sta
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Mazzilli, C. E. N., G. C. Monticelli, and N. A. Galan Neto. "Reduced-order modelling in non-linear dynamics: an approach based on non-linear modes." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 225, no. 10 (2011): 2354–68. http://dx.doi.org/10.1177/0954406211410267.

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It is largely accepted that non-linear modes of vibration may be particularly suitable for obtaining ‘reduced-order’ models in non-linear dynamics, for their ability to grasp the essential qualitative system information that a much larger number of linear modes are required to. Previous work by the first author on ‘reduced-order’ modelling in non-linear dynamics did not account for the velocity contents within non-linear modes. For many systems, this simplifying assumption does not, in fact, spoil the quality of the ‘reduced-order’ model. Nevertheless, it is not to be generally taken for grant
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Vahidin, Hadžiabdić, Mehuljić Midhat, Bektešević Jasmin, and Metović Sadjit. "Dynamics and Bifurcation for One Non-linear System." Science, Engineering and Technology 3, no. 1 (2023): 67–71. https://doi.org/10.54327/set2023/v3.i1.65.

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In this paper, we observed the ordinary differential equation (ODE) system and determined the equilibrium points. To characterize them, we used the existing theory developed to visualize the behavior of the system. We describe the bifurcation that appears, which is characteristic of higher-dimensional systems, that is when a fixed point loses its stability without colliding with other points. Although it is difficult to determine the whole series of bifurcations that lead to chaos, we can say that it is a common opinion that it is precisely the Hopf bifurcation that leads to chaos when it come
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Rana, Rajeshri, Yashwant S. Chauhan, and Ashish Negi. "Non Linear Dynamics of Ishikawa Iteration." International Journal of Computer Applications 7, no. 13 (2010): 43–49. http://dx.doi.org/10.5120/1320-1674.

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Dissertations / Theses on the topic "Non-linear dynamics"

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Ganapathy, Annadurai Shathiyakkumar. "Non-Linear Electromechanical System Dynamics." ScholarWorks@UNO, 2014. http://scholarworks.uno.edu/td/1799.

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Electromechanical systems dynamics analysis is approached through nonlinear differential equations and further creating a state space model for the system. There are three modules analyzed and validated, first module consists two magnet coupled with a mass spring damper system as a band-pass system, Low-pass equivalent system and Low-pass equivalent system through perturbation analysis. Initially Band Pass frameworks for the systems are formulated considering the relation between the mechanical forcing and current. Using Mathematical tools such as Hilbert transforms, Low-Pass equivalent of the
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Tcheou, Genevieve. "Non-linear dynamics of mooring lines." Thesis, Massachusetts Institute of Technology, 1997. http://hdl.handle.net/1721.1/10524.

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Wilson, Jonathan P. "Non-linear dynamics and power systems." Thesis, University of Bath, 2000. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.341136.

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Miao, Quan. "Nuclear Dynamics in Linear and Non-linear X-ray Processes." Doctoral thesis, KTH, Teoretisk kemi och biologi, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-133432.

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New generations of brilliant synchrotron radiation sources and intense X-ray and optical lasers have opened unprecedent opportunities in linear and non-linear spectroscopies of molecules. This together with new instrumentation calls for further development of theory to explain observations and suggest new experiments. These two goals are the main objectives of the present thesis. In the first part of the thesis we study resonant inelastic X-ray scattering of the oxygen molecule. Recent experimental data of O2 show the dependence of the vibrational profile on the polarization of the X-rays. Thi
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Cho, Byung Moon. "Protein dynamics measured by non linear spectroscopy." Thesis, Imperial College London, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.408516.

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Sérandour, Guillaume. "Non-linear dynamics of vibratory rate sensors." Thesis, University of Nottingham, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.423468.

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Abbs, Charlotte. "Quantum dynamics of non-linear optomechanical systems." Thesis, University of Nottingham, 2014. http://eprints.nottingham.ac.uk/27692/.

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This thesis explores the dynamics of optomechanical systems, which use radiation pressure to couple together optical and mechanical modes. Such systems display dynamics ranging from the quantum to the classical, with a variety of applications including ground state cooling and precision measurements. In this thesis two different geometries are presented for such a system in the form of the ‘reflective’ and ‘dispersive’ systems. Different aspects of the dynamics are investigated numerically and analytically. Firstly the reflective system is introduced, which consists of a cavity formed from a f
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Pechenik, Leonid. "Pattern formation and non-linear dynamics of non-equilibrium systems /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC IP addresses, 2000. http://wwwlib.umi.com/cr/ucsd/fullcit?p9970653.

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Ziemianski, Michal. "Non-linear balanced models for baroclinic waves." Thesis, University of Reading, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.343201.

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Panadès, i. Guinart Carles. "Non-linear fluid dynamics in oscillatory cylindrical cavities." Doctoral thesis, Universitat Politècnica de Catalunya, 2013. http://hdl.handle.net/10803/129572.

