TY  - JOUR
A1  - Tuval, I.
A1  - Schneider, J.
A1  - Piro, O.
A1  - Tel, Tomas
T1  - Opening up fractal structures of three-dimensional flows via leaking
N2  - We study the behavior of time-periodic three-dimensional incompressible flows modelled by three-dimensional volume-preserving maps in the presence of a leakage. The distribution of residence times, and the chaotic saddle together with its stable and unstable invariant manifolds are described and characterized. They shed light. on typical filamentation of chaotic flows whose local stable and unstable manifolds are always of different, character (plane or line). We point out that leaking is a useful method which sheds light on typical filamentation of chaotic flows. In particular; the topology depends on the number of local expanding directions, and is the same in the leaked system as in the closed flow
Y1  - 2004
SN  - 0295-5075
ER  - 
TY  - JOUR
A1  - Karolyi, G.
A1  - Tel, Tomas
A1  - de Moura, A. P. S.
A1  - Grebogi, Celso
T1  - Reactive particles in random flows
N2  - We study the dynamics of chemically or biologically active particles advected by open flows of chaotic time dependence, which can be modeled by a random time dependence of the parameters on a stroboscopic map. We develop a general theory for reactions in such random flows, and derive the reaction equation for this case. We show that there is a singular enhancement of the reaction in random flows, and this enhancement is increased as compared to the nonrandom case. We verify our theory in a model flow generated by four point vortices moving chaotically
Y1  - 2004
SN  - 0031-9007
ER  -