Computation of the stochastic basin of attraction by rigorous construction of a Lyapunov function [PDF]
, 2019 The y-basin of attraction of the zero solution of a nonlinear stochastic differential equation can be determined through a pair of a local and a non-local Lyapunov function.
Bjoernsson, Hjortur +4 more
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Freezing similarity solutions in multi-dimensional Burgers’ Equation [PDF]
, 2016 The topic of this paper are similarity solutions occurring in multi-dimensional Burgers’ equation. We present a simple derivation of the symmetries appearing in a family of generalizations of Burgers’ equation in d-space dimensions.
Rottmann-Matthes, Jens
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Endogenous control in a ternary lotka-volterra model and its applications [PDF]
, 2015 This paper aims at highlighting the role of endogenous controls in Lotka-Volterra predator-prey models. Unlike other studies in which the core lies in expanding the number of con\ub0icting species, here the stress is laid upon a control variable that ...
Chang, Ting Fa Margherita +3 more
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Numerical analysis of a lumped parameter friction model [PDF]
, 2015 summary:We consider a contact problem of planar elastic bodies. We adopt Coulomb friction as (an implicitly defined) constitutive law. We will investigate highly simplified lumped parameter models where the contact boundary consists of just one point. In
Janovský, Vladimír
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Proposition of a new fitness function: Hadj-said fitness function [PDF]
In the dynamic field of artificial intelligence, genetic algorithms (GAs) offer a powerful approach to solving complex problems by mimicking biological mechanisms such as mutation, crossover, and natural selection.
Ali Pacha, Hana +2 more
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Fractional Order of a New 7D Hyperchaotic Lorenz-like System [PDF]
, 2021 In this paper, a new 7D hyperchaotic Lorenz-like system is proposed with perspective of fractional order. Numerical implementations of this proposed system with specific parameters are investigated and compared with the new 7D continuous hyperchaotic ...
Haspolat, Emrah, Yıldız, Bengi
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Zur Numerik nichtlinearer dynamischer Systeme: Teil 1: Gleichgewichtslösungen [PDF]
, 2010 Der Beitrag stellt die wesentlichen Algorithmen vor, die der Berechnung und Analyse von Gleichgewichtslösungen nichtlinearer dynamischer Systeme – beschrieben durch gewöhnliche Differenzialgleichungen – dienen.
Vogt, Werner
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Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. II. Indirect approximation [PDF]
, 2002 In this paper we continue the study initiated in our previous work [3] and design a projection-like algorithm to approximate a hyperbolic unstable "point''. This "point'' is in fact the positive solution of the reaction-diffusion problem considered in [3]
Călin Ioan Gheorghiu, Damian Trif
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, 2023 We guide the reader on a journey through mathematical modeling and numerical analysis, emphasizing the crucial interplay of both disciplines. Targeting undergraduate students with basic knowledge in dynamical systems and numerical methods for ordinary ...
Ranocha, Hendrik, Reisch, Cordula
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Freezing traveling and rotatingwaves in second order evolution equations [PDF]
, 2016 In this paper we investigate the implementation of the so-called freezing method for second order wave equations in one and several space dimensions. The method converts the given PDE into a partial differential algebraic equation which is then solved ...
Beyn, Wolf-Jürgen +2 more
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