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Differentiability and fractality in ...

Agop, Maricel.

Differentiability and fractality in dynamics of physical systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Differentiability and fractality in dynamics of physical systemsIoan Merches, Maricel Agop.
Author:	Merches, Ioan.
other author:	Agop, Maricel.
Published:	Singapore :World Scientific Publishing,c2016.
Description:	1 online resource (xvi, 282 p.) :ill. (some col.)
Subject:	Differentiable dynamical systems.
Online resource:	http://www.worldscientific.com/worldscibooks/10.1142/9606#t=toc
ISBN:	9789814678391$q(electronic bk.)

Differentiability and fractality in dynamics of physical systems
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$q(electronic bk.)

LCCN: 2015006096Subjects--Topical Terms:

183764
Differentiable dynamical systems.

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

Dewey Class. No.: 515/.39

Differentiability and fractality in dynamics of physical systems
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100 1 $a Merches, Ioan. $3 560171
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 183764
650 0 $a Fractals. $3 182287
650 0 $a Mathematical physics. $3 190854
700 1 $a Agop, Maricel. $3 853888
856 4 0 $u http://www.worldscientific.com/worldscibooks/10.1142/9606#t=toc