Nonstandard Representations of Processes in Dynamical Systems

Details Nonstandard Representations of Processes in Dynamical Systems Nonstandard Representations of Processes in Dynamical Systems

Sep 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aipc..934..151m&link_type=abstract

FLOWS, BOUNDARIES, INTERACTIONS: Flows, Boundaries, and Interaction Workshop. AIP Conference Proceedings, Volume 934, pp. 151-1

Mathematics

Number Theory

1

Numerical Approximation And Analysis, Bifurcation Theory, Algebraic Structures And Number Theory

Scientific paper

The aim of this paper is to present an alternative description, based on the non-standard analysis, of certain processes in dynamical systems. Some examples of applications will be given, including differential equations and geometry. In particular, bifurcations in perturbed systems are studied which may be applied to the study of a body having a complex magnetic field excited by strong microwave fields. A possible application might include modeling of certain facts of magnetic fields of Sun-like stars. The Karamata notion of a slowly varying function is used for analyzing such processes in infinitesimal neighborhoods (monads). These results, we believe, might give at least new insights into classical problems of dynamical systems.

Affiliated with

Also associated with

No associations

Rating

Nonstandard Representations of Processes in Dynamical Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonstandard Representations of Processes in Dynamical Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonstandard Representations of Processes in Dynamical Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1009020