Complexus mundi :: emergent patterns in nature /
This important book reviews applications of optimization and optimal control theory to modern problems in physics, nano-science and finance. The theory presented here can be efficiently applied to various problems, such as the determination of the optimal shape of a laser pulse to induce certain exc...
Gespeichert in:
| Weitere Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; Hackensack, N.J. :
World Scientific,
©2006.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This important book reviews applications of optimization and optimal control theory to modern problems in physics, nano-science and finance. The theory presented here can be efficiently applied to various problems, such as the determination of the optimal shape of a laser pulse to induce certain excitations in quantum systems, the optimal design of nanostructured materials and devices, or the control of chaotic systems and minimization of the forecast error for a given forecasting model (for example, artificial neural networks). Starting from a brief review of the history of variational calculus, the book discusses optimal control theory and global optimization using modern numerical techniques. Key elements of chaos theory and basics of fractional derivatives, which are useful in control and forecast of complex dynamical systems, are presented. The coverage includes several interdisciplinary problems to demonstrate the efficiency of the presented algorithms, and different methods of f. |
| Beschreibung: | 1 online resource (xi, 346 pages) : illustrations (some color) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789812774217 9812774211 1281919357 9781281919359 |
Internformat
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| 245 | 0 | 0 | |a Complexus mundi : |b emergent patterns in nature / |c editor, Miroslav M. Novak. |
| 260 | |a Singapore ; |a Hackensack, N.J. : |b World Scientific, |c ©2006. | ||
| 300 | |a 1 online resource (xi, 346 pages) : |b illustrations (some color) | ||
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| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Preface / M.M. Novak -- Structure of genetic regulatory networks: evidence for scale free networks / L.S. Liebovitch, V.K. Jirsa and L.A. Shehadeh -- Modelling fractal dynamics / B.J. West -- Fractional relaxation of distributed order / R. Gorenflo and F. Mainardi -- Fractional time: dishomogenous Poisson processes vs. homogeneous non-Poisson processes / P. Allegrini [and others] -- Markov memory in multifractal natural processes / N. Papasimakis and F. Pallikari -- Description of complex systems in terms of self-organization processes of prime integer relations / V. Korotkikh and G. Korotkikh -- Dynamical decomposition of multifractal time series as fractal evolution and long-term cycles: applications to foreign currency exchange market / A. Turiel and C. Perez-Vicente -- Fractal sets from noninvertible maps / Ch. Mira -- A generative construction and visualization of 3D fractal measures / T. Martyn -- Complexity in nature and society: complexity management in the age of globalization / K. Mainzer -- Fractals, complexity and chaos in supply chain networks / M. Pearson -- The effects of different competition rules on the Power-Law exponent of high income distributions / K. Yamamoto [and others] -- Synergetics on its way to the life sciences / H. Haken -- Complexity, fractals, nature and industrial design: some connections / N. Sala -- Modelling pattern formation upon laser-induced etching / A. Mora [and others] -- Fractal properties of some machined surfaces / T.R. Thomas and B.-G. Rosén -- Fractals, morphological spectrum and complexity of interfacial patterns in non-equilibrium solidification / P.K. Galenko and D.M. Herlach -- Competition of doublon structure in the phase-field model / S. Tokunaga and H. Sakaguchi -- Study of thermal field in composite materials / P. Stefkova, O. Zmeskal and R. Capousek -- Simulation of geochemical banding in acidization-precipitation experiments in-situ / M. Msharrafieh, M. Al-Ghoul and R. Sultan -- Bulk mediated surface diffusion: non Markovian and biased behavior / J.A. Revelli, C.E. Budde and H.S. Wio -- Multifractal formalism for remote sensing: a contribution to the description and the understanding of meteorological phenomena in satellite images / J. Grazzini, A. Turiel and H. Yahia -- The distance ratio fractal image / X.