Partial synchronization : from symmetry towards stability

@inproceedings{Pogromsky2002PartialS,
  title={Partial synchronization : from symmetry towards stability},
  author={Alexander Yu Pogromsky and Giovanni Santoboni and Henk H. Nijmeijer},
  year={2002}
}
In this paper we study the existence and stability of linear invariant manifolds in a network of coupled identical dynamical systems. Symmetry under permutation of different units of the network is helpful to construct explicit formulae for linear invariant manifolds of the network, in order to classify them, and to examine their stability through Lyapunov’s direct method. © 2002 Elsevier Science B.V. All rights reserved. PACS:05.45.X; 05.45.P 
Highly Cited
This paper has 204 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 85 extracted citations

204 Citations

01020'02'05'09'13'17
Citations per Year
Semantic Scholar estimates that this publication has 204 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 63 references

On dissipativity of some system of nonlinear differential equations: I

  • B. P. Demidovich
  • Vestnik Moscow State University 6
  • 1961
Highly Influential
6 Excerpts

From attractor to chaotic saddle: a tale of transverse instability

  • P. Ashwin, J. Buescu, I. Stewart
  • Nonlinearity 9
  • 1996
Highly Influential
4 Excerpts

Lyapunov dimension formulas for Henon and Lorenz attractors

  • G. A. Leonov
  • St. Petersburg Math. J. 13
  • 2002
1 Excerpt

Bounds for trajectories of the Lorenz equations: an illustration of how to choose Liapunov functions

  • P. Swinnerton-Dyer
  • Phys. Lett. A 281
  • 2001
1 Excerpt

Loss of synchronization in coupled Rössler systems

  • S. Yanchuk, Y. Maistrenko, E. Mosekilde
  • Physica D 154
  • 2001
1 Excerpt

Similar Papers

Loading similar papers…