Results 91 to 100 of about 20,694 (296)

Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors

, 2013
We consider two dimensional maps preserving a foliation which is uniformly contracting and a one dimensional associated quotient map having exponential convergence to equilibrium (iterates of Lebesgue measure converge exponentially fast to physical ...
A Gorodnik, C Bonatti, C Pugh, C Pugh, CA Morales, CA Morales, CT Ionescu-Tulcea, D Ruelle, D Sullivan, DH Kim, DV Anosov, DY Kleinbock, EN Lorenz, G Keller, I Kontoyiannis, J Guckenheimer, J Palis, J Palis, JS Athreya, M Brin, M Pollicott, M Shub, Maria José Pacifico, N Gourmelon, PC Shields, R Hill, R Metzger, S Galatolo, S Galatolo, S Galatolo, S Galatolo, S Galatolo, S Galatolo, Stefano Galatolo, T Steinberger, V Araujo, V Araújo, Vitor Araújo, VS Afraimovich, VS Afraimovich, Y Pesin   +40 more
core   +1 more source

Closed cosmologies with a perfect fluid and a scalar field [PDF]

, 2000
Closed, spatially homogeneous cosmological models with a perfect fluid and a scalar field with exponential potential are investigated, using dynamical systems methods. First, we consider the closed Friedmann-Robertson-Walker models, discussing the global
A. A. Coley, A. A. Coley, A. B. Burd, A. P. Billyard, A. P. Billyard, Alan Coley, C. B. Collins, C. Uggla, E. J. Copeland, H. Ringström, J. J. Halliwell, J. Wainwright, J. Wainwright, M. B. Green, M. Goliath, M. Goliath, Martin Goliath, N. Kaloper, O. I. Bogoyavlensky, R. J. van den Hoogen, R. J. van den Hoogen, X. F. Lin, X. F. Lin, Y. Kitada, Y. Kitada   +24 more
core   +2 more sources

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

Characteristic distributions of finite-time Lyapunov exponents

, 1999
We study the probability densities of finite-time or \local Lyapunov exponents (LLEs) in low-dimensional chaotic systems. While the multifractal formalism describes how these densities behave in the asymptotic or long-time limit, there are significant ...
A. J. Lichtenberg, A. Prasad, A. Wolf, A.S. Pikovsky, Awadhesh Prasad, C. Amitrano, C. Beck, D. Beigie, E. Ott, E. Ott, E.S.C. Ching, F. Calvo, H. Fujisaka, H.D.I. Abarbanel, J. Crutchfield, Jayesh, M.A. Sepúlveda, P. Collet, P. Grassberger, R. Benzi, R. Benzi, Ramakrishna Ramaswamy, S. Grossmann, V. Mehra, X.J. Wang, X.J. Wang   +25 more
core   +2 more sources

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

Exploring Dipolar Dynamics and Ionic Transport in Metal‐Organic Frameworks: Experimental and Theoretical Insights

Advanced Functional Materials, EarlyView.
In this study, the interplay of dipolar dynamics and ionic charge transport in MOF compounds is investigated. Synthesizing the novel structure CFA‐25 with integrated freely rotating dipolar groups, local and macroscopic effects, including interactions with Cs cations are explored.
Ralph Freund, Arthur Schulz, Peter Lunkenheimer, Maryana Kraft, Thomas Bergler, Harald Oberhofer, Dirk Volkmer   +6 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

Pentagonal 2D Altermagnets: Material Screening and Altermagnetic Tunneling Junction Device Application

Advanced Functional Materials, EarlyView.
From a database of 170 pentagonal 2D materials, 4 candidates exhibiting altermagnetic ordering are screened. Furthermore, the spin‐splitting and unconventional boundary states in the pentagonal 2D altermagnetic monolayer MnS2 are investigated. A MnS2‐based altermagnetic tunneling junction is designed and, through ab initio quantum transport simulations,
Jianhua Wang, Xingyue Yang, Zongmeng Yang, Jing Lu, Pin Ho, Wenhong Wang, Yee Sin Ang, Zhenxiang Cheng, Shibo Fang   +8 more
wiley   +1 more source

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

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