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Showing 1 to 20 of 115 for “"Volterra"”.
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Volterra difference equations
… consists of five papers in which discrete Volterra equations of different types and orders are studied and results regarding the behavior of their solutions are established. The first paper presents some fundamental results about subexponential sequences. It also illustrates the …
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Volterra Systems with Realizable Kernels
… and a direct Runge-Kutta method for solving Volterra integro-differential equations and Volterra delay differential equations. The internal state method requires the kernel of the Volterra integral to be realizable as an impulse response function. We discover that when applicable, the …
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A Transform Method for Volterra Equations
Made available in DSpace on 2014-12-17T23:17:43Z (GMT). No. of bitstreams: 1 7309913.pdf: 1483930 bytes, checksum: 072a3747bd9a849619c297bff41ad0b3 (MD5) Previous issue date: 1972
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Travelling waves in Lotka-Volterra competition models
… where the interactions are of classic “Lotka-Volterra” type and we consider a particular problem with relevance to applications in population dynamics: essentially, we study under what conditions the interplay of relative motility (diffusion) and competitive strength can cause waves of …
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Volterra System Analysis for an Electrochemical Sensor
… strategy is to model the liquid using a Volterra series representation. This work will document the integration of Volterra system identification capabilities within the sensor and its performance when modelling different liquid media as well as modifications made to the sensor for the …
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The perturbation theory of some Volterra operators
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1963.
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A nonlinear Volterra equation of nonconvolution type
The purpose of this paper is to study the asymptotic behavior of bounded solutions x(t) of the integrodifferential equation.
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Population dynamics of stochastic lattice Lotka-Volterra models
In a stochastic Lotka-Volterra model on a two-dimensional square lattice with periodic boundary conditions and subject to occupation restrictions, there exists an extinction threshold for the predator population that separates a stable active two-species coexistence phase from an inactive state …
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Fast Algorithms for Volterra-Series-Based Nonlinear Adaptive Filters
… algorithms for the second-order adaptive Volterra filter are developed in Chapter 2. By utilizing the special structure of the input correlation matrix of the Volterra filter the two algorithms essentially implement quasi-Newton algorithm with $O\lbrack {\rm N}\sp2\rbrack$ computational …
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Properties of maximum length sequence and nonlinear volterra slice otoacoustic emissions
… increased speed and sensitivity of testing. Volterra slice otoacousticemissions (VSOAEs) can be extracted from the response using this technique. Theserepresent nonlinear temporal interaction components and are more sensitive to changes incochlear pathology than the conventional response. …
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Model Predictive Control of a Nonlinear Aeroelastic System Using Volterra Series Representations
… the potential effectiveness of using a Volterra-based Model Predictive Control strategy to control a nonlinear aeroelastic system. Model Predictive Control (MPC), also known as Receding Horizon Control (RHC), entails computing optimal control inputs over a finite time horizon, applying a …
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On the asymptotic behaviour of deterministic and stochastic volterra integro-differential equations
… involves studying the asymptotic properties of Volterra integro-differential equations. The type of stability that has been established for this class of equations is important in a variety of real-world problems which involve feedback from the past, and are subject to external random forces. …
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Generalized Volterra-Wiener and surrogate data methods for complex time series analysis
… series analysis including surrogate data and Volterra-Wiener modeling. We describe new algorithms converging the two approaches that provide both a sensitive test for nonlinear dynamics and a noise-robust metric for chaos intensity.
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Uniform L¹ behavior for the solution of a volterra equation with a parameter
The solution u=u(t)=u(t,λ) of (E) u′(t)+λ∫<sub>0</sub><sup>t</sup>u(t-τ)(d+a(τ))dτ=0, u(0)=1, t ≥ 0, λ ≥ 1 where d ≥ 0, a is nonnegative, nonincreasing, convex and ∞ ≥ a(0+) > a(∞) = 0 is studied. In particular the question asked is: When is (F) ∫<sub>0</sub><sup>∞</sup><sub>λ ≥ …
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Some stochastic integral and discrete equations of the volterra and fredholm types with applications
… random or stochastic integral equations of the Volterra type in the form x(t;w) = h(tiW) + fa k(t,T~w)f(T,x(Tjw»dT, t > 0, and of the Fredholm type in the form 00 x(tjw) = h(t:w) + fa ko(t,T;w)e(T,x(T;w»dT, t ~ 0, where w £ Q, the supporting set of a complete probability measure space …
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