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Even though the transition to turbulence has been studied for over a century, its complete comprehension still remains unclear even for the simplest flows and continues to be a daunting challenge for the scientific community. Among these, there is the transition from the von K\'arm\'an vortex street to turbulent wakes. The complexity of this problem poses a series of difficulties that leaves little room for manoeuvre, so other ways to tackle this question have to be sought. A reasonable option is the analysis of the instability phenomena that other flows with the same symmetry group undergo. D
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Books on the topic "Non-linear dynamics"

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Nishimura, Kazuo, Alain Venditti, and Nicholas C. Yannelis, eds. Sunspots and Non-Linear Dynamics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-44076-7.

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Khanna, Faqir, and Davron Matrasulov, eds. Non-Linear Dynamics and Fundamental Interactions. Springer Netherlands, 2006. http://dx.doi.org/10.1007/1-4020-3949-2.

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Abraham-Frois, Gilbert, ed. Non-Linear Dynamics and Endogenous Cycles. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-642-58901-0.

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Marc, Jarsulic, ed. Non-linear dynamics in economic theory. E. Elgar Pub., 1993.

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Gilbert, Abraham-Frois, ed. Non-linear dynamics and endogenous cycles. Springer, 1998.

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Ravenna, Federico. Non-linear structures and exchange rate dynamics identification. University of Derby], 1997.

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United States. National Aeronautics and Space Administration., ed. Non-linear unsteady wing theory. National Aeronautics and Space Administration, 1987.

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United States. National Aeronautics and Space Administration., ed. Non-linear unsteady wing theory. National Aeronautics and Space Administration, 1987.

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Schwartz, Guillermo. Non linear dynamics of small arrays of Josephson junctions. University of Birmingham, 1993.

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Singh, Rajendra. Non-linear dynamic analysis of geared systems. The Ohio State University, Dept. of Mechanical Engineering, 1990.

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Book chapters on the topic "Non-linear dynamics"

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Drabble, G. E. "Non-Linear Acceleration." In Dynamics. Macmillan Education UK, 1990. http://dx.doi.org/10.1007/978-1-349-10448-2_5.

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Dyke, Phil. "Non-linear Dynamics." In Mechanics. Macmillan Education UK, 1995. http://dx.doi.org/10.1007/978-1-349-13074-0_12.

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Ziemann, Volker. "Non-linear Dynamics." In Hands-On Accelerator Physics Using MATLAB®, 2nd ed. CRC Press, 2025. https://doi.org/10.1201/9781003463283-11.

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Drabble, G. E. "Non-linear Acceleration." In Work Out Dynamics. Macmillan Education UK, 1987. http://dx.doi.org/10.1007/978-1-349-08864-5_6.

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Chen, Yushu, and Andrew Y. T. Leung. "Non-Linear Structural Dynamics." In Bifurcation and Chaos in Engineering. Springer London, 1998. http://dx.doi.org/10.1007/978-1-4471-1575-5_11.

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Vepa, Ranjan. "Aircraft Non-Linear Dynamics." In Flight Dynamics, Simulation, and Control, 2nd ed. CRC Press, 2023. http://dx.doi.org/10.1201/9781003266310-4.

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Bucher, C. G., and G. I. Schuëller. "Non-Gaussian Response of Linear Systems." In Structural Dynamics. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-88298-2_6.

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Meesmann, Malte, Christian Braun, Ansgar Freking, Marcus Koller, and Peter Kowallik. "Methods of Non-Linear Dynamics." In Advances in Noninvasive Electrocardiographic Monitoring Techniques. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4090-4_40.

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Tanimoto, Jun. "Dynamics of Non-Linear Systems." In Mathematical Analysis of Environmental System. Springer Japan, 2013. http://dx.doi.org/10.1007/978-4-431-54622-1_4.

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Guégan, Dominique, and Bertrand K. Hassani. "Risks and Non-Linear Dynamics." In Risk Measurement. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-02680-6_7.

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Conference papers on the topic "Non-linear dynamics"

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Haroon, Mohd Farhan, Syed Adnan Akhtar, Faiyaz Ahamad, and Mohd Zaid. "Quadrotor control: A Linear MPC approach for Non-Linear dynamics." In 2024 International Conference on Control, Computing, Communication and Materials (ICCCCM). IEEE, 2024. https://doi.org/10.1109/iccccm61016.2024.11039974.

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Cammarano, Andrea, and Alessandro Carrella. "Dynamics of non-linear structures: modal interaction and non-linear identification." In 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
20th AIAA/ASME/AHS Adaptive Structures Conference
14th AIAA. American Institute of Aeronautics and Astronautics, 2012. http://dx.doi.org/10.2514/6.2012-1974.

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Halfmann, Eric B., and C. Steve Suh. "High Speed Non-Linear Micro-Milling Dynamics." In ASME 2012 International Manufacturing Science and Engineering Conference collocated with the 40th North American Manufacturing Research Conference and in participation with the International Conference on Tribology Materials and Processing. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/msec2012-7287.

