{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,2]],"date-time":"2024-07-02T02:57:50Z","timestamp":1719889070582},"reference-count":12,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2016,6,30]]},"abstract":"<jats:p> The hyper-chaotic strange attractor of systems of four Chua\u2019s circuits that are mutually coupled by three strong and three weak couplings is studied, both experimentally and via simulation. A new metric to compare strange attractors is presented. It is found that the strength of the couplings between circuits have a complex and determining influence on the probability for the presence of a trajectory within their attractors. This influence is strictly local, i.e. the probability of the presence of the trajectories is determined by the coupling strength to the directly adjacent circuits and independent of the coupling strengths among other circuits. Fluctuations in the properties of Chua\u2019s circuits due to random fluctuations during the production of its components have a significant influence on the probability of presence of the attractor\u2019s trajectories that could be qualitatively, but not quantitatively, modeled by our simulation. The consequences of these results for the possibility to construct \u201cphysical unclonable functions\u201d as networks of Chua\u2019s circuits with a hyper-chaotic dynamics are discussed. <\/jats:p>","DOI":"10.1142\/s0218127416501157","type":"journal-article","created":{"date-parts":[[2016,7,15]],"date-time":"2016-07-15T10:00:50Z","timestamp":1468576850000},"page":"1650115","source":"Crossref","is-referenced-by-count":2,"title":["On the Influence of the Coupling Strength among Chua\u2019s Circuits on the Structure of Their Hyper-Chaotic Attractors"],"prefix":"10.1142","volume":"26","author":[{"given":"Sven","family":"Freud","sequence":"first","affiliation":[{"name":"Federal Office for Information Security (BSI), D-53175 Bonn, Germany"}]},{"given":"Rainer","family":"Plaga","sequence":"additional","affiliation":[{"name":"Federal Office for Information Security (BSI), D-53175 Bonn, Germany"}]},{"given":"Ralph","family":"Breithaupt","sequence":"additional","affiliation":[{"name":"Federal Office for Information Security (BSI), D-53175 Bonn, Germany"}]}],"member":"219","published-online":{"date-parts":[[2016,7,15]]},"reference":[{"key":"S0218127416501157BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(94)90245-3"},{"key":"S0218127416501157BIB002","doi-asserted-by":"publisher","DOI":"10.1002\/cta.213"},{"key":"S0218127416501157BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/S0960-0779(02)00373-9"},{"key":"S0218127416501157BIB004","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127494001209"},{"key":"S0218127416501157BIB006","doi-asserted-by":"publisher","DOI":"10.1109\/81.298367"},{"key":"S0218127416501157BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2013.02.015"},{"key":"S0218127416501157BIB009","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-28540-0_24"},{"key":"S0218127416501157BIB011","series-title":"Lectures in Applied Mathematics","first-page":"141","volume-title":"Nonlinear Oscillations in Biology","volume":"17","author":"R\u00f6ssler O. E.","year":"1979"},{"key":"S0218127416501157BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(85)90011-9"},{"key":"S0218127416501157BIB014","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127494000691"},{"key":"S0218127416501157BIB015","doi-asserted-by":"publisher","DOI":"10.1142\/6570"},{"key":"S0218127416501157BIB016","doi-asserted-by":"publisher","DOI":"10.1109\/81.661689"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127416501157","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T04:32:52Z","timestamp":1565152372000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127416501157"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,6,30]]},"references-count":12,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2016,7,15]]},"published-print":{"date-parts":[[2016,6,30]]}},"alternative-id":["10.1142\/S0218127416501157"],"URL":"https:\/\/doi.org\/10.1142\/s0218127416501157","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,6,30]]}}}