50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972): Multistability, Multiscale Predictability, and Sensitivity in Numerical Models
This year marks the 50th anniversary of the metaphorical butterfly effect, born from Edward Lorenz's 1963 work on initial condition sensitivity. In 1972, it became a metaphor for illustrating how minor changes could yield an organized system. •Lorenz Models: Chaos and Regime Changes: Explore Lorenz...
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| Sprog: | engelsk |
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MDPI - Multidisciplinary Digital Publishing Institute
2023
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| Online adgang: | ONIX_20231130_9783036589107_35 |
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| description | This year marks the 50th anniversary of the metaphorical butterfly effect, born from Edward Lorenz's 1963 work on initial condition sensitivity. In 1972, it became a metaphor for illustrating how minor changes could yield an organized system. •Lorenz Models: Chaos and Regime Changes: Explore Lorenz models' 1960–2008 evolution, chaos theory, and coexisting attractors. •Unraveling High-dimensional Instability: Challenge norms in "Butterfly Effect without Chaos?" as non-chaotic elements contribute uniquely. •Modeling Atmospheric Dynamics: Delve into atmospheric dynamics via "Storm Sensitivity Study." •Navigating Data Assimilation: Explore data assimilation's dance in chaotic and nonchaotic settings via the observability Gramian. •Chaos, Instability, Sensitivities: Explore chaos, instability, and sensitivities with Lorenz’s 1963 and 1969 models. •Unraveling Tropical Mysteries: Investigate tropical atmospheric instability, uncovering oscillation origins and cloud–radiation interactions. •Chaos and Order: Enter atmospheric regimes, exploring attractor coexistence and predictability. •The Art of Prediction: Peer into predictability realms, tracing the "butterfly effect's" impact on predictions. •Navigating Typhoons: Journey through typhoons, exploring rainfall and typhoon trajectory prediction. •Analyzing Sea Surface Temperature: Examine sea surface temperature analysis and nonlinear analysis for classification. |
| format | Online |
| id | doab-20.500.12854ir-128583 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1285832024-03-28T03:31:32Z 50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972): Multistability, Multiscale Predictability, and Sensitivity in Numerical Models Shen, Bo-Wen Pielke Sr., Roger Zeng, Xubin Lorenz model chaos instability saddle point SDIC sensitivities finite predictability ill-conditioned El Niño EOF ISOMAP La Niña Niño 3.4 PCA SST quantitative precipitation forecast (QPF) typhoon time-lagged ensemble cloud-resolving model categorical statistics Philippines predictability predictions Laplace’s demon butterfly effect weather forecasts MM5 Rayleigh–Bénard convection data assimilation observation placement forecast sensitivity chaotic regimes low-order modeling dual nature generalized Lorenz model multistability tropical clouds radiation oscillations ventilation effect cloud resolving model cloud dynamics sensitive dependence on initial conditions Zika toy model numerical weather prediction (NWP) Courant–Friedrichs–Lewy (CFL) criterion Purdue regional climate model (PRCM) convective available potential energy (CAPE) shallow water equations (SWE) Bernoulli function dynamics system forward–backward scheme leapfrog scheme thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::R Earth Sciences, Geography, Environment, Planning::RB Earth sciences::RBP Meteorology and climatology This year marks the 50th anniversary of the metaphorical butterfly effect, born from Edward Lorenz's 1963 work on initial condition sensitivity. In 1972, it became a metaphor for illustrating how minor changes could yield an organized system. •Lorenz Models: Chaos and Regime Changes: Explore Lorenz models' 1960–2008 evolution, chaos theory, and coexisting attractors. •Unraveling High-dimensional Instability: Challenge norms in "Butterfly Effect without Chaos?" as non-chaotic elements contribute uniquely. •Modeling Atmospheric Dynamics: Delve into atmospheric dynamics via "Storm Sensitivity Study." •Navigating Data Assimilation: Explore data assimilation's dance in chaotic and nonchaotic settings via the observability Gramian. •Chaos, Instability, Sensitivities: Explore chaos, instability, and sensitivities with Lorenz’s 1963 and 1969 models. •Unraveling Tropical Mysteries: Investigate tropical atmospheric instability, uncovering oscillation origins and cloud–radiation interactions. •Chaos and Order: Enter atmospheric regimes, exploring attractor coexistence and predictability. •The Art of Prediction: Peer into predictability realms, tracing the "butterfly effect's" impact on predictions. •Navigating Typhoons: Journey through typhoons, exploring rainfall and typhoon trajectory prediction. •Analyzing Sea Surface Temperature: Examine sea surface temperature analysis and nonlinear analysis for classification. 2023-11-30T20:33:42Z 2023-11-30T20:33:42Z 2023 book ONIX_20231130_9783036589107_35 9783036589107 9783036589114 https://directory.doabooks.org/handle/20.500.12854/128583 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/8035 https://mdpi.com/books/pdfview/book/8035 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-8911-4 10.3390/books978-3-0365-8911-4 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036589107 9783036589114 336 Basel open access |