-Z. Zhang, Z.-X. Wang and T.-Y. Lv -- Iterated function systems in mixed Euclidean and p-adic spaces / B. Sing -- Multifractality of the multiplicative autoregressive point processes / B. Kaulakys [and others] -- Analysis of geographical distribution patterns in plants using fractals / A. Bari [and others] -- Hierarchy of cellular automata in relation to control of chaos or anticontrol / M. Markus, M. Schmick and E. Goles -- Fractal analysis of the images using wavelet transformation / P. Jerabkova, O. Zmeskal and J. Haderka -- Clustering phenomena in the time distribution of lightning / L. Telesca, M. Berbardi and C. Rovelli -- A cornucopia of connections: finding four familiar fractals in the Tower of Hanoi / D.R. Camp -- Monitoring the depth of anaesthesia using fractal complexity method / W. Klonowski [and others] -- The complex couplings and Gompertzian dynamics / P. Waliszewski and J. Konarski. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a This important book reviews applications of optimization and optimal control theory to modern problems in physics, nano-science and finance. The theory presented here can be efficiently applied to various problems, such as the determination of the optimal shape of a laser pulse to induce certain excitations in quantum systems, the optimal design of nanostructured materials and devices, or the control of chaotic systems and minimization of the forecast error for a given forecasting model (for example, artificial neural networks). Starting from a brief review of the history of variational calculus, the book discusses optimal control theory and global optimization using modern numerical techniques. Key elements of chaos theory and basics of fractional derivatives, which are useful in control and forecast of complex dynamical systems, are presented. The coverage includes several interdisciplinary problems to demonstrate the efficiency of the presented algorithms, and different methods of f. | ||
| 650 | 0 | |a Fractals. |0 http://id.loc.gov/authorities/subjects/sh85051147 | |
| 650 | 0 | |a Multifractals. |0 http://id.loc.gov/authorities/subjects/sh92006471 | |
| 650 | 6 | |a Fractales. | |
| 650 | 6 | |a Multifractales. | |
| 650 | 7 | |a fractals. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Fractals |2 fast | |
| 650 | 7 | |a Multifractals |2 fast | |
| 700 | 1 | |a Novak, M. M. |q (Miroslav Michal), |d 1949- |1 https://id.oclc.org/worldcat/entity/E39PCjHKXQqwKxW8mCYrXXhCQq |0 http://id.loc.gov/authorities/names/n88268280 | |
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| contents | Preface / M.M. Novak -- Structure of genetic regulatory networks: evidence for scale free networks / L.S. Liebovitch, V.K. Jirsa and L.A. Shehadeh -- Modelling fractal dynamics / B.J. West -- Fractional relaxation of distributed order / R. Gorenflo and F. Mainardi -- Fractional time: dishomogenous Poisson processes vs. homogeneous non-Poisson processes / P. Allegrini [and others] -- Markov memory in multifractal natural processes / N. Papasimakis and F. Pallikari -- Description of complex systems in terms of self-organization processes of prime integer relations / V. Korotkikh and G. Korotkikh -- Dynamical decomposition of multifractal time series as fractal evolution and long-term cycles: applications to foreign currency exchange market / A. Turiel and C. Perez-Vicente -- Fractal sets from noninvertible maps / Ch. Mira -- A generative construction and visualization of 3D fractal measures / T. Martyn -- Complexity in nature and society: complexity management in the age of globalization / K. Mainzer -- Fractals, complexity and chaos in supply chain networks / M. Pearson -- The effects of different competition rules on the Power-Law exponent of high income distributions / K. Yamamoto [and others] -- Synergetics on its way to the life sciences / H. Haken -- Complexity, fractals, nature and industrial design: some connections / N. Sala -- Modelling pattern formation upon laser-induced etching / A. Mora [and others] -- Fractal properties of some machined surfaces / T.R. Thomas and B.