Synchronisation of chaotic metapopulations in a cascade of coupled logistic map models

Ecological Modelling

Volumn 106, Issue 1, 1998, Pages 17-25

  Parthasarathy, S ^a   Guemez J ^b  

^a CSIR Centre for Mathematical Modelling and Computer Simulation   (India)

^b UNIVERSITY OF CANTABRIA   (Spain)

Author keywords

Chaos; Metapopulation; Migration; Synchronisation

Indexed keywords

CHAOS; LOGISTIC MAP MODEL; METAPOPULATION; MIGRATION; POPULATION MODEL;

EID: 0345019901     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3800(97)00175-0     Document Type: Article

References (20)

1. Allen J.C., Schaffer W.M., Rosko D. Chaos reduces species extinction by amplifying local population noise. Nature. 364:1993;229-232.
2. Chua L.O., Itoh M., Kocarev Lj, Eckert K. Chaos synchronization in Chua's circuit. J. Circuit Syst. Comput. 3:1993;93-108.
3. Cuomo K.M., Oppenheim A.V. Circuit implementation of synchronized chaos with applications to communications. Phys. Rev. Lett. 71:1993;65-68.
4. Güémez J., Matías M.A. Modified method for synchronizing and cascading chaotic systems. Phys. Rev. E. 52:1995;R2145-R2148.
5. Güémez J., Matías M.A. Synchronization in small assemblies of chaotic systems. Phys. Rev. E. 53:1996;3059-3067.
6. Güémez J., Matías M.A. Synchronous oscillatory activity in assemblies of chaotic model neurons. Physica D. 96:1996;334-343.
7. Hassell M.P., Comins H.N., May R.M. Spatial structure and chaos in insect population dynamics. Nature. 353:1991;255-258.
8. Hastings A. Complex interaction between dispersal and dynamics: lessons from coupled logistic equations. Ecology. 74:1993;1362-1372.
9. Kaneko K. Spatiotemporal chaos in one-dimensional and two-dimensional coupled map lattices. Physica D. 37:1989;60-82.
10. Kaneko K. Information cascade with marginal stability in a network of chaotic elements. Physica D. 77:1994;456-472.
11. Lloyd A.L. The coupled logistic map: a simple model for the effects of spatial heterogeneity on population dynamics. J. Theor. Biol. 173:1995;217-230.
12. May R.M. Simple mathematical models with very complicated dynamics. Nature. 261:1976;459-467.
13. Murali K., Lakshmanan M. Transmission of signals by synchronization in a chaotic Van der Pol-Duffing oscillator. Phys Rev E. 48:1993;R1624-R1626.
14. Murali K., Lakshmanan M., Chua L.O. Controlling and svnchronization of chaos in the simplest dissipative non-autonomous circuit. Int. J. Bifurc. Chaos. 5:1995;563-571.
15. Parlitz U., Ergezinger S. Robust communication based on chaotic spreading sequences. Phys. Lett. A. 188:1994;146-150.
16. Parthasarathy S., Sinha S. Controlling chaos in unidimensional maps using constant feedback. Phys. Rev. E. 51:1995;6239-6242.
17. Pecora L.M., Carroll T.L. Synchronization in chaotic systems. Phys. Rev. Lett. 64:1990;821-824.
18. Ruxton G.D. Low levels of immigration between chaotic populations can reduce system extinctions by inducing synchronous regular cycles. Proc. R. Soc. London B. 256:1994;189-193.
19. Ruxton G.D. Chaotic dynamics may determine the effect of inter-patch migration on metapopulation survival. J. Biosci. 21:1996;93-100.
20. Sinha S., Parthasarathy S. Unusual dynamics of extinction in a simple ecological model. Proc. Natl. Acad. Sci. USA. 93:1996;1504-1508.