Differentiability and fractality in dynamics of physical systems:
"Using Cartan's differential 1-forms theory, and assuming that the motion variables depend on Euclidean invariants, certain dynamics of the material point and systems of material points are developed. Within such a frame, the Newtonian force as mass inertial interaction at the intragalacti...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Publishing Co. Pte Ltd.
c2016
|
| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| Zusammenfassung: | "Using Cartan's differential 1-forms theory, and assuming that the motion variables depend on Euclidean invariants, certain dynamics of the material point and systems of material points are developed. Within such a frame, the Newtonian force as mass inertial interaction at the intragalactic scale, and the Hubble-type repulsive interaction at intergalactic distances, are developed. The wave-corpuscle duality implies movements on curves of constant informational energy, which implies both quantizations and dynamics of velocity limits. Analysis of motion of a charged particle in a combined field which is electromagnetic and with constant magnetism implies fractal trajectories. Mechanics of material points in a fractalic space is constructed, and various applications — fractal atom, potential well, free particle, etc. — are discussed."-- |
| Beschreibung: | Title from PDF file title page (viewed October 29, 2015) |
| Beschreibung: | 1 online resource (xvi, 282 p.) ill. (some col.) |
| ISBN: | 9789814678391 |
Internformat
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| 100 | 1 | |a Mercheş, Ioan |d 1937- |e Verfasser |0 (DE-588)1019621214 |4 aut | |
| 245 | 1 | 0 | |a Differentiability and fractality in dynamics of physical systems |c Ioan Merches, Maricel Agop |
| 264 | 1 | |a Singapore |b World Scientific Publishing Co. Pte Ltd. |c c2016 | |
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| 500 | |a Title from PDF file title page (viewed October 29, 2015) | ||
| 520 | |a "Using Cartan's differential 1-forms theory, and assuming that the motion variables depend on Euclidean invariants, certain dynamics of the material point and systems of material points are developed. Within such a frame, the Newtonian force as mass inertial interaction at the intragalactic scale, and the Hubble-type repulsive interaction at intergalactic distances, are developed. The wave-corpuscle duality implies movements on curves of constant informational energy, which implies both quantizations and dynamics of velocity limits. Analysis of motion of a charged particle in a combined field which is electromagnetic and with constant magnetism implies fractal trajectories. Mechanics of material points in a fractalic space is constructed, and various applications — fractal atom, potential well, free particle, etc. — are discussed."-- | ||
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Datensatz im Suchindex
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| author_GND | (DE-588)1019621214 (DE-588)1168388961 |
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| id | DE-604.BV044640687 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:57:58Z |
| institution | BVB |
| isbn | 9789814678391 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030038658 |
| oclc_num | 988732196 |
| open_access_boolean | |
| owner | DE-92 |
| owner_facet | DE-92 |
| physical | 1 online resource (xvi, 282 p.) ill. (some col.) |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | World Scientific Publishing Co. Pte Ltd. |
| record_format | marc |
| spelling | Mercheş, Ioan 1937- Verfasser (DE-588)1019621214 aut Differentiability and fractality in dynamics of physical systems Ioan Merches, Maricel Agop Singapore World Scientific Publishing Co. Pte Ltd. c2016 1 online resource (xvi, 282 p.) ill. (some col.) txt rdacontent c rdamedia cr rdacarrier Title from PDF file title page (viewed October 29, 2015) "Using Cartan's differential 1-forms theory, and assuming that the motion variables depend on Euclidean invariants, certain dynamics of the material point and systems of material points are developed. Within such a frame, the Newtonian force as mass inertial interaction at the intragalactic scale, and the Hubble-type repulsive interaction at intergalactic distances, are developed. The wave-corpuscle duality implies movements on curves of constant informational energy, which implies both quantizations and dynamics of velocity limits. Analysis of motion of a charged particle in a combined field which is electromagnetic and with constant magnetism implies fractal trajectories. Mechanics of material points in a fractalic space is constructed, and various applications — fractal atom, potential well, free particle, etc. — are discussed."-- Differentiable dynamical systems Fractals Mathematical physics lectronic books Agop, Maricel 1955- Sonstige (DE-588)1168388961 oth http://www.worldscientific.com/worldscibooks/10.1142/9606#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Mercheş, Ioan 1937- Differentiability and fractality in dynamics of physical systems Differentiable dynamical systems Fractals Mathematical physics lectronic books |
| title | Differentiability and fractality in dynamics of physical systems |
| title_auth | Differentiability and fractality in dynamics of physical systems |
| title_exact_search | Differentiability and fractality in dynamics of physical systems |
| title_full | Differentiability and fractality in dynamics of physical systems Ioan Merches, Maricel Agop |
| title_fullStr | Differentiability and fractality in dynamics of physical systems Ioan Merches, Maricel Agop |
| title_full_unstemmed | Differentiability and fractality in dynamics of physical systems Ioan Merches, Maricel Agop |
| title_short | Differentiability and fractality in dynamics of physical systems |
| title_sort | differentiability and fractality in dynamics of physical systems |
| topic | Differentiable dynamical systems Fractals Mathematical physics lectronic books |
| topic_facet | Differentiable dynamical systems Fractals Mathematical physics lectronic books |
| url | http://www.worldscientific.com/worldscibooks/10.1142/9606#t=toc |
| work_keys_str_mv | AT merchesioan differentiabilityandfractalityindynamicsofphysicalsystems AT agopmaricel differentiabilityandfractalityindynamicsofphysicalsystems |