-G. Rosén -- Fractals, morphological spectrum and complexity of interfacial patterns in non-equilibrium solidification / P.K. Galenko and D.M. Herlach -- Competition of doublon structure in the phase-field model / S. Tokunaga and H. Sakaguchi -- Study of thermal field in composite materials / P. Stefkova, O. Zmeskal and R. Capousek -- Simulation of geochemical banding in acidization-precipitation experiments in-situ / M. Msharrafieh, M. Al-Ghoul and R. Sultan -- Bulk mediated surface diffusion: non Markovian and biased behavior / J.A. Revelli, C.E. Budde and H.S. Wio -- Multifractal formalism for remote sensing: a contribution to the description and the understanding of meteorological phenomena in satellite images / J. Grazzini, A. Turiel and H. Yahia -- The distance ratio fractal image / X.-Z. Zhang, Z.-X. Wang and T.-Y. Lv -- Iterated function systems in mixed Euclidean and p-adic spaces / B. Sing -- Multifractality of the multiplicative autoregressive point processes / B. Kaulakys [and others] -- Analysis of geographical distribution patterns in plants using fractals / A. Bari [and others] -- Hierarchy of cellular automata in relation to control of chaos or anticontrol / M. Markus, M. Schmick and E. Goles -- Fractal analysis of the images using wavelet transformation / P. Jerabkova, O. Zmeskal and J. Haderka -- Clustering phenomena in the time distribution of lightning / L. Telesca, M. Berbardi and C. Rovelli -- A cornucopia of connections: finding four familiar fractals in the Tower of Hanoi / D.R. Camp -- Monitoring the depth of anaesthesia using fractal complexity method / W. Klonowski [and others] -- The complex couplings and Gompertzian dynamics / P. Waliszewski and J. Konarski. |
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| discipline | Mathematik |
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The theory presented here can be efficiently applied to various problems, such as the determination of the optimal shape of a laser pulse to induce certain excitations in quantum systems, the optimal design of nanostructured materials and devices, or the control of chaotic systems and minimization of the forecast error for a given forecasting model (for example, artificial neural networks). Starting from a brief review of the history of variational calculus, the book discusses optimal control theory and global optimization using modern numerical techniques. Key elements of chaos theory and basics of fractional derivatives, which are useful in control and forecast of complex dynamical systems, are presented. 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| id | ZDB-4-EBA-ocn299585225 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:38Z |
| institution | BVB |
| isbn | 9789812774217 9812774211 1281919357 9781281919359 |
| language | English |
| oclc_num | 299585225 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xi, 346 pages) : illustrations (some color) |
| psigel | ZDB-4-EBA |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | World Scientific, |
| record_format | marc |
| spelling | Complexus mundi : emergent patterns in nature / editor, Miroslav M. Novak. Singapore ; Hackensack, N.J. : World Scientific, ©2006. 1 online resource (xi, 346 pages) : illustrations (some color) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Includes bibliographical references and index. Preface / M.M. Novak -- Structure of genetic regulatory networks: evidence for scale free networks / L.S. Liebovitch, V.K. Jirsa and L.A. Shehadeh -- Modelling fractal dynamics / B.J. West -- Fractional relaxation of distributed order / R. Gorenflo and F. Mainardi -- Fractional time: dishomogenous Poisson processes vs. homogeneous non-Poisson processes / P. Allegrini [and others] -- Markov memory in multifractal natural processes / N. Papasimakis and F. Pallikari -- Description of complex systems in terms of self-organization processes of prime integer relations / V. Korotkikh and G. Korotkikh -- Dynamical decomposition of multifractal time series as fractal evolution and long-term cycles: applications to foreign currency exchange market / A. Turiel and C. Perez-Vicente -- Fractal sets from noninvertible maps / Ch. Mira -- A generative construction and visualization of 3D fractal measures / T. Martyn -- Complexity in nature and society: complexity management in the age of globalization / K. Mainzer -- Fractals, complexity and chaos in supply chain networks / M. Pearson -- The effects of different competition rules on the Power-Law exponent of high income distributions / K. Yamamoto [and others] -- Synergetics on its way to the life sciences / H. Haken -- Complexity, fractals, nature and industrial design: some connections / N. Sala -- Modelling pattern formation upon laser-induced etching / A. Mora [and others] -- Fractal properties of some machined surfaces / T.R. Thomas and B.