Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus
Current advances in the knowledge of nonlinear dynamical networks, systems and processes, as well as their unified repercussions, allow us to include some typical complex natural phenomena, from the nanoscale to an extra-galactic scale, in an unitarian comprehensive manner. In other words, the phys...
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| Formaat: | Online |
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| Taal: | Engels |
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MDPI - Multidisciplinary Digital Publishing Institute
2023
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| Online toegang: | ONIX_20230911_9783036583365_59 |
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| _version_ | 1869522554042974208 |
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| collection | Directory of Open Access Books |
| description | Current advances in the knowledge of nonlinear dynamical networks, systems and processes, as well as their unified repercussions, allow us to include some typical complex natural phenomena, from the nanoscale to an extra-galactic scale, in an unitarian comprehensive manner. In other words, the physical, biological and financial data, as well as technological ones (mechanical or electronic devices), of complex systems available today can be managed by the same unique conceptual approach, both analytically and through a computer simulation, using effective nonlinear dynamics procedures. This volume collected some important advances in the fields of fractal curves, fractal analysis and fractional calculus, as well as new solutions of fractal differential equations. The works edited in the present technical publication are those that appeared in the Fractal and Fractional journal, in a Special Issue of the same name. |
| format | Online |
| id | doab-20.500.12854ir-113926 |
| 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-1139262024-03-28T03:32:20Z Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus Paun, Viorel-Puiu hidden attractor unstable periodic orbit symbolic dynamics electronic circuit atmosphere multifractal conductivity ceilometer hyperchaos coexisting attractors bifurcation circuit implementation sensitivity uniformly converge non-autonomous discrete systems fractional order slope entropy time series complexity permutation entropy dispersion entropy fractal dimension fractal geometry Minkowski’s loop fractal antenna 6G communication lacunarity time series phase space attractor correlation dimension Zircaloy-4 global bifurcation MEMS resonator homoclinic orbit heteroclinic orbit chaos fractal safe basin pull-in instability delayed feedback fuzzy dispersion entropy feature extraction bearing fault diagnosis offset boosting circuit simulation adaptive synchronization ceramics SEM micrographs fractal analysis autocorrelation dimension PBL dynamics multifractality scale relativity theory radiometer data n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Current advances in the knowledge of nonlinear dynamical networks, systems and processes, as well as their unified repercussions, allow us to include some typical complex natural phenomena, from the nanoscale to an extra-galactic scale, in an unitarian comprehensive manner. In other words, the physical, biological and financial data, as well as technological ones (mechanical or electronic devices), of complex systems available today can be managed by the same unique conceptual approach, both analytically and through a computer simulation, using effective nonlinear dynamics procedures. This volume collected some important advances in the fields of fractal curves, fractal analysis and fractional calculus, as well as new solutions of fractal differential equations. The works edited in the present technical publication are those that appeared in the Fractal and Fractional journal, in a Special Issue of the same name. 2023-09-11T12:02:34Z 2023-09-11T12:02:34Z 2023 book ONIX_20230911_9783036583365_59 9783036583365 9783036583372 https://directory.doabooks.org/handle/20.500.12854/113926 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/7769 https://mdpi.com/books/pdfview/book/7769 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-8337-2 10.3390/books978-3-0365-8337-2 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036583365 9783036583372 276 open access |
| spellingShingle | hidden attractor unstable periodic orbit symbolic dynamics electronic circuit atmosphere multifractal conductivity ceilometer hyperchaos coexisting attractors bifurcation circuit implementation sensitivity uniformly converge non-autonomous discrete systems fractional order slope entropy time series complexity permutation entropy dispersion entropy fractal dimension fractal geometry Minkowski’s loop fractal antenna 6G communication lacunarity time series phase space attractor correlation dimension Zircaloy-4 global bifurcation MEMS resonator homoclinic orbit heteroclinic orbit chaos fractal safe basin pull-in instability delayed feedback fuzzy dispersion entropy feature extraction bearing fault diagnosis offset boosting circuit simulation adaptive synchronization ceramics SEM micrographs fractal analysis autocorrelation dimension PBL dynamics multifractality scale relativity theory radiometer data n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus |
| title | Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus |
| title_full | Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus |
| title_fullStr | Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus |
| title_full_unstemmed | Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus |
| title_short | Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus |
| title_sort | nonlinear dynamics in complex systems via fractals and fractional calculus |
| topic | hidden attractor unstable periodic orbit symbolic dynamics electronic circuit atmosphere multifractal conductivity ceilometer hyperchaos coexisting attractors bifurcation circuit implementation sensitivity uniformly converge non-autonomous discrete systems fractional order slope entropy time series complexity permutation entropy dispersion entropy fractal dimension fractal geometry Minkowski’s loop fractal antenna 6G communication lacunarity time series phase space attractor correlation dimension Zircaloy-4 global bifurcation MEMS resonator homoclinic orbit heteroclinic orbit chaos fractal safe basin pull-in instability delayed feedback fuzzy dispersion entropy feature extraction bearing fault diagnosis offset boosting circuit simulation adaptive synchronization ceramics SEM micrographs fractal analysis autocorrelation dimension PBL dynamics multifractality scale relativity theory radiometer data n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | hidden attractor unstable periodic orbit symbolic dynamics electronic circuit atmosphere multifractal conductivity ceilometer hyperchaos coexisting attractors bifurcation circuit implementation sensitivity uniformly converge non-autonomous discrete systems fractional order slope entropy time series complexity permutation entropy dispersion entropy fractal dimension fractal geometry Minkowski’s loop fractal antenna 6G communication lacunarity time series phase space attractor correlation dimension Zircaloy-4 global bifurcation MEMS resonator homoclinic orbit heteroclinic orbit chaos fractal safe basin pull-in instability delayed feedback fuzzy dispersion entropy feature extraction bearing fault diagnosis offset boosting circuit simulation adaptive synchronization ceramics SEM micrographs fractal analysis autocorrelation dimension PBL dynamics multifractality scale relativity theory radiometer data n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20230911_9783036583365_59 |