✦ LIBER ✦

Bubbling bifurcation: Loss of synchronization and shadowing breakdown in complex systems

✍ Scribed by R.L. Viana; C. Grebogi; S.E. de S.Pinto; S.R. Lopes; A.M. Batista; J. Kurths

Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 605 KB
Volume: 206
Category: Article
ISSN: 0167-2789
DOI: 10.1016/j.physd.2005.05.001

No coin nor oath required. For personal study only.

✦ Synopsis

Complex dynamical systems with many degrees of freedom may exhibit a wealth of collective phenomena related to highdimensional chaos. This paper focuses on a lattice of coupled logistic maps to investigate the relationship between the loss of chaos synchronization and the onset of shadowing breakdown via unstable dimension variability in complex systems. In the neighborhood of the critical transition to strongly non-hyperbolic behavior, the system undergoes on-off intermittency with respect to the synchronization manifold. This has been confirmed by numerical diagnostics of synchronization and non-hyperbolic behavior, the latter using the statistical properties of finite-time Lyapunov exponents.

📜 SIMILAR VOLUMES

Non-bifurcational mechanism of loss of c

Non-bifurcational mechanism of loss of chaos synchronization in coupled non-identical systems

✍ V Astakhov; T Kapitaniak; A Shabunin; V Anishchenko 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 86 KB

We show that in the weakly non-identical coupled systems, the loss of synchronization the destruction of a chaotic . attractor located in the vicinity of the invariant subspace of identical systems can be initiated by the smooth shift of one of these orbits out of the chaotic attractor.