Geometric Dynamics
Resource Information
The work Geometric Dynamics represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Geometric Dynamics
Resource Information
The work Geometric Dynamics represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Geometric Dynamics
 Statement of responsibility
 by C. Udriste
 Language

 eng
 eng
 Summary
 Geometric dynamics is a tool for developing a mathematical representation of real world phenomena, based on the notion of a field line described in two ways: as the solution of any Cauchy problem associated to a firstorder autonomous differential system; as the solution of a certain Cauchy problem associated to a secondorder conservative prolongation of the initial system. The basic novelty of our book is the discovery that a field line is a geodesic of a suitable geometrical structure on a given space (LorentzUdri~te worldforce law). In other words, we create a wider class of RiemannJacobi, RiemannJacobiLagrange, or FinslerJacobi manifolds, ensuring that all trajectories of a given vector field are geodesics. This is our contribution to an old open problem studied by H. Poincare, S. Sasaki and others. From the kinematic viewpoint of corpuscular intuition, a field line shows the trajectory followed by a particle at a point of the definition domain of a vector field, if the particle is sensitive to the related type of field. Therefore, field lines appear in a natural way in problems of theoretical mechanics, fluid mechanics, physics, thermodynamics, biology, chemistry, etc
 Dewey number
 003.3
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 dOhCvgqpug
 Image bit depth
 0
 Language note
 English
 LC call number
 TA342343
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Mathematics and Its Applications
 Series volume
 513
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