Generalized synchronization of chaos in directionally coupled chaotic systems

NF Rulkov, MM Sushchik, LS Tsimring, HDI Abarbanel - Physical Review E, 1995 - APS
Synchronization of chaotic systems is frequently taken to mean actual equality of the
variables of the coupled systems as they evolve in time. We explore a generalization of this …

Generalized synchronization of chaos: The auxiliary system approach

HDI Abarbanel, NF Rulkov, MM Sushchik - Physical review E, 1996 - APS
Synchronization of chaotic oscillators in a generalized sense leads to richer behavior than
identical chaotic oscillations in coupled systems. It may imply a more complicated connection …

Digital communication using chaotic-pulse-position modulation

NF Rulkov, MM Sushchik, LS Tsimring… - … on Circuits and …, 2001 - ieeexplore.ieee.org
Utilization of chaotic signals for covert communications remains a very promising practical
application. Multiple studies indicate that the major shortcoming of recently proposed chaos-…

Robustness of synchronized chaotic oscillations

NF Rulkov, MM Sushchik - International Journal of Bifurcation and …, 1997 - World Scientific
In this paper we address the issue of robustness of synchronized chaotic oscillations in
coupled systems. One frequently observes in physical experiments that synchronized chaotic …

[BOOK][B] An overview of digital communications techniques using chaos and nonlinear dynamics

…, K Yao, AR Volkovskii, NF Rulkov, MM Sushchik - 2006 - Springer
This chapter provides a brief overview of some of the digital communications techniques that
have been proposed recently employing nonlinear dynamics, along with a comparison to …

Performance analysis of correlation-based communication schemes utilizing chaos

M Sushchik, LS Tsimring… - IEEE Transactions on …, 2000 - ieeexplore.ieee.org
… [1] M. Hasler, “Synchronization of chaotic systems and transmission of information,” Int. J. …
Mikhail M. Sushchik was born in Russia in 1970. He received the Ph.D. …

Multiplexing chaotic signals using synchronization

LS Tsimring, MM Sushchik - Physics Letters A, 1996 - Elsevier
Chaotic synchronization usually involves two coupled chaotic systems, with either one
driving the other, or both being mutually coupled. In this paper we address a problem of …

Chaotic pulse position modulation: A robust method of communicating with chaos

M Sushchik, N Rulkov, L Larson… - IEEE …, 2000 - ieeexplore.ieee.org
In this letter we investigate a communication strategy for digital ultra-wide bandwidth
impulse radio, where the separation between the adjacent pulses is chaotic arising from a …

Robustness and stability of synchronized chaos: An illustrative model

MM Sushchik, NF Rulkov… - IEEE Transactions on …, 1997 - ieeexplore.ieee.org
Synchronization of two chaotic systems is not guaranteed by having only negative conditional
or transverse Lyapunov exponents. If there are transversally unstable periodic orbits or …

Hidden Chaos

MM Sushchik, NF Rulkov - arXiv preprint nlin/0106008, 2001 - arxiv.org
When a medium composed of microscopic elements is subjected to a high intensity field,
the individual behaviors of microscopic elements can become chaotic. In such cases it is …