Nonlinear Dynamics Group
OverviewFWe are interested in bifurcation phenomena associated with
mode interaction.
Our goals are to predict heat and mass transfer
in global systems with convection and chemical reactions,
and to predict patterns in ecological systems.
Staff:
Kaoru Fujimura (Professor),
Yuki Kato (Assistant Professor),
Takeshi Ooshida (Assistant Professor).
Research field:
Analysis and prediction of bifurcation phenomena
in nonlinear systems.
See selected publication list
for details.
Topics
- Multi-parameter bifurcation
-
Mode interaction in an inclined slot:
longitudinal convection roll/transverse convection roll,
longitudinal convection roll/transverse traveling wave,
transverse convection roll/transverse traveling wave,
longitudinal convection roll/transverse convection
roll/transverse traveling wave
(detail)
-
Mode interaction between longitudinal convection rolls and transverse waves
in unstably stratified plane Poiseuille flow
(detail)
-
1:2 Hopf/steady-state mode interaction
(detail)
- Effect of nonlinear degeneracy on the bifurcation
-
Degenerate bifurcation in stably stratified plane Poiseuille flow
(detail)
-
Degenerate 1:2 steady mode interaction
(detail)
- Weakly nonlinear stability theory - reduction of the dimension
-
Equivalence between center manifold reduction and
weakly nonlinear reductions
(detail)
- