TY - JOUR
T1 - Chaotic motion of propagating pulses in the Gray-Scott model
AU - Yadome, Masaaki
AU - Ueda, Kei Ichi
AU - Nagayama, Masaharu
PY - 2011/5/9
Y1 - 2011/5/9
N2 - Transition routes of propagating pulses in the Gray-Scott model from oscillatory to chaotic motion are investigated by numerical studies. Global bifurcation of the Gray-Scott model gives us information about the onset mechanism of transient dynamics, such as the splitting and extinction of pulses. However, the instability mechanism of oscillatory pulses has not been clarified, even numerically. Global bifurcation analysis of time periodic oscillatory traveling pulses, called traveling breathers, enables us to find chaotic motions of oscillatory pulse solutions. Two types of transitions to chaos, namely, period-doubling sequences and breakdown of quasiperiodic solutions, are found near the bifurcation points of traveling breathers.
AB - Transition routes of propagating pulses in the Gray-Scott model from oscillatory to chaotic motion are investigated by numerical studies. Global bifurcation of the Gray-Scott model gives us information about the onset mechanism of transient dynamics, such as the splitting and extinction of pulses. However, the instability mechanism of oscillatory pulses has not been clarified, even numerically. Global bifurcation analysis of time periodic oscillatory traveling pulses, called traveling breathers, enables us to find chaotic motions of oscillatory pulse solutions. Two types of transitions to chaos, namely, period-doubling sequences and breakdown of quasiperiodic solutions, are found near the bifurcation points of traveling breathers.
UR - http://www.scopus.com/inward/record.url?scp=79961058883&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.83.056207
DO - 10.1103/PhysRevE.83.056207
M3 - 学術論文
C2 - 21728630
AN - SCOPUS:79961058883
SN - 1539-3755
VL - 83
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 5
M1 - 056207
ER -