𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Local transversal Lyapunov exponents for analysis of synchronization of chaotic systems

✍ Scribed by Galias, Zbigniew


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
186 KB
Volume
27
Category
Article
ISSN
0098-9886

No coin nor oath required. For personal study only.

✦ Synopsis


In this paper we consider the problem of synchronization of coupled chaotic systems. Synchronization is studied by means of local transversal Lyapunov exponents. We show that they can be successfully used in investigations of synchronization properties. A criterion for synchronization based on this concept is developed and discussed. Using examples of coupled HeH non maps and coupled hyperchaotic electronic systems we compare this technique with other methods for investigation of synchronization properties.


πŸ“œ SIMILAR VOLUMES


Asymptotic Analysis of the Lyapunov Expo
✍ Heidrun Teichert πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 784 KB

## Abstract In the paper there are considered linear Hamiltonian systems in R^2n^ which include a small additive random term depending on a stationary ergodic Markov process. Under some regularity assumptions we derive asymptotic expansions for certain Lyapunov exponents of the systems (or for sums

ANALYSIS OF WAVELETS IN CHAOTIC STATES F
✍ W. GLABISZ πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 487 KB

A qualitative numerical technique is presented for identifying chaotic states of a nonlinear one-sided constrained one-degree of freedom (1-d.o.f.) deterministic system under a dynamic non-conservative load. Discrete wavelet analysis in its classic and packet versions was used to search for the boun

Full analysis of chaotic microwave oscil
✍ J. Guittard; S. Penaud; J. C. Nallatamby; R. QuΓ©rΓ© πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 198 KB

A full analysis of a chaotic microwave oscillator based on envelope transient analysis is presented for the first time. The technique overcomes problems encountered by time domain and harmonic balance methods to simulate such kinds of circuits. A bifurcation diagram of the oscillator is obtained. Th