Complex dynamics and synchronization in two non-identical chaotic ecological systems

Chaos, Solitons and Fractals

Volumn 40, Issue 5, 2009, Pages 2233-2241

  Upadhyay, Ranjit Kumar ^a   Rai, Vikas ^b  

^a INDIAN SCHOOL OF MINES   (India)

^b HMR Institute of Technology and Management   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC SYSTEMS; ECOLOGY; LINEAR CONTROL SYSTEMS; PARAMETER ESTIMATION;

COMPLETE SYNCHRONIZATION; COMPLEX DYNAMICS; ECOLOGICAL SYSTEMS; HYPERCHAOTIC; INTRINSIC MECHANISMS; NATURAL PHENOMENA; NON-IDENTICAL; TOP PREDATOR;

SYNCHRONIZATION;

EID: 65549159743     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.10.016     Document Type: Article

References (18)

1. Boccaletti S., Kurth J., Osipov G., Valladares D.L., and Zhou C.S. The synchronization of chaotic systems. Phys Rep 366 (2002) 1-101
2. Pecora L.M., and Carroll T.L. Synchronization in chaotic systems. Phys Rev Lett 64 (1990) 821-824
3. Blasius B., and Stone L. Chaos and phase synchronization in ecological systems. Int J Bifurcat Chaos 10 10 (2000) 2361-2380
4. Upadhyay R.K., and Rai V. Why chaos is rarely observed in natural populations?. Chaos, Solitons & Fractals 8 (1997) 1933-1939
5. Upadhyay R.K., Iyengar S.R.K., and Rai V. Chaos: an ecological reality?. Int J Bifurcat Chaos 8 6 (1998) 1325-1333
6. Letellier C., and Aziz-Alaoui M.A. Analysis of the dynamics of a realistic ecological model. Chaos Solitons & Fractals 13 (2002) 95-107
7. Hastings A., and Powell T. Chaos in a three-species food chain. Ecology 72 (1991) 896-903
8. Rai V., and Upadhyay R.K. Evolving to the edge of chaos: chance or necessity?. Chaos, Solitons & Fractals 30 (2006) 1074-1087
9. Holling C.S. The functional response of predator-to-prey density and its role in mimicry and population regulation. Mem Ent Soc Can 46 (1965) 1-60
10. May R.M. Stability and complexity in model ecosystems (2001), Princeton University Press, Princeton, NJ, USA
11. Lu J., and Cao J. Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) dynamical systems with fully unknown parameters. Chaos 15 043901 (2005) 1-10
12. Grenfell B.T. Noise and determinism in synchronized sheep dynamics. Nature 394 (1999) 674-677
13. Ims R.A., and Andreassen H.P. Spatial synchronization of vole population dynamics by predatory birds. Nature 408 (2000) 194-196
14. Williams D., Liebhold W., and Andrew M. Spatial synchrony of spruce budworm outbreaks in eastern North America. Ecology 81 10 (2000) 2753-2766
15. Liebhold A., and Kamata N. Are population cycles and spatial synchrony a universal characteristics of forest insect populations?. Popular Ecol 42 (2000) 205-209
16. Lei Y., Xu W., and Xie W. Synchronization of two chaotic four-dimensional systems using active control. Chaos, Solitons & Fractals 32 (2007) 1823-1829
17. Chen H.K. Global chaos synchronization of new chaotic systems via non-linear control. Chaos, Solitons & Fractals 23 (2005) 1245-1251
18. Lonngren K.E., Bai E.-W., and Ucar A. Dynamics and synchronization of the Hastings-Powell model of the food chain. Chaos, Solitons & Fractals 20 (2004) 387-393