On Some Properties of Cylindrically Transformed Systems With R(?) Symmetry and Phase Dynamics

Authors

  • Anirban Ray High Energy Physics Division, Department of Physics, Jadavpur University, Kolkatta-700032, India
  • A. Roy Chowdhury High Energy Physics Division, Department of Physics, Jadavpur University, Kolkatta-700032, India

DOI:

https://doi.org/10.15379/2408-977X.2014.01.02.1

Keywords:

Cylindrical transformation, Phase dynamics, Cover, R(p) symmetry.

Abstract

Nonlinear dynamical systems with R(p) symmetry are shown to behave in a very interesting manner under a new transformation of dynamical variables. Such property helps to identify the phase dynamics embedded in the system but preserves the basic property of the attractor intact. This is very similar to those phenomenon discussed with the help of covering transformation in the literature. The Poincare sections obtained are identical to those obtained through covering transformation and hence indicate to a similar topological structure and identical dynamical characteristics.

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Published

2014-12-31

Issue

Vol. 1 No. 2 (2014)

Section

Articles

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