Generalized synchronization of chaos in directionally coupled chaotic systems
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 …
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 …
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-…
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 …
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 …
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. …
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 …
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
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 …
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 …
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 …
the individual behaviors of microscopic elements can become chaotic. In such cases it is …