Results 31 to 40 of about 5,681 (163)
Abstract Basins of Attraction [PDF]
, 2015 Abstract basins appear naturally in different areas of several complex variables. In this survey we want to describe three different topics in which they play an important role, leading to interesting open problems.
openaire +4 more sources
Discrete Dynamics in Nature and Society, 2015 We consider the following system of difference equations: xn+1=xn2/B1xn2+C1yn2, yn+1=yn2/A2+B2xn2+C2yn2, n=0, 1, …, where B1, C1, A2, B2, C2 are positive constants and x0, y0≥0 are initial conditions.
A. Brett, M. R. S. Kulenović
doaj +1 more source
On Targeted Control over Trajectories of Dynamical Systems Arising in Models of Complex Networks
Mathematics, 2023 The question of targeted control over trajectories of systems of differential equations encountered in the theory of genetic and neural networks is considered. Examples are given of transferring trajectories corresponding to network states from the basin
Diana Ogorelova +2 more
doaj +1 more source
Applied Sciences, 2021 The paper aims to investigate the basin of attraction map of a complex Vehicle Routing Problem with random walk analysis. The Vehicle Routing Problem (VRP) is a common discrete optimization problem in field of logistics.
Anita Agárdi +2 more
doaj +1 more source
A New Three-Step Root-Finding Numerical Method and Its Fractal Global Behavior
Fractal and Fractional, 2021 There is an increasing demand for numerical methods to obtain accurate approximate solutions for nonlinear models based upon polynomials and transcendental equations under both single and multivariate variables. Keeping in mind the high demand within the
Asifa Tassaddiq +5 more
doaj +1 more source
Estimation of the basin of attractions in CNNs
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1998 Summary: A technique is discussed in order to find an estimation of the basin of attraction for each stable equilibrium point in cellular neural networks. The technique is based on the determination of the direction of the trajectories for each of the regions in which the state space is devided via the piecewise linear output function of each cell.
Mladenov, V.M. +2 more
openaire +1 more source
BIFURCATION ANALYSIS AND COEXISTENCE OF MULTIPLE ATTRACTORS OF A ROLLING BEARING-ROTOR SYSTEM
Jixie qiangdu, 2022 Taking the unbalanced rotor system supported by rolling bearings as the research object, the variable step size Runge-Kutta method is used for numerical integration to obtain the dynamic response of the rotor system. According to the bifurcation diagrams,
AN HuiNing +3 more
doaj
An automatic dynamic balancer in a rotating mechanism with time-varying angular velocity
Results in Applied Mathematics, 2019 We consider the system of a two ball automatic dynamic balancer attached to a rotating disc with nonconstant angular velocity. We directly compare the scenario of constant angular velocity with that when the acceleration of the rotor is taken into ...
James A. Wright, Linyu Peng
doaj +1 more source
The Dynamics of a Continuous Newton-like Method
Mathematics, 2022 The objective of the current work is to invent and introduce the continuous version of Newton’s method. This scheme is used to establish some interesting properties with examples.
Manoj K. Singh, Ioannis K. Argyros
doaj +1 more source
Basins of attraction for chimera states
New Journal of Physics, 2016 Please see Ancillary files for the 4 supplementary videos including description (PDF)
Martens, Erik Andreas +2 more
openaire +5 more sources