Nonlinear dynamics in complex systems: theory and applications for the life-, neuro- and natural sciences
<p>With many areas of science reaching across their boundaries and becoming more and more interdisciplinary, students and researchers in these fields are confronted with techniques and tools not covered by their particular education. Especially in the life- and neurosciences quantitative model...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2013
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| Schlagworte: | |
| Online-Zugang: | BTU01 FAB01 FHA01 FHI01 FHN01 FHR01 FKE01 FWS01 UBY01 Volltext |
| Zusammenfassung: | <p>With many areas of science reaching across their boundaries and becoming more and more interdisciplinary, students and researchers in these fields are confronted with techniques and tools not covered by their particular education. Especially in the life- and neurosciences quantitative models based on nonlinear dynamics and complex systems are becoming as frequently implemented as traditional statistical analysis. Unfamiliarity with the terminology and rigorous mathematics may discourage many scientists to adopt these methods for their own work, even though such reluctance in most cases is not justified.This book bridges this gap by introducing the procedures and methods used for analyzing nonlinear dynamical systems. In Part I, the concepts of fixed points, phase space, stability and transitions, among others, are discussed in great detail and implemented on the basis of example elementary systems. |
| Beschreibung: | <p>Part I Nonlinear Dynamical Systems -- Introduction -- One-dimensional Systems -- Two-Dimensional Systems -- Higher-Dimensional Systems and Chaos -- Discrete Maps and Iterations in Space -- Stochastic Systems -- Part II: Model Systems -- Haken-Kelso-Bunz (HKB) Model -- Self-organization and Synergetics -- Neuronal Models -- Part III: Mathematical Basics -- Mathematical Basics -- The Coupled HKB System -- Numerical Procedures and Computer Simulations -- Solutions.</p> |
| Beschreibung: | 1 Online-Ressource (XIV, 236 p. 117 illus) |
| ISBN: | 9783642335525 |
| DOI: | 10.1007/978-3-642-33552-5 |
Internformat
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Datensatz im Suchindex
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| _version_ | 1824554326682501120 |
| any_adam_object | |
| author | Fuchs, Armin |
| author_facet | Fuchs, Armin |
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| author_sort | Fuchs, Armin |
| author_variant | a f af |
| building | Verbundindex |
| bvnumber | BV040942907 |
| classification_rvk | SK 810 SK 950 |
| collection | ZDB-2-ENG |
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| dewey-full | 519 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-33552-5 |
| format | Electronic eBook |
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| id | DE-604.BV040942907 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-20T06:50:00Z |
| institution | BVB |
| isbn | 9783642335525 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025921626 |
| oclc_num | 820480337 |
| open_access_boolean | |
| owner | DE-898 DE-BY-UBR DE-634 DE-573 DE-1043 DE-92 DE-Aug4 DE-859 DE-706 DE-863 DE-BY-FWS |
| owner_facet | DE-898 DE-BY-UBR DE-634 DE-573 DE-1043 DE-92 DE-Aug4 DE-859 DE-706 DE-863 DE-BY-FWS |
| physical | 1 Online-Ressource (XIV, 236 p. 117 illus) |
| psigel | ZDB-2-ENG |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Springer |
| record_format | marc |
| spellingShingle | Fuchs, Armin Nonlinear dynamics in complex systems theory and applications for the life-, neuro- and natural sciences Ingenieurwissenschaften Engineering Neurosciences Differentiable dynamical systems Systems theory Engineering mathematics Vibration Nichtlineares dynamisches System (DE-588)4126142-2 gnd Komplexes System (DE-588)4114261-5 gnd |
| subject_GND | (DE-588)4126142-2 (DE-588)4114261-5 |
| title | Nonlinear dynamics in complex systems theory and applications for the life-, neuro- and natural sciences |
| title_auth | Nonlinear dynamics in complex systems theory and applications for the life-, neuro- and natural sciences |
| title_exact_search | Nonlinear dynamics in complex systems theory and applications for the life-, neuro- and natural sciences |
| title_full | Nonlinear dynamics in complex systems theory and applications for the life-, neuro- and natural sciences Armin Fuchs |
| title_fullStr | Nonlinear dynamics in complex systems theory and applications for the life-, neuro- and natural sciences Armin Fuchs |
| title_full_unstemmed | Nonlinear dynamics in complex systems theory and applications for the life-, neuro- and natural sciences Armin Fuchs |
| title_short | Nonlinear dynamics in complex systems |
| title_sort | nonlinear dynamics in complex systems theory and applications for the life neuro and natural sciences |
| title_sub | theory and applications for the life-, neuro- and natural sciences |
| topic | Ingenieurwissenschaften Engineering Neurosciences Differentiable dynamical systems Systems theory Engineering mathematics Vibration Nichtlineares dynamisches System (DE-588)4126142-2 gnd Komplexes System (DE-588)4114261-5 gnd |
| topic_facet | Ingenieurwissenschaften Engineering Neurosciences Differentiable dynamical systems Systems theory Engineering mathematics Vibration Nichtlineares dynamisches System Komplexes System |
| url | https://doi.org/10.1007/978-3-642-33552-5 |
| work_keys_str_mv | AT fuchsarmin nonlineardynamicsincomplexsystemstheoryandapplicationsforthelifeneuroandnaturalsciences |