M. Dhamala et Yc. Lai, Controlling transient chaos in deterministic flows with applications to electrical power systems and ecology, PHYS REV E, 59(2), 1999, pp. 1646-1655
Transient chaos is a common phenomenon in nonlinear dynamics of many physic
al, biological, and engineering systems. In applications it is often desira
ble to maintain sustained chaos even in parameter regimes of transient chao
s. We address how to sustain transient chaos in deterministic flows. We uti
lize a simple and practical method, based on extracting the fundamental dyn
amics from time series, to maintain chaos. The method can result in control
of trajectories from almost all initial conditions in the original basin o
f the chaotic attractor from which transient chaos is created. We apply our
method to three problems: (1) voltage collapse in electrical power systems
, (2) species preservation in ecology, and (3) elimination of undesirable b
ursting behavior in a chemical reaction system. [S1063-651X(99)04902-8].