Results 81 to 90 of about 20,660 (272)

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

Intramolecular Down‐ and Up‐Conversion in Dimeric Tetracene Complexes Centered via Platinum(II) and Palladium(II)

Advanced Functional Materials, EarlyView.
Metal‐tetracene dimeric complexes are synthesized through the pyridyl coordination to either Pt(II) or Pd(II). Photophysical properties are systematically compared as a function of the metal using steady‐state and time‐resolved spectroscopy. The Pt(II) dimer exhibits efficient intramolecular singlet fission and subsequent intramolecular up‐conversion ...
Yifan Bo, Yuxuan Hou, Melchor Matabuena, Rik R. Tykwinski, Dirk M. Guldi   +4 more
wiley   +1 more source

A test for a conjecture on the nature of attractors for smooth dynamical systems

, 2014
Dynamics arising persistently in smooth dynamical systems ranges from regular dynamics (periodic, quasiperiodic) to strongly chaotic dynamics (Anosov, uniformly hyperbolic, nonuniformly hyperbolic modelled by Young towers).
Afraĭmovič V. S., Benedicks M., Georg A. Gottwald, Ian Melbourne, Lorenz E., Palis J., Ruelle D.   +6 more
core   +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

Copper‐based Materials for Photo and Electrocatalytic Process: Advancing Renewable Energy and Environmental Applications

Advanced Functional Materials, EarlyView.
Cu‐based catalysts as a cornerstone in advancing sustainable energy technologies are fully reviewed in this manuscript, highlighting their potential in photo‐ and electrocatalysis. It includes metallic copper, copper oxides, copper sulfides, copper halide perovskites, copper‐based metal–organic frameworks (MOFs), and covalent organic frameworks (COFs),
Jéssica C. de Almeida, Yanjie Wang, Thais A. Rodrigues, Paulo H. H. Nunes, Vagner R. de Mendonça, Paulo H. E. Falsetti, Leticia V. Savazi, Tao He, Alexandra V. Bardakova, Aida V. Rudakova, Jie Tian, Alexei V. Emeline, Osmando F. Lopes, Antonio Otavio T. Patrocínio, Jia Hong Pan, Caue Ribeiro, Detlef W. Bahnemann   +16 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

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

Copper Doping Enhances the Activity and Selectivity of Atomically Precise Ag44 Nanoclusters for Photocatalytic CO2 Reduction

Advanced Functional Materials, EarlyView.
By a simple anti‐Galvanic reaction, up to six copper atoms could be preferably doped into the Ag2(SR)5 staple motifs and Ag20 dodecahedral shell of an atomically precise Ag44(SR)30 nanocluster. When anatase TiO2 is used as substrate, the (AgCu)44/TiO2 photocatalyst exhibited much improved activity in photocatalytic CO2 reduction compared to Ag44/TiO2 ...
Ye Liu, Xi Zheng, Xiufan Liu, Tengyuan Gao, Nicola Pinna, Yu Wang   +5 more
wiley   +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

Exact Analysis of Scaling and Dominant Attractors Beyond the Exponential Potential

, 2009
By considering the potential parameter $\Gamma$ as a function of another potential parameter $\lambda$[47], We successfully extend the analysis of two-dimensional autonomous dynamical system of quintessence scalar field model to the analysis of three ...
Chen C M, Chen C M, Fang W, Gong Y G, Gumjudpai B, Guo Z K, Hao W, Hui-Qing Lu, Jarv L, Kai Zhang, Khalil H K, Li X Z, Matos T, Neupane I P, Sen A, Wei Fang, Ying Li   +16 more
core   +1 more source