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Differentiability and fractality in ...

Agop, Maricel.

Differentiability and fractality in dynamics of physical systems[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	515/.39
書名/作者:	Differentiability and fractality in dynamics of physical systems/ Ioan Merches, Maricel Agop.
作者:	Merches, Ioan.
其他作者:	Agop, Maricel.
出版者:	Singapore : : World Scientific Publishing,, c2016.
面頁冊數:	1 online resource (xvi, 282 p.) : : ill. (some col.)
標題:	Differentiable dynamical systems.
標題:	Fractals.
標題:	Mathematical physics.
ISBN:	9789814678391
書目註:	Includes bibliographical references and index.
摘要、提要註:	"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."--
電子資源:	http://www.worldscientific.com/worldscibooks/10.1142/9606#t=toc

Differentiability and fractality in dynamics of physical systems[electronic resource] /
Merches, Ioan.

Differentiability and fractality in dynamics of physical systems[electronic resource] /Ioan Merches, Maricel Agop. - 1st ed. - Singapore :World Scientific Publishing,c2016. - 1 online resource (xvi, 282 p.) :ill. (some col.)

Includes bibliographical references and index.

"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."--

Electronic reproduction.
Singapore :
World Scientific,
[2015]

ISBN: 9789814678391

LCCN: 2015006096Subjects--Topical Terms:

381053
Differentiable dynamical systems.

LC Class. No.: QA614.8 / .M46 2016

Dewey Class. No.: 515/.39

Differentiability and fractality in dynamics of physical systems[electronic resource] /
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020 $z 9789814678384 $q (hbk.)
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100 1 $a Merches, Ioan. $3 467725
245 1 0 $a Differentiability and fractality in dynamics of physical systems $h [electronic resource] / $c Ioan Merches, Maricel Agop.
250 $a 1st ed.
260 $a Singapore : $b World Scientific Publishing, $c c2016.
300 $a 1 online resource (xvi, 282 p.) : $b ill. (some col.)
504 $a Includes bibliographical references and index.
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."-- $c Provided by publisher.
533 $a Electronic reproduction. $b Singapore : $c World Scientific, $d [2015]
588 $a Title from PDF file title page (viewed October 29, 2015)
650 0 $a Differentiable dynamical systems. $3 381053
650 0 $a Fractals. $3 189086
650 0 $a Mathematical physics. $3 182314
700 1 $a Agop, Maricel. $3 710560
856 4 0 $u http://www.worldscientific.com/worldscibooks/10.1142/9606#t=toc

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