Results 41 to 50 of about 328 (171)
Creation of single-wing Lorenz-like attractors via a ten-ninths-degree term
In light of the subtle connection between the strange attractors and the degree of dynamical systems, in this study, we propose a new simple asymmetric Lorenz-like system and report the finding of single-wing Lorenz-like attractors, which can also be ...
Pan Jun +3 more
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Multiple front and pulse solutions in spatially periodic systems
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley +1 more source
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
Heteroclinic Orbits for Singular Hamiltonian Systems
We are concerned with the existence of heteroclinic orbits for singular Hamiltonian systems of second order $\ddot{q}(t) + \nabla V(t, \,q)=0 $ where $V(t,\,q)$ is periodic in $t$ and has a singularity at a~point~${q=e}$. Suppose $V$ possesses a global maximum $\overline V$ on $\mathbb R \times \mathbb R ^N\setminus\{e\}$ and $V(t,\,x)= \overline{V ...
Antabli, Mohamed, Boughariou, Morched
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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
Heteroclinic orbits in a model for Langmuir circulations
Abstract Numerical studies of a 5-mode model for Langmuir circulations show the existence if two fundamentally different types of heteroclinic orbits and period-doubling bifurcations. The first is common to other models of competing instabilities; the second is quite new and appears to be related to the quintic Duffing equation.
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Heteroclinic Orbits in Systems with Slowly Varying Coefficients
The authors consider the system (*) \(\dot\xi=f(\xi,\eta,\varepsilon)\), \(\dot \eta=\varepsilon g(\xi,\eta,\varepsilon)\) with \(\xi\in\mathbb{R}^ n\), \(\eta\in\mathbb{R}^ m\), \(f\) and \(g\) smooth and bounded. They assume that for each \(\eta\), \(\dot\xi=f(\xi,\eta,0)\) has two hyperbolic equilibria \(u^ -(\eta)\) and \(u^ +(\eta)\) of the same ...
Battelli, F., Lazzari, C.
openaire +2 more sources
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
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

