Results 61 to 70 of about 1,068 (186)

Bifurcations of Nonconstant Solutions of the Ginzburg‐Landau Equation [PDF]

Abstract and Applied Analysis, 2012
We study local and global bifurcations of nonconstant solutions of the Ginzburg‐Landau equation from the families of constant ones. As the topological tools we use the equivariant Conley index and the degree for equivariant gradient maps.
Hirano, Norimichi, Rybicki, Sławomir
openaire   +4 more sources

Homogenization of Attractors to Ginzburg-Landau Equations in Media with Locally Periodic Obstacles: Sub- and Supercritical Cases

Қарағанды университетінің хабаршысы. Математика сериясы
The Ginzburg-Landau equation with rapidly oscillating terms in the equation and boundary conditions in a perforated domain was considered. Proof was given that the trajectory attractors of this equation converge weakly to the trajectory attractors of ...
K.A. Бекмаганбетов, Г.А. Чечкин, В.В. Чепыжов, A.А. Толемис   +3 more
doaj   +1 more source

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, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Bistability in the complex Ginzburg–Landau equation with drift [PDF]

Physica D: Nonlinear Phenomena, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Houghton, S.M., Tobias, S.M., Knobloch, E., Proctor, M.R.E.   +3 more
openaire   +2 more sources

New Analytical Solutions of Fractional Complex Ginzburg-Landau Equation

Universal Journal of Mathematics and Applications, 2020
In recent years, nonlinear concepts have attracted a lot of attention due to the deep mathematics and physics they contain. In explaining these concepts, nonlinear differential equations appear as an inevitable tool.
Ali Tozar
doaj   +1 more source

A Polar Topology Network Induces Elastic Stiffening in Ferroelectric Oxide Superlattices

Small, EarlyView.
The periodicity in BiFeO3/SrTiO3 superlattices tunes the system into a dense, elastically constrained polar texture state. This topology‐rich regime reveals a collective mechanical response in which interactions among polar topological defects restrict local deformations, producing a pronounced elastic stiffening.
Mohammad Moein Seyfouri, Peiran Tong, Yoonah Ko, Menghui Xia, Qi Zhang, Zijian Hong, Bin Xu, Seungbum Hong, He Tian, Nagarajan Valanoor, Daniel Sando   +10 more
wiley   +1 more source

Elementary Steps of Energy Conversion in Strongly Correlated Systems: Beyond Single Quasiparticles and Rigid Bands

ENERGY &ENVIRONMENTAL MATERIALS, Volume 9, Issue 6, November 2026.
This article reviews the fundamental consequences of strong correlations on excitations and elementary steps of energy conversion leading to new opportunities to control energy conversion. Examples include friction at surfaces, thermal transport, and photovoltaic energy conversion.
Vasily Moshnyaga, Peter E. Blöchl, Vitaly Bruchmann‐Bamberg, Annika Dehning, Lukas Allen‐Rump, Christopher Hausmann, Matthias Krüger, Amrith Rathnakaran, Sangeeta Rajpurohit, Daniel Steil, Christoph Flathmann, Jörg Hoffmann, Michael Seibt, Cynthia Volkert, Christian Jooss   +14 more
wiley   +1 more source

Unified Phase‐Field Framework for Antiferroelectric, Ferroelectric and Dielectric Phases: Application to HZO Thin Films

Advanced Functional Materials, Volume 36, Issue 77, 24 September 2026.
HfxZr1−xO2${\rm Hf}_x{\rm Zr}_{1-x}{\rm O}_2$ offers CMOS‐compatible nanoscale ferroelectricity yet suffers from a high Ec${\rm E}_c$ demanding large operating voltages. A unified phase‐field framework spanning AFE/FE/DE phases shows how FE grains soften neighboring AFE grains over λ$\lambda$ ≈$\approx$ 22–37 nm.
P. Pankaj, Sandeep Sugathan, Jiyoung Kim, Si Joon Kim, Pil‐Ryung Cha   +4 more
wiley   +1 more source

Random attractors for Ginzburg–Landau equations driven by difference noise of a Wiener-like process

Advances in Difference Equations, 2019
We consider a Wong–Zakai process, which is the difference of a Wiener-like process. We then prove that there are random attractors for non-autonomous Ginzburg–Landau equations driven by linear multiplicative noise in terms of Wong–Zakai process and ...
Fengling Wang, Jia Li, Yangrong Li
doaj   +1 more source

Strain‐Adaptive Dielectric Metamaterials via Bioinspired “Ligament‐Bone” Architecture for Ultrahigh‐Energy Capacitive Storage

Advanced Science, Volume 13, Issue 52, 18 September 2026.
A bioinspired strain‐adaptive ligament‐bone architecture achieves record‐high energy density of 26.1 J cm−3 and 90% efficiency at 600 MV m−1, coupled with a Young's modulus of 2.13 GPa. ABSTRACT Polymer dielectrics for capacitive energy storage face fundamental trade‐offs between breakdown strength, energy density, efficiency, and mechanical robustness.
Jian Wang, Xinyu Wang, Jiabao Wang, Biyun Peng, Yifei Zhang, Ning Zhu, Xin Hu   +6 more
wiley   +1 more source