๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Periodicity in trajectories of chaotic systems in phase space

โœ Scribed by Hiroshi Shibata; Ryuji Ishizaki

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
630 KB
Volume
197
Category
Article
ISSN
0378-4371

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

THE PERIODICITY OF CHAOTIC IMPACT OSCILL
THE PERIODICITY OF CHAOTIC IMPACT OSCILLATORS IN HAUSDORFF PHASE SPACES
โœ L.Y. LU; Z.H. LU ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 215 KB

It is well known that non-periodic behavior is one of the most puzzling characteristics of chaotic oscillators. So far chaotic dynamical systems have been investigated in Euclidean spaces. In this paper, the concept of non-autonomous dynamical systems and that of Hausdor! phase spaces are proposed.

Creating periodic orbits in chaotic syst
Creating periodic orbits in chaotic systems
โœ Kathryn Glass; Michael Renton; Kevin Judd; Alistair Mees ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 714 KB
Phase space analysis of chaotic spectra
Phase space analysis of chaotic spectra in a conservative Hamiltonian system
โœ Bruno Eckhardt; Jose M. Gomez Llorente; Oli Pollak ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 606 KB

Autocorrelation functions for a chaotic coupled quartic oscillator system are found to have typical recurrence times. Phase space decomposition of the associated spectrum at the peak frequency shows that the peak comes from well defined local&d regions bounded by the stable and unstable manifolds of

Existence and stability of periodic traj
Existence and stability of periodic trajectories in switched server systems
โœ Andrey V. Savkin; Alexey S. Matveev ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 115 KB

The paper analyzes an example of the discrete control of a continuous variable system. We prove that the switched server system with one server and an arbitrary number of bu!ers has a set of periodic trajectories that attract all other trajectories of the system.