-G. Rosén -- Fractals, morphological spectrum and complexity of interfacial patterns in non-equilibrium solidification / P.K. Galenko and D.M. Herlach -- Competition of doublon structure in the phase-field model / S. Tokunaga and H. Sakaguchi -- Study of thermal field in composite materials / P. Stefkova, O. Zmeskal and R. Capousek -- Simulation of geochemical banding in acidization-precipitation experiments in-situ / M. Msharrafieh, M. Al-Ghoul and R. Sultan -- Bulk mediated surface diffusion: non Markovian and biased behavior / J.A. Revelli, C.E. Budde and H.S. Wio -- Multifractal formalism for remote sensing: a contribution to the description and the understanding of meteorological phenomena in satellite images / J. Grazzini, A. Turiel and H. Yahia -- The distance ratio fractal image / X.-Z. Zhang, Z.-X. Wang and T.-Y. Lv -- Iterated function systems in mixed Euclidean and p-adic spaces / B. Sing -- Multifractality of the multiplicative autoregressive point processes / B. Kaulakys [and others] -- Analysis of geographical distribution patterns in plants using fractals / A. Bari [and others] -- Hierarchy of cellular automata in relation to control of chaos or anticontrol / M. Markus, M. Schmick and E. Goles -- Fractal analysis of the images using wavelet transformation / P. Jerabkova, O. Zmeskal and J. Haderka -- Clustering phenomena in the time distribution of lightning / L. Telesca, M. Berbardi and C. Rovelli -- A cornucopia of connections: finding four familiar fractals in the Tower of Hanoi / D.R. Camp -- Monitoring the depth of anaesthesia using fractal complexity method / W. Klonowski [and others] -- The complex couplings and Gompertzian dynamics / P. Waliszewski and J. Konarski. Print version record. This important book reviews applications of optimization and optimal control theory to modern problems in physics, nano-science and finance. The theory presented here can be efficiently applied to various problems, such as the determination of the optimal shape of a laser pulse to induce certain excitations in quantum systems, the optimal design of nanostructured materials and devices, or the control of chaotic systems and minimization of the forecast error for a given forecasting model (for example, artificial neural networks). Starting from a brief review of the history of variational calculus, the book discusses optimal control theory and global optimization using modern numerical techniques. Key elements of chaos theory and basics of fractional derivatives, which are useful in control and forecast of complex dynamical systems, are presented. The coverage includes several interdisciplinary problems to demonstrate the efficiency of the presented algorithms, and different methods of f. Fractals. http://id.loc.gov/authorities/subjects/sh85051147 Multifractals. http://id.loc.gov/authorities/subjects/sh92006471 Fractales. Multifractales. fractals. aat MATHEMATICS Topology. bisacsh Fractals fast Multifractals fast Novak, M. M. (Miroslav Michal), 1949- https://id.oclc.org/worldcat/entity/E39PCjHKXQqwKxW8mCYrXXhCQq http://id.loc.gov/authorities/names/n88268280 has work: Complexus mundi (Text) https://id.oclc.org/worldcat/entity/E39PCGQbVTdkfXXr3p4Q8TpvDy https://id.oclc.org/worldcat/ontology/hasWork 9789812566669 981256666X FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210564 Volltext |
