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...

Ausführliche Beschreibung

Gespeichert in:
Hauptverfasser:
Merches, Ioan, Agop, Maricel
Format:
Elektronisch E-Book
Sprache:
Englisch
Veröffentlicht:
Hackensack, New Jersey : World Scientific, [2016]
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."--
Umfang:
1 online resource (299 p.)
Anmerkungen:
Description based upon print version of record.
Anmerkungen:
English
Bibliografie:
Includes bibliographical references and index.
ISBN:
981-4678-39-2
Schlagworte:
Differentiable dynamical systems.
Fractals.
Mathematical physics.
Bezugswerke:
Links: