Results 91 to 100 of about 274,060 (275)

Global behavior of an anti-competitive system of fourth-order rational difference equations [PDF]

Computational Ecology and Software, 2014
In the present work, we study the qualitative behavior of an anti-competitive system of fourth-order rational difference equations. More precisely, we study the local asymptotic stability, global character of the unique equilibrium point, and the rate of
A. Q. Khan, Q. Din, M. N. Qureshi, et al.   +2 more
doaj  

On some rational systems of difference equations

Journal of Nonlinear Sciences and Applications, 2017
Summary: Our goal in this paper is to find the form of solutions for the following systems of rational difference equations: \[ x_{n+1}=\frac{x_{n-3}y_{n-4}}{y_{n}(\pm 1\pm x_{n-3}y_{n-4})},\quad y_{n+1}=\frac{y_{n-3}x_{n-4}}{x_{n}(\pm 1\pm y_{n-3}x_{n-4})},\quad n=0,1,\ldots, \] where the initial conditions have non-zero real numbers.
El-Dessoky, M. M., Khaliq, A., Asiri, A.
openaire   +2 more sources

Expanding Chemical Space of Nucleic Acid Nanoparticles for Tunable Antiviral‐Like Immunomodulatory Responses and Potent Adjuvant Activity

Advanced Functional Materials, EarlyView.
We introduce a nucleic acid nanoparticle (NANP) platform designed to be rrecognized by the human innate immune system in a regulated manner. By changing chemical composition while maintaining constant architectural parameters, we identify key determinants of immunorecognition enabling the rational design of NANPs with tunable immune activation profiles
Martin Panigaj, Hannah S. Newton, Jian Wang, Laxmi Pandey, Yelixza I. Avilla, Phong Nguyen, Morgan Chandler, Justin Halman, Yasmine Radwan, Stephanie Smith, Elijah Edmondson, Simone Difilippantonio, Chelsea Sanders, Bao Tran, Yongmei Zhao, Shaojun Xie, Edward Cedrone, Barry W. Neun, Meni Wanunu, Nikolay V. Dokholyan, Marina A. Dobrovolskaia, Kirill A. Afonin   +21 more
wiley   +1 more source

Qualitative behavior of an anti-competitive system of third-order rational difference equations [PDF]

Computational Ecology and Software, 2014
In this paper, our aim is to study the equilibrium points, local asymptotic stability, global behavior of an equilibrium points and rate of convergence of an anti-competitive system of third-order rational difference equations of the form: xn+1=ayn-2/[b ...
Q. Din, M. N. Qureshi, A. Q. Khan
doaj  

The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations

Journal of Applied Mathematics, 2012
We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable
Khaled A. Gepreel, Taher A. Nofal, Ali A. Al-Thobaiti   +2 more
doaj   +1 more source

Golden‐Ratio–Guided Aperiodic Architected Metamaterials with Simultaneously Enhanced Strength and Toughness

Advanced Functional Materials, EarlyView.
Guided by the golden ratio, a class of aperiodic architected metamaterials is introduced to address the intrinsic trade‐off between strength and toughness. By unifying local geometric heterogeneity with global order, the golden‐ratio‐guided aperiodic architecture promotes spatial delocalization of damage tolerence regions, leading to more tortuous ...
Junjie Deng, Xinxin Wang, Ruochao Zhao, Zhendong Li, Kai Liu, Ke Yuan, Jia An, Xinwei Li, Chee Kai Chua, Zhonggang Wang   +9 more
wiley   +1 more source

On Invariants for Difference Equations and Systems of Difference Equations of Rational Form

Journal of Mathematical Analysis and Applications, 1999
The author generalizes results of \textit{C. J. Schinas} [J. Math. Anal. Appl. 216, No. 1, 164-179 (1997; Zbl 0889.39006)] on invariants of difference equations of rational form to second- and third-order autonomous and nonautonomous difference equations.
openaire   +2 more sources

Ultrahigh‐Yield, Multifunctional, and High‐Performance Organic Memory for Seamless In‐Sensor Computing Operation

Advanced Functional Materials, EarlyView.
Molecular engineering of a nonconjugated radical polymer enables a significant enhancement of the glass transition temperature. The amorphous nature and tunability of the polymer, arising from its nonconjugated backbone, facilitates the fabrication of organic memristive devices with an exceptionally high yield (>95%), as well as substantial ...
Daeun Kim, Jaehyoung Ko, Namju Kim, Quynh H. Nguyen, Hoyeon Lee, Joohwan Eo, Seongeon Jin, Ji Eon Kwon, Seung‐Yeol Jeon, Youngdo Jeong, Dongseok Kwon, Sung Gap Im, Sanghan Lee, Byung Chul Jang, Yongho Joo   +14 more
wiley   +1 more source

Tailoring Microstructure in Copper‐Based Conductive Metal–Organic Frameworks for Enhanced Chemiresistive Sensing and Uptake of Sulfur Dioxide

Advanced Functional Materials, EarlyView.
Precursor‐ and solvent‐mediated synthesis yields four Cu3(HHTP)2 morphologies with distinct physicochemical, sorption, and sensing properties toward SO2. Uptake capacities correlate with BET surface area, while sensing performance scales with particle aspect ratio.
Patrick Damacet, Zhuoran Zhong, Elí Sánchez‐González, Camille L. Slagle, Ilich A. Ibarra, Katherine A. Mirica   +5 more
wiley   +1 more source

Unusual Swelling Behavior of Hydrogels Modified with Spiropyran as Appendage or Crosslinker

Advanced Functional Materials, EarlyView.
Not so innocent after all—spiropyran crosslinkers in methylenebisacrylamide‐crosslinked poly(acrylamide‐co‐acrylic acid) hydrogels increase crosslinking density, but also, counterintuitively, increase swelling. Charge complexation, cooperative chemo‐mechanical effects, and aggregation may explain these observations.
Michael M. Lerch, Ankita Shastri, Thomas B. H. Schroeder, Amos Meeks, Shucong Li, Anna V. Shneidman, Michael Aizenberg, Joanna Aizenberg   +7 more
wiley   +1 more source