Results 81 to 90 of about 20,865 (289)

Relaxation, closing probabilities and transition from oscillatory to chaotic attractors in asymmetric neural networks

, 1998
Attractors in asymmetric neural networks with deterministic parallel dynamics were shown to present a "chaotic" regime at symmetry eta < 0.5, where the average length of the cycles increases exponentially with system size, and an oscillatory regime at ...
Amit D J, Bastolla U, Bastolla U, Bastolla U, Bastolla U, Crisanti A, Derrida B, Derrida B, Derrida B, Ferraro G, Flyvbjerg H, Gardner E, Giorgio Parisi, Goles E, Gutfreund H, Hertz J, Hopfield J J, Iori G, Kauffman S A, Kauffman S A, Kauffman S A, Nützel K, Nützel K, Parisi G, Parisi G, Peretto P, Pfenning T, Rieger H, Rieger H, Scharnagl A, Schreckenberg M, Spitzner P, Ugo Bastolla   +32 more
core   +1 more source

Rafting of Ni‐Based Superalloys Under Multiaxial Load as Understood by Phase‐Field Simulations and Critical Experiments

Advanced Engineering Materials, EarlyView.
Phase‐field simulations coupled with dislocation‐density‐based crystal plasticity modeling reproduce γ′ rafting behavior in single‐crystal Ni‐based superalloys under varied loading conditions. The model captures both macroscopic creep and microscopic morphology evolution, with results matching high‐temperature creep experiments.
Micheal Younan, David Bürger, Gunther Eggeler, Oleg Shchyglo, Ingo Steinbach, Muhammad Adil Ali   +5 more
wiley   +1 more source

Robust exponential attractors for singularly perturbed Hodgkin–Huxley equations

Journal of Differential Equations, 2009
A. L. Hedgkin and A. F. Huxley formulated the mathematical model describing the mechanism of the neural excitability. In this paper a singular perturbation of the associated dynamical system is considered: \[ \begin{aligned}\varepsilon u_{tt}+ (1+\varepsilon f_3(w))u_t- u_{xx}= -f_1(w)u+ f_2(w)+\varepsilon g(w,u)\quad &\text{in } Q,\\ w_t= -h_1(u)w ...
CAVATERRA C, GRASSELLI, MAURIZIO
openaire   +3 more sources

A recent appreciation of the singular dynamics at the edge of chaos

, 2005
We study the dynamics of iterates at the transition to chaos in the logistic map and find that it is constituted by an infinite family of Mori's $q$-phase transitions.
A. Robledo, A. Robledo, B. Shraiman, C. Tsallis, C. Tsallis, C. Tsallis, C. Tsallis, F. Baldovin, F. Baldovin, F. Baldovin, G. Anania, H. Mori, H.G. Schuster, J. Crutchfield, J.P. Bouchaud, J.P. Crutchfield, M.J. Feigenbaum, M.L. Lyra, P.-F. Verhulst, P.G. Benedetti De, T. Horita   +20 more
core   +1 more source

Fatigue Crack Initiation and Growth in Nanocrystalline Ni at Multiple Length‐Scales

Advanced Engineering Materials, EarlyView.
Overview of miniaturized in situ SEM fatigue setup and resultant fatigue crack growth data for nanocrystalline Ni. The presented study focuses on the analysis of fatigue crack growth rate (FCGR) in focused ion beam‐notched microcantilevers prepared from nanocrystalline (NC) Ni as a model material.
Igor Moravcik, Alexander Jelinek, Markus Alfreider, Jutta Luksch, Anton Hohenwarter, Florian Schaefer, Christian Motz, Daniel Kiener   +7 more
wiley   +1 more source

The Complexity of Folding Self-Folding Origami

Physical Review X, 2017
Why is it difficult to refold a previously folded sheet of paper? We show that even crease patterns with only one designed folding motion inevitably contain an exponential number of “distractor” folding branches accessible from a bifurcation at the flat ...
Menachem Stern, Matthew B. Pinson, Arvind Murugan   +2 more
doaj   +1 more source

Cosmological dynamics of scalar fields with O(N) symmetry

, 2004
In this paper, we study the cosmological dynamics of scalar fields with O(N) symmetry in general potentials. We compare the phase space of the dynamical systems of the quintessence and phantom and give the conditions for the existence of various ...
Carroll S M, Coble K, Copeland E J, Hao J G, Hao J G, Hao J G, Jian-Gang Hao, Li X Z, Li X Z, Melchiorri A, Peebles P J E, Ratra B, Singh P, Steinhardt P J, Xin-Zhou Li   +14 more
core   +1 more source

Creep Properties and Deformation Mechanism of Additively Manufactured NiAl‐CrMo Composites

Advanced Engineering Materials, EarlyView.
Additively manufactured NiAl‐CrMo composites contain numerous interfaces and cell boundaries that control their creep response. At 700°C under high applied stress, creep is dominated by dislocation‐controlled power‐law mechanisms. At 800°C–900°C and lower stresses, creep is primarily diffusion‐controlled along cell boundaries.
Jan Vollhüter, Andreas Bezold, Johan Westraadt, Katharina Fiegl, Subham Chattoraj, Benjamin Wahlmann, Carolin Körner, Michael Mills, Mathias Göken, Steffen Neumeier   +9 more
wiley   +1 more source

Exponential Attractor for Lattice System of Nonlinear Boussinesq Equation

Discrete Dynamics in Nature and Society, 2013
We study the lattice dynamical system of a nonlinear Boussinesq equation. We first verify the Lipschitz continuity of the continuous semigroup associated with the system. Then, we provide an estimation of the tail of the difference between two solutions of the system. Finally, we obtain the existence of an exponential attractor of the system.
Min Zhao, Shengfan Zhou
openaire   +3 more sources

Evaluation of Plasticity and Creep Parameters From Tensile Stress–Strain Data for a Range of Strain Rates

Advanced Engineering Materials, EarlyView.
This plot compares experimental tensile stress–strain curves (with 4 different strain rates) and corresponding modelled curves (obtained using the optimised sets of Voce and Miller–Norton parameter values shown). The inferred M‐N values, characterizing the creep, are very similar to those obtained via conventional creep testing.
S. Ooi, R. P. Thompson, T. W. Clyne
wiley   +1 more source