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Nonlinear Dynamics

2001
A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classical theory of stability are essential although basic reviews of the relevant material are provided ...
MEDIO, Alfredo, LINES, Marji
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Nonlinearities in structural dynamics

The Journal of the Acoustical Society of America, 1974
Causes and effects of nonlinearity in structures are surveyed and illustrated by means of examples. Geometrical and material nonlinearities, and nonlinearities due to bearings, friction, clearance, stops, etc., are described. Nonlinearity in stiffness is contrasted with nonlinearity in damping. Dynamic effects of nonlinearity, including jump phenomena,
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Dynamics of Nonlinear Feedback Control

Neural Computation, 2007
Feedback control in neural systems is ubiquitous. Here we study the mathematics of nonlinear feedback control. We compare models in which the input is multiplied by a dynamic gain (multiplicative control) with models in which the input is divided by a dynamic attenuation (divisive control). The gain signal (resp.
Herman P. Snippe, J. H. van Hateren
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Linearization of Nonlinear Dynamic Systems

IEEE Transactions on Instrumentation and Measurement, 2004
In this paper we propose a method to linearize a nonlinear dynamic system: the nonlinear distortions are reduced, and the linear dynamics are corrected to a flat amplitude and linear phase in a user defined frequency band.
Johan Schoukens   +4 more
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Nonlinear Dynamics of Memristor Oscillators

IEEE Transactions on Circuits and Systems I: Regular Papers, 2011
A thorough investigation of the nonlinear dynamics of networks of memristor oscillators is a key step towards the design of systems based upon them, such as neuromorphic circuits and dense nonvolatile memories. A wide gamut of complex dynamic behaviors, including chaos, is observed even in a simple network of memristor oscillators, proposed here as a ...
CORINTO, FERNANDO   +2 more
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Nonlinear dynamics and nonlinear dynamical systems

2015
The concept of Dynamics exists everywhere in our lives. As an integral component of daily reality, engineers and scientists research, analyze, and observe the behaviors of dynamics and dynamical systems and their application in our real world activities. As a general rule, dynamical systems are characterized by their nonlinear quality.
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Nonlinear Firm Dynamics

Staff Reports (Federal Reserve Bank of New York)
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.
Melcangi, Davide, Sarpietro, Silvia
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Nonlinear dynamics of Raman lasers

Physical Review A, 1990
It has recently been shown that single mode Raman lasers are reducible to a simple mathematical description [1] similar to that of the detuned Haken-Lorenz model but for which operating conditions are considerably relaxed. As such they provide excellent opportunity for quantitative tests of nonlinear dynamics.
, Lu, , Harrison
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Nonlinearities in Economic Dynamics

The Economic Journal, 1990
two reasons that led to the dominance of the linear stochastic difference equations approach. The first one was the fact that the nonlinear systems seemed incapable of reproducing the 'statistical' aspects of actual economic time series. At best, such models were able to produce periodic motion1 and an examination of the spectra of economic time series
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Nonlinear analysis of pupillary dynamics

Biomedical Engineering / Biomedizinische Technik, 2016
AbstractPupil size reflects autonomic response to different environmental and behavioral stimuli, and its dynamics have been linked to other autonomic correlates such as cardiac and respiratory rhythms. The aim of this study is to assess the nonlinear characteristics of pupil size of 25 normal subjects who participated in a psychophysiological ...
ONORATI, FRANCESCO   +4 more
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