A Perturbed Extension of Hyperbolic Twist Mappings

Details A Perturbed Extension of Hyperbolic Twist Mappings A Perturbed Extension of Hyperbolic Twist Mappings

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cemec..42..369s&link_type=abstract

Celestial Mechanics, Volume 42, Issue 1-4, pp. 369-383

Physics

1

Scientific paper

In this paper we discuss a perturbed extension of hyperbolic twist mappings to a 3-dimensional measure-preserving mapping begin{array}{*{20}c} {T:left\{ {begin{array}{*{20}c} {x_{n + 1} = s(x_n \cos \varphi _n - y_n sin \varphi _n ) + A\cos z_n ,} \ {y_{n + 1} = s^{ - 1} (x_n sin \varphi _n + y_n \cos \varphi _n ) + Bsin z_n ,} \ {z_{n + 1} = z_n + C\cos (x_{n + 1} + y_{n + 1} ) + D,(bmod 2π )} \ } right.} \ {\varphi _n = (x_n^2 + y_n^2 )^k } \ wheres, k are parameters andA, B, C, D are perturbation parameters. We find that the ordered regions near the fixed point of the hyperbolic twist mapping is destroyed by the perturbed extension more easily than the ones distant from it. The size of the ordered region decreases with increasing perturbation parameters and is insensitive to the parameterD for the same parametersA, B, C.

Affiliated with

Also associated with

No associations

Rating

A Perturbed Extension of Hyperbolic Twist Mappings 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 A Perturbed Extension of Hyperbolic Twist Mappings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Perturbed Extension of Hyperbolic Twist Mappings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1454842