Zobrazeno 1 - 10
of 244
pro vyhledávání: '"Otto E. Rössler"'
Autor:
Ulrich Parlitz, Lars Folke Olsen, Louis M. Pecora, Otto E. Rössler, Arkady Pikovsky, Ichiro Tsuda, Christophe Letellier, René Lozi, Robert Gilmore, Celso Grebogi, Dima L. Shepelyansky, Leon Glass, Ralph Abraham, Philip Holmes, Thomas L. Carroll
Publikováno v:
Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021, 31 (5), pp.053110. ⟨10.1063/5.0047851⟩
Chaos: An Interdisciplinary Journal of Nonlinear Science, American Institute of Physics, 2021, 31 (5), pp.053110. ⟨10.1063/5.0047851⟩
Letellier, C, Abraham, R, Shepelyansky, D L, Rössler, O E, Holmes, P, Lozi, R, Glass, L, Pikovsky, A, Olsen, L F, Tsuda, I, Grebogi, C, Parlitz, U, Gilmore, R, Pecora, L M & Carroll, T L 2021, ' Some elements for a history of the dynamical systems theory ', Chaos, vol. 31, no. 5, 053110 . https://doi.org/10.1063/5.0047851
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021, 31 (5), pp.053110. ⟨10.1063/5.0047851⟩
Chaos: An Interdisciplinary Journal of Nonlinear Science, American Institute of Physics, 2021, 31 (5), pp.053110. ⟨10.1063/5.0047851⟩
Letellier, C, Abraham, R, Shepelyansky, D L, Rössler, O E, Holmes, P, Lozi, R, Glass, L, Pikovsky, A, Olsen, L F, Tsuda, I, Grebogi, C, Parlitz, U, Gilmore, R, Pecora, L M & Carroll, T L 2021, ' Some elements for a history of the dynamical systems theory ', Chaos, vol. 31, no. 5, 053110 . https://doi.org/10.1063/5.0047851
International audience; Writing a history of a scientific theory is always difficult because it requires to focus on some key contributors and to “reconstruct” some supposed influences. In the 1970s, a new way of performing science under the name
Characterizing accurately chaotic behaviors is not a trivial problem and must allow to determine the properties that two given chaotic invariant sets share or not. The underlying problem is the classification of chaotic regimes, and their labelling.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::daf32bd56a3fe0be56f2a14ffaaa50ea
Autor:
Otto E. Rössler
Publikováno v:
Chaos, Fractals, and Dynamics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::32a1b5200188dbf0aeff8d422eee4750
https://doi.org/10.1201/9781003072676-7
https://doi.org/10.1201/9781003072676-7
Publikováno v:
Chaos (Woodbury, N.Y.). 28(4)
Model validation from experimental data is an important and not trivial topic which is too often reduced to a simple visual inspection of the state portrait spanned by the variables of the system. Synchronization was suggested as a possible technique
Autor:
Christophe Letellier, Otto E. Rössler
Publikováno v:
Chaos ISBN: 9783030443047
Simple systems can produce complicated behavior. The reason lies in the structure of space and time. Simple ‘weaving rules’ suffice to determine very complicated motions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a58d97ca7a563a8a56bd17658479aa52
https://doi.org/10.1007/978-3-030-44305-4_1
https://doi.org/10.1007/978-3-030-44305-4_1
Autor:
Otto E. Rössler, Christophe Letellier
Publikováno v:
Chaos ISBN: 9783030443047
The oldest example of complicated behavior found in an unconstrained (non-conservative) dynamical system is, as mentioned in the Introduction, that found in the periodically forced van der Pol oscillator [1]. Cartwright and Littlewood’s results wer
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38d35eba838bb854efcd5df47d82c17d
https://doi.org/10.1007/978-3-030-44305-4_6
https://doi.org/10.1007/978-3-030-44305-4_6
Autor:
Christophe Letellier, Otto E. Rössler
Publikováno v:
Chaos ISBN: 9783030443047
Chaotic systems produce a characteristic noise, as described in Sect. 10.6. Does it suffice to diagnose chaos and, perhaps, also its higher forms?
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dcc20d7985070b2ff9d8b6550f4c5784
https://doi.org/10.1007/978-3-030-44305-4_13
https://doi.org/10.1007/978-3-030-44305-4_13
Autor:
Otto E. Rössler, Christophe Letellier
Publikováno v:
Chaos ISBN: 9783030443047
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::836ea63bc3a044bdb01485579cc0d788
https://doi.org/10.1007/978-3-030-44305-4_4
https://doi.org/10.1007/978-3-030-44305-4_4
Autor:
Christophe Letellier, Otto E. Rössler
Publikováno v:
Chaos ISBN: 9783030443047
So far, a single design principle has proved sufficient to generate a whole world of nontrivial flows in three and higher dimensions. The resulting limiting equations appeared rather ‘robust’ in the sense that the limiting parameter \(\varepsilon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff3db07e9836c7c8b9a955fa565a7c37
https://doi.org/10.1007/978-3-030-44305-4_5
https://doi.org/10.1007/978-3-030-44305-4_5