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Subjects / keywords: Science: Mathematics

Subjects / keywords: nonlinear mathematical physics, nonlinear continuous and discrete equations of mathematical physics, integrability and non-integrability of continuous and discrete systems, painlevé analysis, geometry of soliton equatio...

The solution of nonlinear Fredholm integro-differential equations plays a significant role in analyzing many nonlinear events that occur in chemistry, physics, mathematical biology, and a variety of other fields of scien...

As society’s appetite for information continues to grow, so does our need to process this information with increasing speed and versatility. Many believe that the one-size-fits-all solution of digital electronics is be...

Engineering and physics applications are described mathematically as a system of Volterra integral equations (SVIEs). Although many numerical techniques have been considered to solve SVIEs, developing more stable, and ef...

Previous article Next article Fractional Brownian Motions, Fractional Noises and ApplicationsBenoit B. Mandelbrot and John W. Van NessBenoit B. Mandelbrot and John W. Van Nesshttps://doi.org/10.1137/1010093PDFBibTexSecti...

Finite systems of deterministic ordinary nonlinear differential equations may be designed to represent forced dissipative hydrodynamic flow. Solutions of these equations can be identified with trajectories in phase space...

A comprehensive review of spatiotemporal pattern formation in systems driven away from equilibrium is presented, with emphasis on comparisons between theory and quantitative experiments. Examples include patterns in hydr...

Subjects / keywords: Nonlinear system; Square (algebra); Computation; Echo (communications protocol); Exponential function; Algorithm; Planar; SIGNAL (programming language); Atlas (anatomy); Medicine; Physics; Mathematical analysis

Subjects / keywords: laplace transform, kerr nonlinearity, metamaterial, discrete time, mathematical model, lindley integral equation; Science: Physics; Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics

This study presents the dynamical analysis and soliton solutions of the Chaffee–Infante equation, an important nonlinear evolution model. The Chaffee Infante equation, widely employed as a reaction–diffusion model, i...

A novel closed-loop control methodology is introduced to stabilize a cylinder wake flow based on images of streaklines. Passive scalar tracers are injected upstream the cylinder and their concentration is monitored downs...

Subjects / keywords: Monte Carlo method; Sensitivity (control systems); Monte Carlo molecular modeling; Monte Carlo method in statistical physics; Hybrid Monte Carlo; Quasi-Monte Carlo method; Statistical physics; Nonlinear system; Applied m...

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This paper is based on the elementary remark that the extraction of gauge invariant results from a formally gauge invariant theory is ensured if one employs methods of solution that involve only gauge covariant quantitie...

This paper considers the model problem of reconstructing an object from incomplete frequency samples. Consider a discrete-time signal f/spl isin/C/sup N/ and a randomly chosen set of frequencies /spl Omega/. Is it possib...

Subjects / keywords: Godunov's scheme; Mathematics; Conservation law; Nonlinear system; Applied mathematics; Dissipative system; Monotonic function; Order (exchange); Euler equations; Flow (mathematics); Mathematical analysis; Stability (lea...

It is suggested that the nucleon mass arises largely as a self-energy of some primary fermion field through the same mechanism as the appearance of energy gap in the theory of superconductivity. The idea can be put into ...