Self-organized multistability in the forest fire model

Rybski, Diego; Butsic, Van; Kantelhardt, Jan W.

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Self-organized multistability in the forest fire model

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Rybski, Diego
Potsdam Institute for Climate Impact Research;

Butsic, Van
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Kantelhardt, Jan W.
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Rybski, D., Butsic, V., Kantelhardt, J. W. (2021): Self-organized multistability in the forest fire model. - Physical Review E, 104, 1, L012201.

Cite as: https://publications.pik-potsdam.de/pubman/item/item_25697

Abstract

The forest fire model in statistical physics represents a paradigm for systems close to but not completely at criticality. For large tree growth probabilities p we identify periodic attractors, where the tree density ρ oscillates between discrete values. For lower p this self-organized multistability persists with incrementing numbers of states. Even at low p the system remains quasiperiodic with a frequency ≈p on the way to chaos. In addition, the power-spectrum shows 1/f2 scaling (Brownian noise) at the low frequencies f, which turns into white noise for very long simulation times.