The correlation functions near intermittency in a one-dimensional Piecewise parabolic map
| ISSN: |
1572-9613
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|---|---|
| Keywords: |
Weak intermittency ; chaos ; phase transition ; correlation function ; scaling function ; crossover behavior ; critical slowing down
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| Source: |
Springer Online Journal Archives 1860-2000
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| Topics: |
Physics
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| Notes: |
Abstract Piecewise parabolic maps constitute a family of maps in the fully developed chaotic state and depending on a parameter that can be smoothly tuned to a weakly intermittent situation. Approximate analytic expressions are derived for the corresponding correlation functions. These expressions produce power-law decay at intermittency and a crossover from power-law decay to exponential decay below intermittency. It is shown that the scaling functions and the exponent of the power law depend on the kind of the correlations.
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| Type of Medium: |
Electronic Resource
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| URL: |
| _version_ | 1798296490156752898 |
|---|---|
| autor | Lustfeld, H. Bene, J. Kaufmann, Z. |
| autorsonst | Lustfeld, H. Bene, J. Kaufmann, Z. |
| book_url | http://dx.doi.org/10.1007/BF02179558 |
| datenlieferant | nat_lic_papers |
| hauptsatz | hsatz_simple |
| identnr | NLM197941672 |
| issn | 1572-9613 |
| journal_name | Journal of statistical physics |
| materialart | 1 |
| notes | Abstract Piecewise parabolic maps constitute a family of maps in the fully developed chaotic state and depending on a parameter that can be smoothly tuned to a weakly intermittent situation. Approximate analytic expressions are derived for the corresponding correlation functions. These expressions produce power-law decay at intermittency and a crossover from power-law decay to exponential decay below intermittency. It is shown that the scaling functions and the exponent of the power law depend on the kind of the correlations. |
| package_name | Springer |
| publikationsjahr_anzeige | 1996 |
| publikationsjahr_facette | 1996 |
| publikationsjahr_intervall | 8004:1995-1999 |
| publikationsjahr_sort | 1996 |
| publisher | Springer |
| reference | 83 (1996), S. 1199-1210 |
| schlagwort | Weak intermittency chaos phase transition correlation function scaling function crossover behavior critical slowing down |
| search_space | articles |
| shingle_author_1 | Lustfeld, H. Bene, J. Kaufmann, Z. |
| shingle_author_2 | Lustfeld, H. Bene, J. Kaufmann, Z. |
| shingle_author_3 | Lustfeld, H. Bene, J. Kaufmann, Z. |
| shingle_author_4 | Lustfeld, H. Bene, J. Kaufmann, Z. |
| shingle_catch_all_1 | Lustfeld, H. Bene, J. Kaufmann, Z. The correlation functions near intermittency in a one-dimensional Piecewise parabolic map Weak intermittency chaos phase transition correlation function scaling function crossover behavior critical slowing down Weak intermittency chaos phase transition correlation function scaling function crossover behavior critical slowing down Abstract Piecewise parabolic maps constitute a family of maps in the fully developed chaotic state and depending on a parameter that can be smoothly tuned to a weakly intermittent situation. Approximate analytic expressions are derived for the corresponding correlation functions. These expressions produce power-law decay at intermittency and a crossover from power-law decay to exponential decay below intermittency. It is shown that the scaling functions and the exponent of the power law depend on the kind of the correlations. 1572-9613 15729613 Springer |
| shingle_catch_all_2 | Lustfeld, H. Bene, J. Kaufmann, Z. The correlation functions near intermittency in a one-dimensional Piecewise parabolic map Weak intermittency chaos phase transition correlation function scaling function crossover behavior critical slowing down Weak intermittency chaos phase transition correlation function scaling function crossover behavior critical slowing down Abstract Piecewise parabolic maps constitute a family of maps in the fully developed chaotic state and depending on a parameter that can be smoothly tuned to a weakly intermittent situation. Approximate analytic expressions are derived for the corresponding correlation functions. These expressions produce power-law decay at intermittency and a crossover from power-law decay to exponential decay below intermittency. It is shown that the scaling functions and the exponent of the power law depend on the kind of the correlations. 1572-9613 15729613 Springer |
| shingle_catch_all_3 | Lustfeld, H. Bene, J. Kaufmann, Z. The correlation functions near intermittency in a one-dimensional Piecewise parabolic map Weak intermittency chaos phase transition correlation function scaling function crossover behavior critical slowing down Weak intermittency chaos phase transition correlation function scaling function crossover behavior critical slowing down Abstract Piecewise parabolic maps constitute a family of maps in the fully developed chaotic state and depending on a parameter that can be smoothly tuned to a weakly intermittent situation. Approximate analytic expressions are derived for the corresponding correlation functions. These expressions produce power-law decay at intermittency and a crossover from power-law decay to exponential decay below intermittency. It is shown that the scaling functions and the exponent of the power law depend on the kind of the correlations. 1572-9613 15729613 Springer |
| shingle_catch_all_4 | Lustfeld, H. Bene, J. Kaufmann, Z. The correlation functions near intermittency in a one-dimensional Piecewise parabolic map Weak intermittency chaos phase transition correlation function scaling function crossover behavior critical slowing down Weak intermittency chaos phase transition correlation function scaling function crossover behavior critical slowing down Abstract Piecewise parabolic maps constitute a family of maps in the fully developed chaotic state and depending on a parameter that can be smoothly tuned to a weakly intermittent situation. Approximate analytic expressions are derived for the corresponding correlation functions. These expressions produce power-law decay at intermittency and a crossover from power-law decay to exponential decay below intermittency. It is shown that the scaling functions and the exponent of the power law depend on the kind of the correlations. 1572-9613 15729613 Springer |
| shingle_title_1 | The correlation functions near intermittency in a one-dimensional Piecewise parabolic map |
| shingle_title_2 | The correlation functions near intermittency in a one-dimensional Piecewise parabolic map |
| shingle_title_3 | The correlation functions near intermittency in a one-dimensional Piecewise parabolic map |
| shingle_title_4 | The correlation functions near intermittency in a one-dimensional Piecewise parabolic map |
| sigel_instance_filter | dkfz geomar wilbert ipn albert fhp |
| source_archive | Springer Online Journal Archives 1860-2000 |
| timestamp | 2024-05-06T09:52:55.753Z |
| titel | The correlation functions near intermittency in a one-dimensional Piecewise parabolic map |
| titel_suche | The correlation functions near intermittency in a one-dimensional Piecewise parabolic map |
| topic | U |
| uid | nat_lic_papers_NLM197941672 |