Results 41 to 50 of about 203,959 (154)
A complex network perspective on brain disease
ABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
David Papo, Javier M. Buldú
wiley +1 more source
Global dynamics of a non-symmetric cubic Lienard system
In this paper, we study global dynamics of a cubic non-symmetric Lienard system with global parameters, i.e., parameters are not required to be sufficiently small.
SUN Shu-Ting, CHEN Xing-Wu
doaj
Maxwell Fronts in the Discrete Nonlinear Schrödinger Equations With Competing Nonlinearities
ABSTRACT In discrete nonlinear systems, the study of nonlinear waves has revealed intriguing phenomena in various fields such as nonlinear optics, biophysics, and condensed matter physics. Discrete nonlinear Schrödinger (DNLS) equations are often employed to model these dynamics, particularly in the context of Bose–Einstein condensates and optical ...
Farrell Theodore Adriano, Hadi Susanto
wiley +1 more source
NONRESONANT BIFURCATIONS OF HETEROCLINIC LOOPS WITH ONE INCLINATION FLIP
Heteroclinic bifurcations in four-dimensional vector fields are investigated by setting up local coordinates near a heteroclinic loop. This heteroclinic loop consists of two principal heteroclinic orbits, but there is one stable foliation that involves ...
XUYANG ZHANG, JINGJING LI, SHULIANG SHUI
core +1 more source
Globally Exponentially Attracting Sets and Heteroclinic Orbits Revealed
Motivated by the open problems on the global dynamics of the generalized four-dimensional Lorenz-like system, this paper deals with the existence of globally exponentially attracting sets and heteroclinic orbits by constructing a series of Lyapunov ...
Guiyao Ke
doaj +1 more source
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley +1 more source
FPGA Realization of a Novel Hyperchaos Augmented Image Encryption Algorithm
With the rapid growth of multimedia communication, protecting image data has become increasingly critical. This article proposes a novel 3‐stage hyperchaos‐based augmented image encryption technique (3SHAIET) that utilizes a three‐stage process with chaotic systems of increasing dimensionality (e.g., six‐dimensional [6D], 8D, and 9D) to enhance ...
Wassim Alexan +6 more
wiley +1 more source
Kudryashov Expansion Method Applied to Fisher Mathematical Model
We obtain new computational soliton solutions characterized by topological, rational, exponential, trigonometric, and hyperbolic functions for the Fisher equation. Using a good strategy, the Kudryashov expansion method is used to find different dynamical wave structures of soliton solutions within the scope of evolutionary dynamical structures of ...
Elif Deniz Öztürk +3 more
wiley +1 more source
This study investigates a discrete‐time predator–prey model that includes both prey refuge and memory effects. The research identifies the conditions under which fixed points exist and remain stable. A key focus is placed on analyzing different types of bifurcation—such as period doubling (PD), Neimark–Sacker (NS), and strong resonances (1 : 2, 1 : 3 ...
S. M. Sohel Rana +2 more
wiley +1 more source
Some new observations for a stage-structured predator-prey model
A 3D stage-structured predator-prey model, whose necessary and sufficient conditions for the permanence of two species and the extinction of one species or two species were previously obtained, is revisited in this paper.
Li Wei, Li Xianyi
doaj +1 more source

