Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Valery I. Sbitnev"'
Autor:
Iara Santelices, Karthik Shankar, Douglas E. Friesen, Hyongsuk Kim, Jack A. Tuszynski, Sahil Patel, Valery I. Sbitnev, Leon O. Chua, Aarat P. Kalra, Holly Freedman
Publikováno v:
Scientific Reports, Vol 10, Iss 1, Pp 1-11 (2020)
Scientific Reports
Scientific Reports
Memristors represent the fourth electrical circuit element complementing resistors, capacitors and inductors. Hallmarks of memristive behavior include pinched and frequency-dependent I–V hysteresis loops and most importantly a functional dependence
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4f10804c75d5e468768e8d7774b8db4
https://doi.org/10.1038/s41598-020-58820-y
https://doi.org/10.1038/s41598-020-58820-y
Publikováno v:
International Journal of Bifurcation and Chaos. 18:2487-2642
Our scientific odyssey through the theory of 1-D cellular automata is enriched by the definition of quasi-ergodicity, a new empirical property discovered by analyzing the time-1 return maps of local rules. Quasi-ergodicity plays a key role in the cla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::77d7b65e1ed9c5f14f43f0d287e2b2bc
https://doi.org/10.1142/s0218127408021853
https://doi.org/10.1142/s0218127408021853
Publikováno v:
International Journal of Bifurcation and Chaos. 17:3741-3894
This paper presents the basin tree diagrams of all hyper Bernoulli στ-shift rules for string lengths L = 3, 4, …, 8. These diagrams have revealed many global and time-asymptotic properties that we have subsequently proved to be true for all L <
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a9187a423ebb00028a76b3632f7daf6
https://doi.org/10.1142/s0218127407019901
https://doi.org/10.1142/s0218127407019901
Publikováno v:
International Journal of Bifurcation and Chaos. 17:2839-3012
This paper continues our quest to develop a rigorous analytical theory of 1-D cellular automata via a nonlinear dynamics perspective. The 18 yet uncharacterized local rules are henceforth partitioned into ten complex Bernoulliστ-shift rules and eig
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5faadf492d686e68221033e069d45d17
https://doi.org/10.1142/s0218127407019068
https://doi.org/10.1142/s0218127407019068
Publikováno v:
International Journal of Bifurcation and Chaos. 16:1097-1373
This paper proves, via an analytical approach, that 170 (out of 256) Boolean CA rules in a one-dimensional cellular automata (CA) are time-reversible in a generalized sense. The dynamics on each attractor of a time-reversible rule N is exactly mirror
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::34950f2aa5fda1c96ad60a3db8b28eaf
https://doi.org/10.1142/s0218127406015544
https://doi.org/10.1142/s0218127406015544
Publikováno v:
International Journal of Bifurcation and Chaos. 15:3701-3849
This fifth installment is devoted to an in-depth study of CA Characteristic Functions, a unified global representation for all 256 one-dimensional Cellular Automata local rules. Except for eight rather special local rules whose global dynamics are de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c64e1068523c29dff9e9d6eaac67d06
https://doi.org/10.1142/s0218127405014775
https://doi.org/10.1142/s0218127405014775
Publikováno v:
International Journal of Bifurcation and Chaos. 15:1045-1183
By exploiting the new concepts of CA characteristic functions and their associated attractor time-τ maps, a complete characterization of the long-term time-asymptotic behaviors of all 256 one-dimensional CA rules are achieved via a single "probing"
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::21e84c1ab26780817f07805ed76d7f73
https://doi.org/10.1142/s0218127405012995
https://doi.org/10.1142/s0218127405012995
Publikováno v:
International Journal of Bifurcation and Chaos. 14:3689-3820
We prove rigorously the four cellular automata local rules 110, 124, 137 and 193 have identical dynamic behaviors capable of universal computations. We exploit Felix Klein's remarkable Vierergruppe to partition the 256 local rules studied empirically
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28aaa083835a03708f02215601335ed3
https://doi.org/10.1142/s0218127404011764
https://doi.org/10.1142/s0218127404011764
Publikováno v:
International Journal of Bifurcation and Chaos. 13:2377-2491
Wolfram's celebrated three-input Cellular Automata is further developed and extended from the perspective of neural networks. A single explicit formula involving two nested absolute-value functions and eight adjustable parameters called synaptic weig
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1a0d8e2c950c259eb9b38e99a51f891f
https://doi.org/10.1142/s0218127403008041
https://doi.org/10.1142/s0218127403008041
Autor:
Leon O. Chua, Valery I. Sbitnev
Publikováno v:
International Journal of Bifurcation and Chaos. 12:1227-1272
Discrete-time CNN systems are studied in this paper by the application of Chua's local activity principle. These systems are locally active everywhere except for one isolated parameter value. As a result, nonhomogeneous spatiotemporal patterns may be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::68140916272a73b6df238564a6eb1039
https://doi.org/10.1142/s0218127402005157
https://doi.org/10.1142/s0218127402005157