Results 51 to 60 of about 5,334 (147)

Localization in inelastic rate dependent shearing deformations

, 2016
Metals deformed at high strain rates can exhibit failure through formation of shear bands, a phenomenon often attributed to Hadamard instability and localization of the strain into an emerging coherent structure.
Katsaounis, Theodoros, Lee, Min-Gi, Tzavaras, Athanasios   +2 more
core   +1 more source

Nonlocal Cooperative Behavior, Psychological Effects, and Collective Decision‐Making: An Exemplification With Predator–Prey Models

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12011-12037, August 2025.
ABSTRACT In bio‐social models, cooperative behavior has evolved as an adaptive strategy, playing multi‐functional roles. One of such roles in populations is to increase the success of the survival and reproduction of individuals and their families or social groups.
Sangeeta Saha, Swadesh Pal, Roderick Melnik   +2 more
wiley   +1 more source

Spiralling dynamics near heteroclinic networks [PDF]

, 2013
There are few explicit examples in the literature of vector fields exhibiting complex dynamics that may be proved analytically. We construct explicitly a {two parameter family of vector fields} on the three-dimensional sphere $\EU^3$, whose flow has a ...
Address Of Alex, Alexandre A. P. Rodrigues, Alexandre A. P. Rodrigues, Isabel, Isabel S. Labouriau, Isabel S. Labouriau, Re A. P. Rodrigues, S. Labouriau   +7 more
core   +1 more source

Heterogeneously Structured Compartmental Models of Epidemiological Systems: From Individual‐Level Processes to Population‐Scale Dynamics

Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.
ABSTRACT We develop a general modeling framework for compartmental epidemiological systems structured by continuous variables which are linked to the levels of expression of compartment‐specific traits. We start by formulating an individual‐based model that describes the dynamics of single individuals in terms of stochastic processes. Then, we formally
Emanuele Bernardi, Tommaso Lorenzi, Mattia Sensi, Andrea Tosin   +3 more
wiley   +1 more source

Stability of N‐front and N‐back solutions in the Barkley model

GAMM-Mitteilungen, Volume 48, Issue 1, March 2025.
ABSTRACT In this article, we establish for an intermediate Reynolds number domain the stability of N$$ N $$‐front and N$$ N $$‐back solutions for each N>1$$ N>1 $$ corresponding to traveling waves, in an experimentally validated model for the transition to turbulence in pipe flow proposed in [Barkley et al., Nature 526(7574):550‐553, 2015]. We base our
Christian Kuehn, Pascal Sedlmeier
wiley   +1 more source

Analysis of Tangential Nonlinear Vibration on Machine Hydrostatic Slide

Shock and Vibration, 2019
In this paper, the nonlinear dynamic responses of the hydrostatic slide were investigated and the effects of damping and external force to control the vibration system were discussed.
Zhongkui Zhang, Feng Gao, Yan Li, Han Zhang   +3 more
doaj   +1 more source

On the state space geometry of the Kuramoto-Sivashinsky flow in a periodic domain

, 2009
The continuous and discrete symmetries of the Kuramoto-Sivashinsky system restricted to a spatially periodic domain play a prominent role in shaping the invariant sets of its chaotic dynamics. The continuous spatial translation symmetry leads to relative
Evangelos Siminos, Foias C., Jolly M., Kuramoto Y., Predrag Cvitanović, Ruslan L. Davidchack   +5 more
core   +1 more source

A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations [PDF]

, 2011
The purpose of this paper is to enhance a correspondence between the dynamics of the differential equations $\dot y(t)=g(y(t))$ on $\mathbb{R}^d$ and those of the parabolic equations $\dot u=\Delta u +f(x,u,\nabla u)$ on a bounded domain $\Omega$.
Abraham R., Angenent S. B., Angenent S. B., Angenent S. B., Anosov D. V., Arroyo A., Bendixson I., Bonatti C., Bonatti C., Bonatti C., Brunovský P., Brunovský P., Brunovský P., Brunovský P., Chen X.-Y., Crovisier S., Czaja R., Dancer E. N., Fiedler B., Fiedler B., Fiedler B., Fiedler B., Fiedler B., Fusco G., Fusco G., Fusco G., Fusco G., Galaktianov V. A., GENEVIÈVE RAUGEL, Ghrist R. W., Guckenheimer J., Hale J. K., Hale J. K., Hardt R., Hayashi S., Henry D., Henry D. B., Hirsch M. W., Hirsch M. W., Hirsch M. W., Hirsch M. W., Jolly M., Joly R., Joly R., Joly R., Mallet-Paret J., Matano H., Matano H., Matano H., Newhouse S. E., Nickel K., Nitecki Z., Palis J., Peixoto M. M., Peixoto M. M., Poláčik P., Poláčik P., Poláčik P., Poláčik P., Prizzi M., Pugh C. C., Pugh C. C., Pugh C. C., Pujals E. R., Robinson C., Robinson J. C., Rocha C., Rocha C., ROMAIN JOLY, Ruelle D., Sandstede B., Smale S., Smale S., Smale S., Smale S., Smillie J., Smith H. L., Smith H. L., Sturm C., Wolfrum M.   +79 more
core   +4 more sources

A Multiparameter Singular Perturbation Analysis of the Robertson Model

Studies in Applied Mathematics, Volume 154, Issue 2, February 2025.
ABSTRACT The Robertson model describing a chemical reaction involving three reactants is one of the classical examples of stiffness in ODEs. The stiffness is caused by the occurrence of three reaction rates k1,k2,${k}_{1},{k}_{2},$ and k3,${k}_{3},$ with largely differing orders of magnitude, acting as parameters.
Lukas Baumgartner, Peter Szmolyan
wiley   +1 more source

Creation of single-wing Lorenz-like attractors via a ten-ninths-degree term

Open Physics
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, Wang Haijun, Ke Guiyao, Hu Feiyu   +3 more
doaj   +1 more source