Results 61 to 70 of about 94,144 (269)

Formal Languages in Dynamical Systems [PDF]

, 1993
We treat here the interrelation between formal languages and those dynamical systems that can be described by cellular automata (CA). There is a well-known injective map which identifies any CA-invariant subshift with a central formal language.
Troll, G.
core   +1 more source

Analysis of chaotic motion and its shape dependence in a generalized piecewise linear map

, 2001
We analyse the chaotic motion and its shape dependence in a piecewise linear map using Fujisaka's characteristic function method. The map is a generalization of the one introduced by R. Artuso.
B.A. Huberman, B.V. Chirikov, Chia-Chu Chen, E. Ben-Jacob, H. Fujisaka, H. Fujisaka, H. Fujisaka, H. Fujisaka, H. Fujisaka, H. Fujisaka, H. Mori, H. Shibata, H.C. Tseng, H.G. Schuster, M. Cirillo, M. Inoue, M. Sabir, M. Schell, R. Artuso, R. Artuso, R.W. Leven, S. Grossmann, S. Rajagopalan, T. Geisel, T. Geisel   +24 more
core   +2 more sources

A Plug‐and‐Play Volume Minimizing Micromixer

Advanced Science, EarlyView.
ABSTRACT Microscale fluid mixing has numerous applications where rapid and efficient mixing is required, including drug discovery, bio‐analysis and point‐of‐care diagnostics. Conventional soft lithography processes, however, make the integration of robust and reliable mixing difficult to implement in practice, especially across different flow rates ...
Kirill Kolesnik, Philipp Segeritz, Daniel J. Scott, David J. Collins   +3 more
wiley   +1 more source

Correspondence in Quasiperiodic and Chaotic Maps: Quantization via the von Neumann Equation

, 1993
A generalized approach to the quantization of a large class of maps on a torus, i.e. quantization via the von Neumann Equation, is described and a number of issues related to the quantization of model systems are discussed.
C. Jaffé, C. Jaffé, C. Jaffé, J. Ford, J. Ford, J.H. Hannay, Joshua Wilkie, M.V. Berry, N.L. Balazs, N.L. Balazs, Paul Brumer, R.S. Dumont, S. Knabe, S.R. De Groot, V.I. Arnold, V.S. Vladimirov   +15 more
core   +2 more sources

Anatomy of quantum chaotic eigenstates [PDF]

, 2012
The eigenfunctions of quantized chaotic systems cannot be described by explicit formulas, even approximate ones. This survey summarizes (selected) analytical approaches used to describe these eigenstates, in the semiclassical limit.
A Bouzouina, A Bäcker, A Bäcker, A Bäcker, A Hassell, A Katok, A Schnirelman, A Voros, AH Barnett, AJ Lichtenberg, B Crespi, B Ekhardt, B Gutkin, B Helffer, B Shiffman, C-H Chang, D Kelmer, E Bogomolny, E Bogomolny, E Bogomolny, E Lindenstrauss, E Vergini, EB Bogomolny, EJ Heller, EJ Heller, F Faure, F Nazarov, G Berkolaiko, G Blum, H Donnelly, H Iwaniec, I Melbourne, IC Percival, J Brüning, J Marklof, J-M Tualle, JH Hannay, JH Hannay, JP Keating, JP Keating, L Hörmander, L Kaplan, L Kaplan, LA Bunimovich, M Degli Esposti, M Degli Esposti, M Feingold, M. Saraceno, MV Berry, MV Berry, MV Berry, N Anantharaman, N Anantharaman, N Anantharaman, N Anantharaman, N Chernov, NL Balasz, NL Balasz, P Bleher, P Bàlint, P Gérard, P Kurlberg, P Kurlberg, P Kurlberg, P Leboeuf, P Leboeuf, R Aurich, R Aurich, R Aurich, R Courant, R Schubert, R Schubert, S Brooks, S Nonnenmacher, S Zelditch, S Zelditch, S Zelditch, S Zelditch, S Zelditch, SW McDonald, W Luo, Y Colin de Verdière, Z Rudnick, Z Rudnick, Å Pleijel   +84 more
core   +4 more sources

AutomataGPT: Transformer‐Based Forecasting and Ruleset Inference for Two‐Dimensional Cellular Automata

Advanced Science, EarlyView.
We introduce AutomataGPT, a generative pretrained transformer (GPT) trained on synthetic spatiotemporal data from 2D cellular automata to learn symbolic rules. Demonstrating strong performance on both forward and inverse tasks, AutomataGPT establishes a scalable, domain‐agnostic framework for interpretable modeling, paving the way for future ...
Jaime A. Berkovich, Noah S. David, Markus J. Buehler   +2 more
wiley   +1 more source

Stable synchronised states of coupled Tchebyscheff maps

, 2001
Coupled Tchebyscheff maps have recently been introduced to explain parameters in the standard model of particle physics, using the stochastic quantisation of Parisi and Wu.
Amritkar, Beck, Beck, C.P Dettmann, Gade, Parisi   +5 more
core   +1 more source

On the Security of the Yi-Tan-Siew Chaos-Based Cipher [PDF]

, 2004
This paper presents a comprehensive analysis on the security of the Yi-Tan-Siew chaotic cipher proposed in [IEEE TCAS-I 49(12):1826-1829 (2002)]. A differential chosen-plaintext attack and a differential chosen-ciphertext attack are suggested to break ...
Chen, Guanrong, Li, Shujun, Mou, Xuanqin
core   +2 more sources

Unraveling the Molecular Mechanisms Underlying Spontaneous Multipolar Mitosis Through CIN‐seq

Advanced Science, EarlyView.
Multipolar mitosis, a hallmark of chromosomal instability (CIN), drives tumor heterogeneity but is challenging to study in live cells. Using CIN‐seq, a single‐cell multiomics method, we profiled rare CIN events and identified mechanisms associated with viable multipolar mitosis, including PTEN attenuation, Rho GTPase‐driven cytokinesis failure, and ...
Pin‐Rui Su, Ting‐Chun Chou, Maria Teresa López‐Cascales, Junfeng Huang, Tsai‐Ying Chen, Sjoukje van Wieren, Chan Li, Cecile Beerens, Li You, Jelle Storteboom, Miao‐Ping Chien   +10 more
wiley   +1 more source

Quasi-periodic, strange chaotic behaviors, and soliton solutions of the (4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

Applied Mathematics in Science and Engineering
Soliton solutions and chaotic analysis in integrable equations have become a hot topic in recent years. This work presents the qualitative dynamics and analytical solutions of (4+1)-D Boiti-Leon-Manna-Pempinelli (BLMP) model.
Khaled Aldwoah, W. Eltayeb Ahmed, Mohammed Alsharafi, Alaa Mustafa, E. I. Hassan, Ria H. Egami   +5 more
doaj   +1 more source