𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On (ɛ,k)-normal words in connecting dynamical systems

✍ Scribed by Anne Bertrand-Mathis; Bodo Volkmann

Book ID
105227591
Publisher
Springer Vienna
Year
1989
Tongue
English
Weight
479 KB
Volume
107
Category
Article
ISSN
0026-9255

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On manifolds of connecting orbits in dis
On manifolds of connecting orbits in discretizations of dynamical systems
✍ Y.-K. Zou; W.-J. Beyn 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 267 KB

It is shown that one-step methods, when applied to a one-parametric dynamical system with a homoclinic orbit, exhibit a closed loop of discrete homoclinic orbits. On this loop, the parameter varies periodically while the orbit shifts its index after one revolution. We show that at least two homoclin

Adjacency and Parity Relations of Words
Adjacency and Parity Relations of Words in Discrete Dynamical Systems
✍ William Y.C. Chen; James D. Louck; Jun Wang 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 222 KB

Words on two letters, or their equivalent representation by : sequences, label the branches of the inverse graph of the n th iterate of the parabolic map p `(x) = `x(2&x) of the real line. The abstract properties of words control the evolution of this graph in the content parameter `. In particular,

On Dynamical Stability in General Dynami
On Dynamical Stability in General Dynamical Systems
✍ Desheng Li 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 160 KB

This paper is concerned with dynamical stability of general dynamical systems. We discuss invariance properties of some limit sets, investigate connections between various notions and definitions related to stability and attraction properties, and establish existence results for invariant uniform at

k-integrals and k-Lie symmetries in disc
k-integrals and k-Lie symmetries in discrete dynamical systems
✍ F.A. Haggar; G.B. Byrnes; G.R.W. Quispel; H.W. Capel 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 572 KB

We generalize the concept of symplectic maps to that of k-symplectic maps: maps whose kth iterates are symplectic. Similarly, k-symmetries and k-integrals are symmetries (resp. integrals) of the kth iterate of the map. It is shown that k-symmetries and k-integrals are related by the k-symplectic str