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The efficiency of the milling process is limited due to excessive vibrations that negatively impact the tool and work-piece quality. This becomes even more of a concern in micro-milling where sudden tool breakage occurs before the operator can adjust cutting parameters. Due to different chip formation mechanisms in micro-milling, an increased tool-radius to feed-rate ratio, and higher spindle speeds, micro-milling is a highly non-linear process which can produce multiple and broadband frequencies which increase the probability of tool failure. This paper investigates micro-milling through the
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JIANG, W., W. JONES, K. WU, and T. WANG. "Non-linear and linear, static and dynamic analyses of helical springs." In 30th Structures, Structural Dynamics and Materials Conference. American Institute of Aeronautics and Astronautics, 1989. http://dx.doi.org/10.2514/6.1989-1200.

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Chao, Alex. "Recent non-linear dynamics studies for the SSC." In Nonlinear−dynamics and particle acceleration. AIP, 1991. http://dx.doi.org/10.1063/1.40770.

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Mavriplis, D. "An assessment of linear versus non-linear multigrid methods for unstructured mesh." In 15th AIAA Computational Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics, 2001. http://dx.doi.org/10.2514/6.2001-2573.

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Kantor, Etay, Rauno Cavallaro, and Daniella E. Raveh. "Geometrically Non-linear Structural Modal Model for Aeroelastic Applications." In 15th Dynamics Specialists Conference. American Institute of Aeronautics and Astronautics, 2016. http://dx.doi.org/10.2514/6.2016-1797.

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Shimizu, Taro, Dan Hori, Keiichi Kitamura, Yu Daimon, and Akira Oyama. "Slit Resonator Design and Damping Estimation in Linear and Non-linear Ranges." In 41st AIAA Fluid Dynamics Conference and Exhibit. American Institute of Aeronautics and Astronautics, 2011. http://dx.doi.org/10.2514/6.2011-3261.

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Boivin, Nicolas, Christophe Pierre, and Steven W. Shaw. "Non-Linear Normal Modes, Invariance, and Modal Dynamics Approximations of Non-Linear Systems." In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0028.

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Abstract Non-linear systems are here tackled in a manner directly inherited from linear ones, i.e., by denning proper normal modes of motion. These are defined in terms of invariant manifolds in the system’s phase space, on which the uncoupled system dynamics can be studied. Two different methodologies which were previously developed to derive the non-linear normal modes of continuous systems — one based on a purely continuous approach, and one based on a discretized approach where the theory developed for discrete systems can be applied — are simultaneously applied to the same study case — an
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Boivin, Nicolas, Christophe Pierre, and Steven Shaw. "Non-linear modal analysis of the forced response of structural systems." In Dynamics Specialists Conference. American Institute of Aeronautics and Astronautics, 1996. http://dx.doi.org/10.2514/6.1996-1250.

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Reports on the topic "Non-linear dynamics"

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Raimondi, Pantaleo. Non Linear Beam Dynamics at DAPHINE. Office of Scientific and Technical Information (OSTI), 2002. http://dx.doi.org/10.2172/800061.

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Leen, Todd K. Stochastic Learning Dynamics and Non-Linear Dimension Reduction. Defense Technical Information Center, 1994. http://dx.doi.org/10.21236/ada292818.

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Abarbanel, D. I. (Studies of non-linear dynamics of dissipative systems). Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/6261505.

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Blanco, Andres, Corina Boar, Callum Jones, and Virgiliu Midrigan. Non-Linear Inflation Dynamics in Menu Cost Economies. National Bureau of Economic Research, 2024. http://dx.doi.org/10.3386/w32094.

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Zhu, Xiangdong. Non-linear optical studies of adsorbates: Spectroscopy and dynamics. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/5538721.

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Correa, Alfredo, Xavier Andrade, Alicia Welden, Jane Herriman, and Rafi Ullah. Quantum Non-Equilibrium Dynamics Prediction of Electronic Transport Coefficients in Non-Linear Regimes. Office of Scientific and Technical Information (OSTI), 2020. http://dx.doi.org/10.2172/1727268.

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Haj, Tahar M., and F. Meot. Transverse beam dynamics in non-linear Fixed Field Alternating Gradient accelerators. Office of Scientific and Technical Information (OSTI), 2016. http://dx.doi.org/10.2172/1244213.

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CARNEGIE-MELLON UNIV PITTSBURGH PA. Non-Linear Dynamics and Chaotic Motions in Feedback Controlled Elastic System. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada208628.

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Podesta, M., N. A. Crocker, E. D. Fredrickson, et al. Non-linear Dynamics Of Toroidicity-induced Alfven Eigenmodes On The National Spherical Torus Experiment. Office of Scientific and Technical Information (OSTI), 2011. http://dx.doi.org/10.2172/1013043.

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Melcangi, Davide, and Silvia Sarpietro. Nonlinear Firm Dynamics. Federal Reserve Bank of New York, 2024. http://dx.doi.org/10.59576/sr.1088.

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This paper presents empirical evidence on the nature of idiosyncratic shocks to firms and discusses its role for firm behavior and aggregate fluctuations. We document that firm-level sales and productivity are hit by heavy-tailed shocks and follow a nonlinear stochastic process, thus departing from the canonical linear. We estimate a state-of-the-art model to flexibly capture the rich dynamics uncovered in the data and characterize the drivers of nonlinear persistence and non-Gaussian shocks. We show that these features are crucial to get empirically plausible volatility and persistence of mic
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