This paper presents a compact and effective chaosbased keyed hash function implemented by a cross-coupled topology of chaotic maps, which employs absolute-value of sinusoidal nonlinearity, and offers robust chaotic regions over broad parameter spaces with high degree of randomness through chaoticity measurements using the Lyapunov exponent. Hash function operations involve an initial stage when...

This study focused on the approximate controllability results for Hilfer fractional delay evolution equations of Sobolev type without uniqueness. Initially, Lipschitz condition is derived from hypothesis, which represented by a measure noncompactness, in particular, nonlinearity. We also examined continuity solution map equation and topological structure set. Furthermore, we prove with delay. F...

Genes are regulated because their expression involves a fitness cost to the organism. The production of proteins by transcription and translation is a well-known cost factor, but the enzymatic activity of the proteins produced can also reduce fitness, depending on the internal state and the environment of the cell. Here, we map the fitness costs of a key metabolic network, the lactose utilizati...

When the frequencies of a pair of collinear shear and longitudinal waves satisfy the resonant condition, mixing of these two primary waves generates a third, resonant shear wave that propagates in the direction opposite to the propagating direction of the primary shear wave. In this study, experiments were conducted to demonstrate that the acoustic nonlinearity parameter at the location of the ...

We consider an inverse problem for the Boltzmann equation on a globally hyperbolic Lorentzian spacetime (M, g) with unknown metric g. measurements done in neighbourhood $$V\subset M$$ of timelike path $$\mu $$ that connects point $$x^-$$ to $$x^+$$ . The are modelled by source-to-solution map, which maps source supported V restriction solution set V. show map uniquely determines spacetime, up i...

Abstract We introduce and analyze a method of learning-informed parameter identification for partial differential equations (PDEs) in an all-at-once framework. The underlying PDE model is formulated rather general setting with three unknowns: physical parameter, state nonlinearity. Inspired by advances machine learning, we approximate the nonlinearity via neural network, whose parameters are le...

<p style='text-indent:20px;'>We consider a damped Klein-Gordon equation with variable diffusion coefficient. This problem is challenging because of the equation's unbounded nonlinearity. First, we study nonlinearity's continuity properties. Then existence and uniqueness solutions established. The main result solution map on set admissible parameters. Its application to parameter identific...

Simple mathematical models have been unable to predict the conditions leading instabilities in a tuneable ring laser. Here, we propose nonlinear iterative map model for lasers. Solving reduced Schr\"odinger equation each component laser cavity, obtain an algebraic component. Iterating through maps gives total effect of one round trip. By neglecting nonlinearity, find linearly chirped Gaussian b...

A framework for the assessment of nonlinearity in controlled processes is developed. Assuming that the process can be represented by a twice differentiable process map, the extent of nonlinearity is measured by evaluating the induced local curvature of the process response. The magnitude of this curvature is assessed with respect to an appropriately chosen scaling region. This approach provides...

a theory is presented for the dispersion relations of the nonlinear phonon-polaritons arising when phonons are coupled to the electromagnetic waves in multilayered structures of nonlinear materials. the calculations are applied to a multilayered structure consisting of a thin film surrounded by semi-infinite bounding media where each layer may have a frequency dependent dielectric function and ...