TY - JOUR
T1 - Chaos and phase synchronization in ecological systems
AU - Blasius, Bernd
AU - Stone, Lewi
N1 - Funding Information:
We thank Jürgen Kurths for his strong encouragement, and Amit Huppert for many helpful discussions. B. Blasius was supported by a Minerva Fellowship. We are grateful for support from the Adams Super Center for Brain Studies at Tel Aviv University and an internal Tel Aviv University grant.
PY - 2000/10
Y1 - 2000/10
N2 - An ecological population model is presented for the purposes of exploring complex synchronization phenomena in biological systems. The model describes a three level predator-preyresource system which oscillates with Uniform Phase evolution, yet has Chaotic Abundance levels or Amplitudes (UPCA). We investigate the phase synchronization of two nonidentical diffusively coupled phase coherent models (i.e. with UPCA dynamics) and extend the analysis to study the models' "funnel" regimes and response to noise forcing. Similar synchronization effects are reported for a two-dimensional lattice of chaotic population models coupled via nearest neighbors. With weak coupling, a collective phase synchronization emerges yet the peak population abundance levels are chaotic and largely uncorrelated. The synchronization patterns and traveling wave structures found in the spatial model correspond to those observed in natural systems - in particular, Ecology's well-known Canadian hare-lynx cycle. We show that phase synchronization has important applications in the study of ecological communities where the spatial coupling of populations can lead to large scale complex synchronization effects.
AB - An ecological population model is presented for the purposes of exploring complex synchronization phenomena in biological systems. The model describes a three level predator-preyresource system which oscillates with Uniform Phase evolution, yet has Chaotic Abundance levels or Amplitudes (UPCA). We investigate the phase synchronization of two nonidentical diffusively coupled phase coherent models (i.e. with UPCA dynamics) and extend the analysis to study the models' "funnel" regimes and response to noise forcing. Similar synchronization effects are reported for a two-dimensional lattice of chaotic population models coupled via nearest neighbors. With weak coupling, a collective phase synchronization emerges yet the peak population abundance levels are chaotic and largely uncorrelated. The synchronization patterns and traveling wave structures found in the spatial model correspond to those observed in natural systems - in particular, Ecology's well-known Canadian hare-lynx cycle. We show that phase synchronization has important applications in the study of ecological communities where the spatial coupling of populations can lead to large scale complex synchronization effects.
UR - https://www.scopus.com/pages/publications/0034560406
U2 - 10.1142/S0218127400001511
DO - 10.1142/S0218127400001511
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:0034560406
SN - 0218-1274
VL - 10
SP - 2361
EP - 2380
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
IS - 10
ER -