Local transversal Lyapunov exponents for analysis of synchronization of chaotic systems

International Journal of Circuit Theory and Applications

Volumn 27, Issue 6, 1999, Pages 589-604

  Galias, Zbigniew ^a  

^a AGH UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Poland)

Author keywords

Chaotic system; Synchronization; Transversal Lyapunov exponents

Indexed keywords

CHAOS THEORY; EIGENVALUES AND EIGENFUNCTIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; SPURIOUS SIGNAL NOISE; SYNCHRONIZATION;

CHAOTIC SYSTEMS; HENON MAPS; HYPERCHAOTIC ELECTRONIC SYSTEMS; TRANSVERSAL LYAPUNOV EXPONENTS;

CIRCUIT THEORY;

EID: 0033220671     PISSN: 00989886     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-007X(199911/12)27:6<589::AID-CTA85>3.0.CO;2-B     Document Type: Article

References (15)

1. Stability theory of synchronized motion in coupled-oscillator systems
2. Stochastic synchronization of oscillations in dissipative systems
3. Driving systems with chaotic signals
4. Desynchronization by periodic orbits
5. Riddled basins and other practical problems in coupled synchronized chaotic circuits
6. Transversal Lyapunov exponents and synchronization of chaotic systems
7. New method for stabilization of unstable periodic orbits in chaotic systems
8. Ergodic theory of chaos and strange attractors
9. Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors
10. Inclusion methods for systems of nonlinear equations-the interval Newton method and modifications
11. Existence and uniqueness of low-period cycles and estimation of topological entropy for the Hénon map
12. Hyperchaos: Laboratory experiment and numerical confirmation
13. Study of synchronization of linearly coupled hyperchaotic systems
14. Characterisation of an experimental strange attractor by periodic orbits