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NONLINEAR EXPECTATIONS AND NONLINEAR MARKOV CHAINS
Chinese Annals of Mathematics, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Physica D: Nonlinear Phenomena, 1990
This paper presents a broad and well-written account of some major features of nonlinear optics. It sketches the development - via the discovery of laser - of optics from a linear science to todays highly nonlinear research field, displaying the full and enormously rich phenomenology characterizing this area.
Moloney, Jerome V., Newell, Alan C.
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This paper presents a broad and well-written account of some major features of nonlinear optics. It sketches the development - via the discovery of laser - of optics from a linear science to todays highly nonlinear research field, displaying the full and enormously rich phenomenology characterizing this area.
Moloney, Jerome V., Newell, Alan C.
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Nonlinear Wrinkling of Nonlinear Membranes of Revolution
Journal of Applied Mechanics, 1978The general problem of nonlinear wrinkling of nonlinear membranes of revolution is considered. The theory is applicable to membranes made of any nonlinear material although only Mooney material is considered in this paper. A smooth psuedo deformed surface is introduced to give a gross representation of the true deformed surface, and a kinematic ...
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A nonlinear resistor and nonlinear inductor using a nonlinear capacitor
Journal of the Franklin Institute, 1999Abstract Ferroelectric capacitors whose rated voltage is basically defined by the requirement of a fair linearity of the (generally nonlinear) capacitors’ voltage–charge characteristic, not by the breakdown voltage, which can be much higher, are widely used today.
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Discrete nonlinear systems: on the admissible nonlinear disturbances
Journal of the Franklin Institute, 2001Consider the linear nominal discrete system \[ x_{i+1}= Ax_i,\quad y_i= Cx_i,\quad x_0\in \mathbb{R}^n\tag{1} \] and a perturbed form \[ x^\xi_{i+1}= Ax^\varepsilon_i+ Be_i+ g(\beta_i) f(x^\xi_i),\;x^\xi_0= x_0+ w,\;y^\xi_i= Cx^\xi_i,\tag{2} \] where \(e_i\), \(\beta_i\), \(w\) are some disturbance parameters. The disturbance \((w,(e_i),(\beta_i))\) is
Mostafa Rachik +3 more
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Nonlinear leastpth optimization and nonlinear programming
Mathematical Programming, 1977Over the past few years a number of researchers in mathematical programming became very interested in the method of the Augmented Lagrangian to solve the nonlinear programming problem. The main reason being that the Augmented Lagrangian approach overcomes the ill-conditioning problem and the slow convergence of the penalty methods.
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1990
Nonlinearity interfaces, i.e. those between an ordinary dielectric and a dielectric material with an intensity-dependent index of refraction, have recently played an important role as an element in optical bistable devices 1,3. The efforts of researchers are aimed at finding non linear materials with particular optical properties in order to fit very ...
F Bloisi +8 more
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Nonlinearity interfaces, i.e. those between an ordinary dielectric and a dielectric material with an intensity-dependent index of refraction, have recently played an important role as an element in optical bistable devices 1,3. The efforts of researchers are aimed at finding non linear materials with particular optical properties in order to fit very ...
F Bloisi +8 more
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Identification of nonlinear LFR systems with two nonlinearities
2013 IEEE International Instrumentation and Measurement Technology Conference (I2MTC), 2013When identifying a system (e.g. mechanical, electrical or chemical) based on inand output measurements and without physical knowledge, an engineer faces many choices. First of all, there exist standard linear models, but when those do not sufficiently well describe the data, nonlinear models should be considered.
Van Mulders, Anne, Vanbeylen, Laurent
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“Once Nonlinear, Always Nonlinear”
AIP Conference Proceedings, 2006The phrase “Once nonlinear, always nonlinear” is attributed to David F. Pernet. In the 1970s he noticed that nonlinearly generated higher harmonic components (both tones and noise) don’t decay as small signals, no matter how far the wave propagates. Despite being out of step with the then widespread notion that small‐signal behavior is restored in “old
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The American Mathematical Monthly, 2000
In this note we prove a theorem related to the Steinhaus Theorem on matrix summability methods [2]. Recall that a matrix summability method is a sequenceto-sequence mapping of the form {xj} '> {sn = an, kXk}, n E N, and it is called regular if convergent sequences are mapped to convergent sequences with the same limit.
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In this note we prove a theorem related to the Steinhaus Theorem on matrix summability methods [2]. Recall that a matrix summability method is a sequenceto-sequence mapping of the form {xj} '> {sn = an, kXk}, n E N, and it is called regular if convergent sequences are mapped to convergent sequences with the same limit.
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