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:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Singapore
World Scientific Publishing Co. Pte Ltd.
c2016
|
| Schlagwörter: | |
| Links: | http://www.worldscientific.com/worldscibooks/10.1142/9606#t=toc http://www.worldscientific.com/worldscibooks/10.1142/9606#t=toc |
| 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) |
| Umfang: | 1 online resource (xvi, 282 p.) ill. (some col.) |
| ISBN: | 9789814678391 |
Internformat
MARC
| LEADER | 00000nam a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV044640687 | ||
| 003 | DE-604 | ||
| 005 | 20181004 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 171120s2016 xx a||| o|||| 00||| eng d | ||
| 020 | |a 9789814678391 |c ebook |9 978-981-4678-39-1 | ||
| 024 | 7 | |a 10.1142/9606 |2 doi | |
| 035 | |a (ZDB-124-WOP)00009606 | ||
| 035 | |a (OCoLC)988732196 | ||
| 035 | |a (DE-599)BVBBV044640687 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-92 | ||
| 082 | 0 | |a 515/.39 |2 23 | |
| 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 | |
| 300 | |a 1 online resource (xvi, 282 p.) |b ill. (some col.) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 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."-- | ||
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Fractals | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 4 | |a lectronic books | |
| 700 | 1 | |a Agop, Maricel |d 1955- |e Sonstige |0 (DE-588)1168388961 |4 oth | |
| 856 | 4 | 0 | |u http://www.worldscientific.com/worldscibooks/10.1142/9606#t=toc |x Verlag |z URL des Erstveroeffentlichers |3 Volltext |
| 912 | |a ZDB-124-WOP | ||
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-030038658 | |
| 966 | e | |u http://www.worldscientific.com/worldscibooks/10.1142/9606#t=toc |l DE-92 |p ZDB-124-WOP |q FHN_PDA_WOP |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1826687964233596928 |
|---|---|
| adam_text | |
| any_adam_object | |
| author | Mercheş, Ioan 1937- |
| author_GND | (DE-588)1019621214 (DE-588)1168388961 |
| author_facet | Mercheş, Ioan 1937- |
| author_role | aut |
| author_sort | Mercheş, Ioan 1937- |
| author_variant | i m im |
| building | Verbundindex |
| bvnumber | BV044640687 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00009606 (OCoLC)988732196 (DE-599)BVBBV044640687 |
| dewey-full | 515/.39 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.39 |
| dewey-search | 515/.39 |
| dewey-sort | 3515 239 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000zc 4500</leader><controlfield tag="001">BV044640687</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20181004</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">171120s2016 xx a||| o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789814678391</subfield><subfield code="c">ebook</subfield><subfield code="9">978-981-4678-39-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1142/9606</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-124-WOP)00009606</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)988732196</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044640687</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.39</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mercheş, Ioan</subfield><subfield code="d">1937-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1019621214</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Differentiability and fractality in dynamics of physical systems</subfield><subfield code="c">Ioan Merches, Maricel Agop</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore</subfield><subfield code="b">World Scientific Publishing Co. Pte Ltd.</subfield><subfield code="c">c2016</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xvi, 282 p.)</subfield><subfield code="b">ill. (some col.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from PDF file title page (viewed October 29, 2015)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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."--</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differentiable dynamical systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fractals</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">lectronic books</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Agop, Maricel</subfield><subfield code="d">1955-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)1168388961</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.worldscientific.com/worldscibooks/10.1142/9606#t=toc</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveroeffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-124-WOP</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030038658</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://www.worldscientific.com/worldscibooks/10.1142/9606#t=toc</subfield><subfield code="l">DE-92</subfield><subfield code="p">ZDB-124-WOP</subfield><subfield code="q">FHN_PDA_WOP</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV044640687 |
| illustrated | Illustrated |
| indexdate | 2025-03-15T19:03:15Z |
| 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 |