Results 11 to 20 of about 2,574 (114)
When does cyclic dominance lead to stable spiral waves? [PDF]
, 2012 Species diversity in ecosystems is often accompanied by characteristic spatio-temporal patterns. Here, we consider a generic two-dimensional population model and study the spiraling patterns arising from the combined effects of cyclic dominance of three ...
Alastair M. Rucklidge +17 more
core +2 more sources
Two-dimensional structures in the quintic Ginzburg-Landau equation [PDF]
, 2014 By using ZEUS cluster at Embry-Riddle Aeronautical University we perform extensive numerical simulations based on a two-dimensional Fourier spectral method Fourier spatial discretization and an explicit scheme for time differencing) to find the range of ...
Bérard, Florent +2 more
core +3 more sources
Efficient Gluing of Numerical Continuation and a Multiple Solution Method for Elliptic PDEs
, 2014 Numerical continuation calculations for ordinary differential equations (ODEs) are, by now, an established tool for bifurcation analysis in dynamical systems theory as well as across almost all natural and engineering sciences. Although several excellent
Kuehn, Christian
core +1 more source
Periodic solutions to a mean-field model for electrocortical activity
, 2014 We consider a continuum model of electrical signals in the human cortex, which takes the form of a system of semilinear, hyperbolic partial differential equations for the inhibitory and excitatory membrane potentials and the synaptic inputs. The coupling
Green, Kevin, van Veen, Lennaert
core +1 more source
Block-diagonalization of the linearized coupled-mode system [PDF]
, 2005 We consider the Hamiltonian coupled-mode system that occur in nonlinear optics, photonics, and atomic physics. Spectral stability of gap solitons is determined by eigenvalues of the linearized coupled-mode system, which is equivalent to a four-by-four ...
Chugunova, M., Pelinovsky, D.
core +2 more sources
Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
Symmetry breaking, mixing, instability, and low frequency variability in a minimal Lorenz-like system [PDF]
, 2008 Starting from the classical Saltzman two-dimensional convection equations, we derive via a severe spectral truncation a minimal 10 ODE system which includes the thermal effect of viscous dissipation.
Fraedrich, Klaus, Lucarini, Valerio
core +2 more sources
Advanced Science, Volume 13, Issue 16, 18 March 2026.Metastatic invasion emerges when tumor‐intrinsic programs and microenvironmental forces converge on mitochondrial quality control. A context‐stratified framework links mtROS, mtDNA integrity, mechanics and nutrient/oxygen cues to fission–fusion remodeling, mtUPR and mitophagy.
Bin‐Hsu Mao +3 more
wiley +1 more source
Bifurcation Analysis of Reaction Diffusion Systems on Arbitrary Surfaces
, 2016 In this paper we present computational techniques to investigate the solutions of two-component, nonlinear reaction-diffusion (RD) systems on arbitrary surfaces.
Dhillon, Daljit Singh J. +2 more
core +2 more sources
Left-invariant evolutions of wavelet transforms on the Similitude Group [PDF]
, 2013 Enhancement of multiple-scale elongated structures in noisy image data is relevant for many biomedical applications but commonly used PDE-based enhancement techniques often fail at crossings in an image.
Duits, R., Sharma, U.
core +4 more sources