gauseR: Simple methods for fitting Lotka‐Volterra models describing Gause’s “Struggle for Existence”
Sign Up to like & getrecommendations! Published in 2020 at "Ecology and Evolution"
DOI: 10.1002/ece3.6926
Abstract: Abstract Point 1: The ecological models of Alfred J. Lotka and Vito Volterra have had an enormous impact on ecology over the past century. Some of the earliest—and clearest—experimental tests of these models were famously… read more here.
Keywords: package; gauser; lotka volterra; fitting lotka ... See more keywords
Volterra operators in the edge-calculus
Sign Up to like & getrecommendations! Published in 2018 at "Analysis and Mathematical Physics"
DOI: 10.1007/s13324-018-0238-4
Abstract: We study the Volterra property of a class of anisotropic pseudo-differential operators on $$\mathbb {R}\times B$$R×B for a manifold B with edge Y and time-variable t. This exposition belongs to a program for studying parabolicity… read more here.
Keywords: edge calculus; anisotropic; operators edge; volterra operators ... See more keywords
Identification of Volterra kernels for improved predictions of nonlinear aeroelastic vibration responses and flutter
Sign Up to like & getrecommendations! Published in 2018 at "Engineering Structures"
DOI: 10.1016/j.engstruct.2018.05.073
Abstract: Abstract Aeroelastic structural systems are intrinsically nonlinear and accurate predictions of dynamic responses of nonlinear aeroelastic systems have become of paramount importance since these directly affect the accuracy and reliability of subsequent stability analyses. Such… read more here.
Keywords: second order; vibration; nonlinear aeroelastic; volterra kernels ... See more keywords
Efficient numerical technique for solution of delay Volterra-Fredholm integral equations using Haar wavelet
Sign Up to like & getrecommendations! Published in 2020 at "Heliyon"
DOI: 10.1016/j.heliyon.2020.e05108
Abstract: In this article, a computational Haar wavelet collocation technique is developed for the solution of linear delay integral equations. These equations include delay Fredholm, Volterra and Volterra-Fredholm integral equations. First we transform the derived estimates… read more here.
Keywords: technique; delay; solution; haar wavelet ... See more keywords
Calcul différentiel et intégral adapté aux substitutions par Volterra
Sign Up to like & getrecommendations! Published in 2019 at "Historia Mathematica"
DOI: 10.1016/j.hm.2018.12.001
Abstract: Resume En 1887 Volterra est lance dans la recherche d'une vision generale pour l'analyse qui va prendre plusieurs formes. Ses travaux les plus connus le menent ainsi a definir les fonctionnelles, ou plus precisement a… read more here.
Keywords: calcul; aux substitutions; dans recherche; recherche une ... See more keywords
Stochastic evolution equations with Volterra noise
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DOI: 10.1016/j.spa.2016.07.003
Abstract: Volterra processes are continuous stochastic processes whose covariance function can be written in the form R(s,t)=∫0s∧tK(s,r)K(t,r)dr, where K is a suitable square integrable kernel. Examples of such processes are the fractional Brownian motion, multifractional Brownian… read more here.
Keywords: volterra processes; evolution equations; equations volterra; volterra ... See more keywords
Volterra Series Based Linearity Analysis of a Phase-Modulated Microwave Photonic Link
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Lightwave Technology"
DOI: 10.1109/jlt.2017.2782886
Abstract: An analytical technique based on Volterra series for systematically computing distortion in analog microwave photonic (MWP) links is presented in this paper. In the analysis, we express both modulator and photodetector responses in the MWP… read more here.
Keywords: volterra series; series; microwave photonic; volterra ... See more keywords
Recursive Geman–McClure Estimator for Implementing Second-Order Volterra Filter
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Circuits and Systems II: Express Briefs"
DOI: 10.1109/tcsii.2018.2875039
Abstract: The second-order Volterra (SOV) filter is a powerful tool for modeling the nonlinear system. The Geman–McClure estimator, whose loss function is non-convex and has been proven to be a robust and efficient optimization criterion for… read more here.
Keywords: mcclure estimator; volterra; mcclure; geman mcclure ... See more keywords
Ocean ecosystem discrete time dynamics generated by ℓ-Volterra operators
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Biomathematics"
DOI: 10.1142/s1793524519500153
Abstract: We consider a discrete-time dynamical system generated by a nonlinear operator (with four real parameters [Formula: see text]) of ocean ecosystem. We find conditions on the parameters under which the operator is reduced to a… read more here.
Keywords: discrete time; volterra; ocean ecosystem; formula see ... See more keywords
A fitted approximate method for a Volterra delay-integro-differential equation with initial layer
Sign Up to like & getrecommendations! Published in 2018 at "Hacettepe Journal of Mathematics and Statistics"
DOI: 10.15672/hjms.2018.582
Abstract: This study is concerned with the finite-difference solution of singularly perturbed initial value problem for a linear first order Volterra integro-differential equation with delay. The method is based on the method of integral identities with… read more here.
Keywords: differential equation; integro differential; method; delay ... See more keywords
Weak existence and uniqueness for affine stochastic Volterra equations with L1-kernels
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DOI: 10.3150/20-bej1284
Abstract: We provide existence, uniqueness and stability results for affine stochastic Volterra equations with $L^1$-kernels and jumps. Such equations arise as scaling limits of branching processes in population genetics and self-exciting Hawkes processes in mathematical finance.… read more here.
Keywords: equations kernels; volterra; volterra equations; existence uniqueness ... See more keywords