Matches in SemOpenAlex for { <https://semopenalex.org/work/W3206998575> ?p ?o ?g. }
- W3206998575 abstract "Noise modifies the behavior of chaotic systems in both quantitative and qualitative ways. To study these modifications, the present work compares the topological structure of the deterministic Lorenz (1963) attractor with its stochastically perturbed version. The deterministic attractor is well known to be strange but it is frozen in time. When driven by multiplicative noise, the Lorenz model's random attractor (LORA) evolves in time. Algebraic topology sheds light on the most striking effects involved in such an evolution. In order to examine the topological structure of the snapshots that approximate LORA, we use branched manifold analysis through homologies-a technique originally introduced to characterize the topological structure of deterministically chaotic flows-which is being extended herein to nonlinear noise-driven systems. The analysis is performed for a fixed realization of the driving noise at different time instants in time. The results suggest that LORA's evolution includes sharp transitions that appear as topological tipping points." @default.
- W3206998575 created "2021-10-25" @default.
- W3206998575 creator A5042895699 @default.
- W3206998575 creator A5045772011 @default.
- W3206998575 creator A5068415936 @default.
- W3206998575 creator A5069419240 @default.
- W3206998575 date "2021-10-01" @default.
- W3206998575 modified "2023-10-10" @default.
- W3206998575 title "Noise-driven topological changes in chaotic dynamics" @default.
- W3206998575 cites W1596958643 @default.
- W3206998575 cites W1830471444 @default.
- W3206998575 cites W1964108861 @default.
- W3206998575 cites W1967797812 @default.
- W3206998575 cites W196973002 @default.
- W3206998575 cites W1971105305 @default.
- W3206998575 cites W1974376512 @default.
- W3206998575 cites W1975421333 @default.
- W3206998575 cites W1977226459 @default.
- W3206998575 cites W1996262716 @default.
- W3206998575 cites W1997989802 @default.
- W3206998575 cites W1998727969 @default.
- W3206998575 cites W1999206758 @default.
- W3206998575 cites W2007151710 @default.
- W3206998575 cites W2007185418 @default.
- W3206998575 cites W2009810313 @default.
- W3206998575 cites W2012393256 @default.
- W3206998575 cites W2016700971 @default.
- W3206998575 cites W2030274728 @default.
- W3206998575 cites W2034754411 @default.
- W3206998575 cites W2053690893 @default.
- W3206998575 cites W2056651346 @default.
- W3206998575 cites W2070430318 @default.
- W3206998575 cites W2072621406 @default.
- W3206998575 cites W2076174416 @default.
- W3206998575 cites W2088988633 @default.
- W3206998575 cites W2094343057 @default.
- W3206998575 cites W2104339857 @default.
- W3206998575 cites W2107385756 @default.
- W3206998575 cites W2126583401 @default.
- W3206998575 cites W2126770432 @default.
- W3206998575 cites W2134761831 @default.
- W3206998575 cites W2135610119 @default.
- W3206998575 cites W2148676644 @default.
- W3206998575 cites W2152254020 @default.
- W3206998575 cites W2153986241 @default.
- W3206998575 cites W2158697779 @default.
- W3206998575 cites W2158749668 @default.
- W3206998575 cites W2237826530 @default.
- W3206998575 cites W2302249809 @default.
- W3206998575 cites W2475596929 @default.
- W3206998575 cites W2516984028 @default.
- W3206998575 cites W2527487499 @default.
- W3206998575 cites W2538334073 @default.
- W3206998575 cites W2580046318 @default.
- W3206998575 cites W2796890401 @default.
- W3206998575 cites W2799174785 @default.
- W3206998575 cites W2946133995 @default.
- W3206998575 cites W2963434929 @default.
- W3206998575 cites W2993472301 @default.
- W3206998575 cites W2997834374 @default.
- W3206998575 cites W3004137629 @default.
- W3206998575 cites W3046602060 @default.
- W3206998575 cites W3087006036 @default.
- W3206998575 cites W3105890271 @default.
- W3206998575 cites W3106201435 @default.
- W3206998575 cites W3160711173 @default.
- W3206998575 cites W3164213632 @default.
- W3206998575 cites W3165214912 @default.
- W3206998575 cites W3184956344 @default.
- W3206998575 cites W3192731213 @default.
- W3206998575 cites W3196688483 @default.
- W3206998575 cites W4233690291 @default.
- W3206998575 cites W913946616 @default.
- W3206998575 doi "https://doi.org/10.1063/5.0059461" @default.
- W3206998575 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/34717329" @default.
- W3206998575 hasPublicationYear "2021" @default.
- W3206998575 type Work @default.
- W3206998575 sameAs 3206998575 @default.
- W3206998575 citedByCount "5" @default.
- W3206998575 countsByYear W32069985752022 @default.
- W3206998575 countsByYear W32069985752023 @default.
- W3206998575 crossrefType "journal-article" @default.
- W3206998575 hasAuthorship W3206998575A5042895699 @default.
- W3206998575 hasAuthorship W3206998575A5045772011 @default.
- W3206998575 hasAuthorship W3206998575A5068415936 @default.
- W3206998575 hasAuthorship W3206998575A5069419240 @default.
- W3206998575 hasBestOaLocation W32069985751 @default.
- W3206998575 hasConcept C105795698 @default.
- W3206998575 hasConcept C114614502 @default.
- W3206998575 hasConcept C115961682 @default.
- W3206998575 hasConcept C121332964 @default.
- W3206998575 hasConcept C121864883 @default.
- W3206998575 hasConcept C131021393 @default.
- W3206998575 hasConcept C13412647 @default.
- W3206998575 hasConcept C134306372 @default.
- W3206998575 hasConcept C145054310 @default.
- W3206998575 hasConcept C151510863 @default.
- W3206998575 hasConcept C154945302 @default.
- W3206998575 hasConcept C158622935 @default.
- W3206998575 hasConcept C164380108 @default.