Nonidentical synchronization of identical systems

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 9, Issue 12, 1999, Pages 2305-2309

  Parlitz, U ^a   Junge, L ^a   Kocarev, L ^b  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

^b SS CYRIL AND METHODIUS UNIVERSITY   (Macedonia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033478709     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127499001796     Document Type: Article

References (18)

1. Abarbanel, H. D. I., Rulkov, N. F. & Sushchik, M. M. [1996] "Generalized synchronization of chaos: The auxiliary system approach," Phys. Rev. E53, p. 4528.
2. Afraimovich, V. S., Verichev, N. N. & Rabinovich, M. I. [1986] "Stochastic synchronization of oscillation in dissipative systems," Radiophys. Quantum Electron. 29, 795-803.
3. Davies, M. E. & Campbell, K. M. [1996] "Linear recursive filters and nonlinear dynamics," Nonlinearity 9, p. 487.
4. Fujisaka, H. & Yamada, T. [1983] "Stability theory of synchronized motion in coupled-oscillator systems, Progr. Theor. Phys. 69, 32-47.
5. Güémez, J. & Matías, M. A. [1996] "Synchronization in small assemblies of chaotic systems," Phys. Rev. E53, p. 3059.
6. Hunt, B. R., Ott, E. & Yorke, J. A. [1997] "Differentiable generalized synchronization," Phys. Rev. E55(4), p. 4029.
7. Kocarev, L. & Parlitz, U. [1995] "General approach for chaotic synchronization with applications to communication," Phys. Rev. Lett. 74, p. 5028.
8. Kocarev, L. & Parlitz, U. [1996], "Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems," Phys. Rev. Lett. 76, p. 1816.
9. Parlitz, U., Junge, L., Lauterborn, W. & Kocarev, L. [1996] "Experimental observation of phase synchronization," Phys. Rev. E54, 2115-2117.
10. Parlitz, U., Kocarev, L., Stojanovski, T. & Junge, L. [1997a] "Chaos synchronization using sporadic driving," Physica D9(1), 139-152.
11. Parlitz, U., Junge, L. & Kocarev, L. [1997b] "Subharmonic entrainment of unstable periodic orbits and generalized synchronization," Phys. Rev. Lett. 79(17), p. 3158.
12. Pecora, L. & Carroll, T. [1990] "Synchronization in chaotic systems," Phys. Rev. Lett. 64, p. 821.
13. Pecora, L. M., Carroll, T. L. & Heagy, J. F. [1995] "Statistics for mathematical properties of maps between time-series embeddings," Phys. Rev. E52, p. 3420.
14. Pyragas, K. [1996] "Weak and strong synchronization of chaos," Phys. Rev. E54, 4508-4511.
15. Rosenblum, M. G., Pikovsky, A. S. and Kurths, J. [1986] "Phase synchronization of chaotic oscillators," Phys. Rev. Lett. 76(11), 1804-1807.
16. Rulkov, N., Sushchik, M., Tsimring, L. & Abarbanel, H. [1995] "Generalized synchronization of chaos in directionally coupled chaotic systems," Phys. Rev. E51(2), p. 980.
17. Sauer, T., Yorke, J. A. & Casdagli, M. [1991] "Embedology," J. Stat. Phys. 65, p. 579.
18. Stark, J. [1997] "Invariant graphs for forced systems," Physica D109, 163-179.