Results 11 to 20 of about 4,906,655 (367)
Discovering governing equations from data by sparse identification of nonlinear dynamical systems [PDF]
Significance Understanding dynamic constraints and balances in nature has facilitated rapid development of knowledge and enabled technology, including aircraft, combustion engines, satellites, and electrical power. This work develops a novel framework to
S. Brunton, J. Proctor, J. Kutz
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Nonlinear supratransmission [PDF]
A nonlinear system possessing a natural forbidden band gap can transmit energy of a signal with a frequency in the gap, as recently shown for the nonlinear chain of coupled pendula [Phys Rev Lett 89 (2002) 134102]. This process of nonlinear supratransmission, occurring at a threshold exactly predictable in many cases, is shown to have a simple ...
Leon, Jerome, Geniet, Frederic
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A new method for analysing nonlinear and non-stationary data has been developed. The key part of the method is the ‘empirical mode decomposition’ method with which any complicated data set can be decomposed into a finite and often small number of ...
Norden E. Huang +8 more
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The objectives and some basic methods of numerical bifurcation analysis are described. Several computational examples are used to illustrate the power as well as the limitations of these techniques. Directions in which further algorithmic and software development is desirable are also discussed.
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Discussing the dynamical properties of various power system models is of significant importance in order to understand its complete behavior. Even though there are many literatures discussing about the chaotic behavior shown by phase converter circuits ...
Karthikeyan Rajagopal +4 more
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Distinct clusters of movement entropy in children’s exploration of a virtual reality balance beam
Although assessing motor competence is vital to advancing current understandings of motor development and its significance in various fields, no consensus exists on how the construct should be operationalised and measured.
Håvard Lorås +4 more
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Seismic nonlinear vibration control algorithm for high-rise buildings
It is necessary to study the seismic problem of buildings and structures for various safety reasons. Such as prevent and to reduce the damage caused by earthquakes to the greatest extent possible, research feasible analysis methods, and simulate the ...
Liu Qian +3 more
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The paper presents at first an outline of the basic linear algebra of the classical biplot. Let X be an \(n\times p\) matrix containing numerical information on p variables for each of n samples. The graphical representation of X in a biplot is based on the singular value decomposition \(X=UGV'\), where U and V are \(n\times n\) and \(p\times p ...
Gower, J. C., Harding, S. A.
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Multistability in Horizontal Platform System with and without Time Delays
Chaotic behavior and bifurcation analysis of horizontal platform systems (HPS) have been investigated widely by many researchers. However, the multistable features of such systems have not been investigated, and hence we identified the multistable ...
Karthikeyan Rajagopal +3 more
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Generation of 22-mJ, 2.0-ps Pulses from a 1-kHz Ho:YLF Regenerative Chirped Pulse Amplifier [PDF]
We report a CW-pumped Ho:YLF regenerative amplifier (RA) delivering pulses with 22.5-mJ energy and 2.0-ps duration at 1 kHz. The RA emitting at 2051 nm is broadband-seeded and implemented in a chirped pulse amplification system. © 2024 The Author(s)
Bock Martin +4 more
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