| spellingShingle | Complexus mundi : emergent patterns in nature / Preface / M.M. Novak -- Structure of genetic regulatory networks: evidence for scale free networks / L.S. Liebovitch, V.K. Jirsa and L.A. Shehadeh -- Modelling fractal dynamics / B.J. West -- Fractional relaxation of distributed order / R. Gorenflo and F. Mainardi -- Fractional time: dishomogenous Poisson processes vs. homogeneous non-Poisson processes / P. Allegrini [and others] -- Markov memory in multifractal natural processes / N. Papasimakis and F. Pallikari -- Description of complex systems in terms of self-organization processes of prime integer relations / V. Korotkikh and G. Korotkikh -- Dynamical decomposition of multifractal time series as fractal evolution and long-term cycles: applications to foreign currency exchange market / A. Turiel and C. Perez-Vicente -- Fractal sets from noninvertible maps / Ch. Mira -- A generative construction and visualization of 3D fractal measures / T. Martyn -- Complexity in nature and society: complexity management in the age of globalization / K. Mainzer -- Fractals, complexity and chaos in supply chain networks / M. Pearson -- The effects of different competition rules on the Power-Law exponent of high income distributions / K. Yamamoto [and others] -- Synergetics on its way to the life sciences / H. Haken -- Complexity, fractals, nature and industrial design: some connections / N. Sala -- Modelling pattern formation upon laser-induced etching / A. Mora [and others] -- Fractal properties of some machined surfaces / T.R. Thomas and B.-G. Rosén -- Fractals, morphological spectrum and complexity of interfacial patterns in non-equilibrium solidification / P.K. Galenko and D.M. Herlach -- Competition of doublon structure in the phase-field model / S. Tokunaga and H. Sakaguchi -- Study of thermal field in composite materials / P. Stefkova, O. Zmeskal and R. Capousek -- Simulation of geochemical banding in acidization-precipitation experiments in-situ / M. Msharrafieh, M. Al-Ghoul and R. Sultan -- Bulk mediated surface diffusion: non Markovian and biased behavior / J.A. Revelli, C.E. Budde and H.S. Wio -- Multifractal formalism for remote sensing: a contribution to the description and the understanding of meteorological phenomena in satellite images / J. Grazzini, A. Turiel and H. Yahia -- The distance ratio fractal image / X.-Z. Zhang, Z.-X. Wang and T.-Y. Lv -- Iterated function systems in mixed Euclidean and p-adic spaces / B. Sing -- Multifractality of the multiplicative autoregressive point processes / B. Kaulakys [and others] -- Analysis of geographical distribution patterns in plants using fractals / A. Bari [and others] -- Hierarchy of cellular automata in relation to control of chaos or anticontrol / M. Markus, M. Schmick and E. Goles -- Fractal analysis of the images using wavelet transformation / P. Jerabkova, O. Zmeskal and J. Haderka -- Clustering phenomena in the time distribution of lightning / L. Telesca, M. Berbardi and C. Rovelli -- A cornucopia of connections: finding four familiar fractals in the Tower of Hanoi / D.R. Camp -- Monitoring the depth of anaesthesia using fractal complexity method / W. Klonowski [and others] -- The complex couplings and Gompertzian dynamics / P. Waliszewski and J. Konarski. Fractals. http://id.loc.gov/authorities/subjects/sh85051147 Multifractals. http://id.loc.gov/authorities/subjects/sh92006471 Fractales. Multifractales. fractals. aat MATHEMATICS Topology. bisacsh Fractals fast Multifractals fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85051147 http://id.loc.gov/authorities/subjects/sh92006471 |
| title | Complexus mundi : emergent patterns in nature / |
| title_auth | Complexus mundi : emergent patterns in nature / |
| title_exact_search | Complexus mundi : emergent patterns in nature / |
| title_full | Complexus mundi : emergent patterns in nature / editor, Miroslav M. Novak. |
| title_fullStr | Complexus mundi : emergent patterns in nature / editor, Miroslav M. Novak. |
| title_full_unstemmed | Complexus mundi : emergent patterns in nature / editor, Miroslav M. Novak. |
| title_short | Complexus mundi : |
| title_sort | complexus mundi emergent patterns in nature |
| title_sub | emergent patterns in nature / |
| topic | Fractals. http://id.loc.gov/authorities/subjects/sh85051147 Multifractals. http://id.loc.gov/authorities/subjects/sh92006471 Fractales. Multifractales. fractals. aat MATHEMATICS Topology. bisacsh Fractals fast Multifractals fast |
| topic_facet | Fractals. Multifractals. Fractales. Multifractales. fractals. MATHEMATICS Topology. Fractals Multifractals |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210564 |
| work_keys_str_mv | AT novakmm complexusmundiemergentpatternsinnature |