Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 30, Issue 9, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127420501369
Keywords
Plankton system; temporal forcing; pattern transitions; amplitude equations
Funding
- National Natural Science Foundation of China-Shandong Joint Fund [U1806203]
- National Natural Science Foundation of China [61533011, 61703251]
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We explore the impact of time-periodic forcing on pattern transitions in a plankton system of reaction-diffusion type. Here, we mainly focus on the forced states near the Turing-Hopf bifurcation. A normal form analysis leads to the finding that weak forcing exhibits a destabilizing effect on the dynamics by exciting the transitions from a spatially homogeneous stationary state to a periodic oscillation in time. The results are obtained by studying the amplitude equations derived using weakly nonlinear analysis in the presence of forcing, which enables us to calculate the changes of states. Examples are given to confirm the theoretical results.
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