Mathematics – Dynamical Systems
Scientific paper
Oct 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..37..171s&link_type=abstract
Celestial Mechanics (ISSN 0008-8714), vol. 37, Oct. 1985, p. 171-181.
Mathematics
Dynamical Systems
Dynamical Systems, Strange Attractors, Theoretical Physics, Dissipation, Liapunov Functions, Mapping
Scientific paper
The behaviors of a fixed point period two and period three attractor, and strange attractor, of the Henon mapping in the extended mapping, T, are studied using the Liapunov Characteristic Numbers (LCN) method and the slice-cutting method. The results indicate that for small principle perturbing parameters, C and D of 0.03, the stable fixed point and the period two attractor of the Henon mapping generate the limit cycle attractor and the symmetrically separating bifurcation of the limit cycle attractor, consistent with the case in the conservative system. It is found that the strange attractor in the dissipative system is destroyed by perturbed extension more easily than the invariant manifold in the conservative system and the trivial attractors, with the exception of the Henon mapping period three attractor. Results also suggest that the limit cycle attractor and its symmetrically separating bifurcation have the same spectrum of LCN's.
No associations
LandOfFree
Attractors in a dissipative dynamical system with three dimensions 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 Attractors in a dissipative dynamical system with three dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Attractors in a dissipative dynamical system with three dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1545926