×

Synchronization of systems with multiplicative noise. (English) Zbl 1149.60036

The authors discuss the problem of synchronization of Stratonovich-type stochastic differential equations, using ideas from the theory of random dynamical systems.

MSC:

60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
34F05 Ordinary differential equations and systems with randomness
37H10 Generation, random and stochastic difference and differential equations
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] DOI: 10.1007/978-3-662-12878-7 · doi:10.1007/978-3-662-12878-7
[2] DOI: 10.1137/050647281 · Zbl 1125.37058 · doi:10.1137/050647281
[3] DOI: 10.1098/rspa.2005.1484 · Zbl 1206.60054 · doi:10.1098/rspa.2005.1484
[4] Caraballo T., Disc. Cont. Dyn. Syst. Ser. B 6 pp 1199–
[5] DOI: 10.1007/s00245-004-0802-1 · Zbl 1066.60058 · doi:10.1007/s00245-004-0802-1
[6] DOI: 10.1006/jmaa.1997.5774 · Zbl 0907.34039 · doi:10.1006/jmaa.1997.5774
[7] DOI: 10.1023/A:1016673307045 · Zbl 1004.37034 · doi:10.1023/A:1016673307045
[8] Kloeden P. E., Elect. J. Diff. Eqns. 39 pp 1–
[9] DOI: 10.1080/14689360500446262 · Zbl 1136.37313 · doi:10.1080/14689360500446262
[10] DOI: 10.1007/0-387-22655-9_11 · doi:10.1007/0-387-22655-9_11
[11] Lakshmikantham V., Differential and Integral Inequalities (1969) · Zbl 0177.12403
[12] DOI: 10.1017/CBO9780511755743 · doi:10.1017/CBO9780511755743
[13] DOI: 10.1080/00036819608840483 · Zbl 0890.34052 · doi:10.1080/00036819608840483
[14] Strogatz S., Sync: The Emerging Science of Spontaneous Order (2003)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.