| spellingShingle | Lorenz model chaos instability saddle point SDIC sensitivities finite predictability ill-conditioned El Niño EOF ISOMAP La Niña Niño 3.4 PCA SST quantitative precipitation forecast (QPF) typhoon time-lagged ensemble cloud-resolving model categorical statistics Philippines predictability predictions Laplace’s demon butterfly effect weather forecasts MM5 Rayleigh–Bénard convection data assimilation observation placement forecast sensitivity chaotic regimes low-order modeling dual nature generalized Lorenz model multistability tropical clouds radiation oscillations ventilation effect cloud resolving model cloud dynamics sensitive dependence on initial conditions Zika toy model numerical weather prediction (NWP) Courant–Friedrichs–Lewy (CFL) criterion Purdue regional climate model (PRCM) convective available potential energy (CAPE) shallow water equations (SWE) Bernoulli function dynamics system forward–backward scheme leapfrog scheme thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::R Earth Sciences, Geography, Environment, Planning::RB Earth sciences::RBP Meteorology and climatology 50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972): Multistability, Multiscale Predictability, and Sensitivity in Numerical Models |
| title | 50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972): Multistability, Multiscale Predictability, and Sensitivity in Numerical Models |
| title_full | 50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972): Multistability, Multiscale Predictability, and Sensitivity in Numerical Models |
| title_fullStr | 50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972): Multistability, Multiscale Predictability, and Sensitivity in Numerical Models |
| title_full_unstemmed | 50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972): Multistability, Multiscale Predictability, and Sensitivity in Numerical Models |
| title_short | 50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972): Multistability, Multiscale Predictability, and Sensitivity in Numerical Models |
| title_sort | 50th anniversary of the metaphorical butterfly effect since lorenz 1972 multistability multiscale predictability and sensitivity in numerical models |
| topic | Lorenz model chaos instability saddle point SDIC sensitivities finite predictability ill-conditioned El Niño EOF ISOMAP La Niña Niño 3.4 PCA SST quantitative precipitation forecast (QPF) typhoon time-lagged ensemble cloud-resolving model categorical statistics Philippines predictability predictions Laplace’s demon butterfly effect weather forecasts MM5 Rayleigh–Bénard convection data assimilation observation placement forecast sensitivity chaotic regimes low-order modeling dual nature generalized Lorenz model multistability tropical clouds radiation oscillations ventilation effect cloud resolving model cloud dynamics sensitive dependence on initial conditions Zika toy model numerical weather prediction (NWP) Courant–Friedrichs–Lewy (CFL) criterion Purdue regional climate model (PRCM) convective available potential energy (CAPE) shallow water equations (SWE) Bernoulli function dynamics system forward–backward scheme leapfrog scheme thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::R Earth Sciences, Geography, Environment, Planning::RB Earth sciences::RBP Meteorology and climatology |
| topic_facet | Lorenz model chaos instability saddle point SDIC sensitivities finite predictability ill-conditioned El Niño EOF ISOMAP La Niña Niño 3.4 PCA SST quantitative precipitation forecast (QPF) typhoon time-lagged ensemble cloud-resolving model categorical statistics Philippines predictability predictions Laplace’s demon butterfly effect weather forecasts MM5 Rayleigh–Bénard convection data assimilation observation placement forecast sensitivity chaotic regimes low-order modeling dual nature generalized Lorenz model multistability tropical clouds radiation oscillations ventilation effect cloud resolving model cloud dynamics sensitive dependence on initial conditions Zika toy model numerical weather prediction (NWP) Courant–Friedrichs–Lewy (CFL) criterion Purdue regional climate model (PRCM) convective available potential energy (CAPE) shallow water equations (SWE) Bernoulli function dynamics system forward–backward scheme leapfrog scheme thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::R Earth Sciences, Geography, Environment, Planning::RB Earth sciences::RBP Meteorology and climatology |
| url | ONIX_20231130_9783036589107_35 |