Zobrazeno 1 - 10
of 141
pro vyhledávání: '"65p40"'
This article presents a novel numerically tractable technique for synthesizing Lyapunov functions for equilibria of nonlinear vector fields. In broad strokes, corresponding to an isolated equilibrium point of a given vector field, a selection is made
Externí odkaz:
http://arxiv.org/abs/2307.12661
Publikováno v:
Mathematics in Engineering 6(2) (2024) 363-393
In this paper we introduce a bulk-surface reaction-diffusion (BSRD) model in three space dimensions that extends the DIB morphochemical model to account for the electrolyte contribution in the application, in order to study structure formation during
Externí odkaz:
http://arxiv.org/abs/2307.05285
Autor:
Reisch, Cordula, Ranocha, Hendrik
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 ordinar
Externí odkaz:
http://arxiv.org/abs/2304.02365
Autor:
Pötzsche, Christian
Integrodifference equations are versatile models in theoretical ecology for the spatial dispersal of species evolving in non-overlapping generations. The dynamics of these infinite-dimensional discrete dynamical systems is often illustrated using com
Externí odkaz:
http://arxiv.org/abs/2209.01804
In order to determine the dynamics of nonautonomous equations both their forward and pullback behavior need to be understood. For this reason we provide sufficient criteria for the existence of such attracting invariant sets in a general setting of n
Externí odkaz:
http://arxiv.org/abs/2205.05544
The paper studies numerical methods that preserve a Lyapunov function of a dynamical system, i.e. numerical approximations whose energy decreases, just like in the original differential equation. With this aim, a discrete gradient method is implement
Externí odkaz:
http://arxiv.org/abs/2204.11225
We introduce a numerical technique for controlling the location and stability properties of Hopf bifurcations in dynamical systems. The algorithm consists of solving an optimization problem constrained by an extended system of nonlinear partial diffe
Externí odkaz:
http://arxiv.org/abs/2201.11684
Autor:
Yao, Yian, De La Llave, Rafael
We present and implement an algorithm for computing the invariant circle and the corresponding stable manifolds for 2-dimensional maps. The algorithm is based on the parameterization method, and it is backed up by an a-posteriori theorem established
Externí odkaz:
http://arxiv.org/abs/2110.15893
Many problems in engineering can be understood as controlling the bifurcation structure of a given device. For example, one may wish to delay the onset of instability, or bring forward a bifurcation to enable rapid switching between states. We propos
Externí odkaz:
http://arxiv.org/abs/2105.14884
Autor:
Caracciolo, Chiara, Locatelli, Ugo
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation, Volume 97, June 2021
We revisit an algorithm constructing elliptic tori, that was originally designed for applications to planetary hamiltonian systems. The scheme is adapted to properly work with models of chains of $N+1$ particles interacting via anharmonic potentials,
Externí odkaz:
http://arxiv.org/abs/2102.05908