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Differentiability and fractality in ...
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Merches, Ioan.
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Differentiability and fractality in dynamics of physical systems
紀錄類型:
書目-電子資源 : Monograph/item
正題名/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. -
電子資源:
http://www.worldscientific.com/worldscibooks/10.1142/9606#t=toc
ISBN:
9789814678391
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
LCCN: 2015006096Subjects--Topical Terms:
524351
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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"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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http://www.worldscientific.com/worldscibooks/10.1142/9606#t=toc
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