Search
Search Results
-
The Attractor-Based Search System
This chapter describes the attractor-based search system, which search process is carried out by two search phases: the local search phase and the...
-
Analysis of the Attractor-Based Search System
This chapter analyzes the search behavior of the ABSS in detail to answer three fundamental questions for the ABSS: (1) how can we construct the edge...
-
Attractor for minimal iterated function systems
In the present work, we study the attractors of iterated function systems (IFSs) on compact metric spaces. We prove that the whole of the phase space...
-
Highly Non-contractive Iterated Function Systems on Euclidean Space Can Have an Attractor
Iterated function systems (IFSs) and their attractors have been central to the theory of fractal geometry almost from its inception. Moreover,...
-
Towards the Salinity Profile Influence on an Internal Wave Attractor Formation
A wave attractor is a peculiar hydrodynamic structure that forms under certain conditions, including vertical stratification of water. Previous...
-
Fractal Dimension of Random Attractor for a Stochastic Lattice System with White Noise
In this paper, it was studied the finite fractal dimension of random attractor for the stochastic Klein-Gordon-Schrödinger (KGS) lattice equation...
-
Invariant Manifolds. Global Attractor of a Generalized Version of the Nonlocal Ginzburg–Landau Equation
We consider a generalized nonlocal Ginzburg–Landau equation with periodic boundary conditions. For the corresponding initial-boundary value problem...
-
Stability Under Perturbations for the Attractor of a Dissipative PDF-ODF-Type System
We consider a dissipative evolutionary system formed by a parabolic system of reaction-diffusion type and a system of ordinary differential equations...
-
Several Continuities of a Pullback Random Attractor for Stochastic Non-Autonomous Zakharov Lattice Equations
We study the dynamics of stochastic Zakharov lattice equations driven by multiplicative white noise and time-dependent forces. We first deduce a...
-
Strong solutions and attractor dimension for 2D NSE with dynamic boundary conditions
We consider incompressible Navier–Stokes equations in a bounded 2D domain, complete with the so-called dynamic slip boundary conditions. Assuming...
-
Stability Conditions and the Mirror Symmetry of K3 Surfaces in Attractor Backgrounds
We study the space of stability conditions on K 3 surfaces from the perspective of mirror symmetry. This is done in the attractor backgrounds...
-
Forwards Attractor Structures in a Planar Cooperative Non-autonomous Lotka–Volterra System
The global attractor of a dissipative dynamical system provides the necessary information to understand the asymptotic dynamics of all the system’s...
-
Robust Stability of the Attractor of a Nonlinear Wave Equation Without Uniqueness of the Solution
We study the qualitative behavior of a nonlinear wave equation with nonsmooth interaction function subjected to the action of external bounded...
-
Invariant Manifolds and Global Attractor of the Ginzburg–Landau Integro-Differential Equation
AbstractWe consider a periodic boundary value problem for the complex Ginzburg–Landau integro-differential equation. It can be interpreted as a...
-
There are No Structural Stable Axiom A 3-Diffeomorphisms with Dynamics “One-dimensional Surfaced Attractor-repeller”
In this paper, we study the structural stability of three-dimensional diffeomorphisms with source-sink dynamics. Here the role of source and sink is...
-
Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Dam** on Riemannian Manifolds
In this paper, we consider the long time behavior for a coupled system on Riemannian manifold consisting of the plate equation and the wave equation...
-
Viral Infection Model with Diffusion and Distributed Delay: Finite-Dimensional Global Attractor
We study a virus dynamics model with reaction-diffusion, logistic growth terms and a general non-linear infection rate functional response. The model...
-
Hidden modalities of spirals of chaotic attractor via saturated function series and numerical results
This paper investigates the hidden modalities of an odd number of spirals in the multispiral chaotic attractor generated by saturated function...
-
The Well-posedness and the Regularity of Global Attractor for a Couple Stress Fluid Through Porous Layer with the Local Thermal Non-equilibrium Effect
In the article, we aim to investigate the well-posedness of solution and the regularity of the global attractor for the couple stress fluid in...
