Results 51 to 60 of about 39,805 (286)

Chaotic Explosions

, 2015
We investigate chaotic dynamical systems for which the intensity of trajectories might grow unlimited in time. We show that (i) the intensity grows exponentially in time and is distributed spatially according to a fractal measure with an information ...
Altmann, Eduardo G., Portela, Jefferson S. E., Tél, Tamás   +2 more
core   +1 more source

Asymptotic expansions for the escape rate of stochastically perturbed unimodal maps [PDF]

, 2009
The escape rate of a stochastic dynamical system can be found as an expansion in powers of the noise strength. In previous work the coefficients of such an expansion for a one-dimensional map were fitted to a general form containing a few parameters ...
Artuso, Artuso, Beale, Bene, Biswas, Boyd, Bunimovich, Carl P. Dettmann, Cvitanović, Cvitanović, Cvitanović, Cvitanović, Davis, Dettmann, Dettmann, Dettmann, Dingle, Faisst, Feigenbaum, Fogedby, Franaszek, Gammaitoni, Gaspard, Hamm, Katok, Korabel, Manneville, Prakash, Priplata, Reimann, Reimann, Reimann, Ruiz, Shlesinger, Sornette, Teil B. Howard, Waalkens, Waalkens   +37 more
core   +1 more source

Roadmap to Precision 3D Printing of Cellulose: Rheology‐Guided Formulation, Fidelity Assessment, and Application Horizons

Advanced Materials Technologies, EarlyView.
This critical review presents a comprehensive roadmap for the precision 3D printing of cellulose. Quantitative correlations link ink formulation and rheological properties to print fidelity and final material performance. This framework guides the development of advanced functional materials, from biomedical scaffolds to electromagnetic shielding ...
Majed Amini, Hadi Hosseini, Seyyed Alireza Hashemi, Mohammad Arjmand   +3 more
wiley   +1 more source

Numerics and Fractals [PDF]

, 2014
Local iterated function systems are an important generalisation of the standard (global) iterated function systems (IFSs). For a particular class of mappings, their fixed points are the graphs of local fractal functions and these functions themselves are
Barnsley, Michael F., Hegland, Markus, Massopust, Peter   +2 more
core  

Smart Closed‐Loop Systems in Personalized Healthcare: Advances and Outlook

Advanced Materials Technologies, EarlyView.
A smart closed‐loop e‐textile integrates multimodal sensing, onboard processing, wireless communication, and wearable power to enable real‐time physiological/biochemical monitoring and feedback‐controlled therapy. ABSTRACT Smart textiles represent a revolutionary frontier in healthcare, seamlessly blending fabric and advanced technologies to create ...
Safoora Khosravi, Sang Won Lee, Mohammad Abrar Uddin, Sina Hassanpoor, Neha Suvindran, Katherine Le, Harun Arkaz, Harishkumar Narayana, Saeid Soltanian, Danial Khorsandi, Negar Hosseinzadeh Kouchehbaghi, Taeil Kim, Yangzhi Zhu   +12 more
wiley   +1 more source

Iterated function systems consisting of continuous functions satisfying Banach’s orbital condition

Annals of the West University of Timisoara: Mathematics and Computer Science, 2018
We introduce the concept of iterated function system consisting of continuous functions satisfying Banach’s orbital condition and prove that the fractal operator associated to such a system is weakly Picard. Some examples are provided.
Miculescu Radu, Mihail Alexandru, Savu Irina   +2 more
doaj   +1 more source

Different strategies for diabetes by mathematical modeling: Applications of fractal–fractional derivatives in the sense of Atangana–Baleanu

Results in Physics, 2023
For diabetes mellitus therapies, Bergman’s minimal model is proposed. The present study is devoted to mathematical modeling and analysis of the diabetes mellitus model without genetic factors in the fractal–fractional derivatives in the sense of Atangana–
Khalid I.A. Ahmed, Haroon D.S. Adam, M.Y. Youssif, Sayed Saber   +3 more
doaj   +1 more source

Temporal and Cell‐Specific Regulation of Synaptic Homeostasis by the Chromatin Remodeler Chd1

Advanced Science, EarlyView.
Chd1, the Drosophila homologue of mammalian CHD2 ‐ a gene linked to autism, epilepsy, and intellectual disability, is required for synaptic homeostatic plasticity. Chd1 in glia is necessary for the rapid induction of synaptic homeostasis, whereas Chd1 in motoneurons, muscle, and glia is critical for long‐term maintenance.
Danielle T. Morency, Tao Cui, Yimei Cai, Chloe Lok, Rachel E. Nokku, Ruoxian Huang, Grace L. Chu, Yumeng Xie, Saleem W. Abu‐Tayeh, Kaikai He, Chengjie Qiu, Junyi Wang, Paxton M. Paganelli, Ting Wang, Gabrielle Williams, Sreejith Nair, Huadong Pei, Dion K. Dickman, Stefano Vicini, Tingting Wang   +19 more
wiley   +1 more source

Different strategies for diabetes by mathematical modeling: Modified Minimal Model

Alexandria Engineering Journal, 2023
A fractal-fractional-order of a modified minimal model of glucose-insulin interaction model is proposed in sense of Atangana-Baleanu operator based on the intravenous glucose tolerance test (IVGT).
Khalid I.A. Ahmed, Haroon D.S. Adam, M.Y. Youssif, Sayed Saber   +3 more
doaj   +1 more source

A fractal operator associated to bivariate fractal interpolation functions

, 2018
A general framework to construct fractal interpolation surfaces (FISs) on rectangular grids was presented and bilinear FIS was deduced by Ruan and Xu [Bull. Aust. Math. Soc. 91(3), 2015, pp. 435-446]. From the view point of operator theory and the stand point of developing some approximation aspects, we revisit the aforementioned construction to obtain
Verma, S., Viswanathan, P.
openaire   +2 more sources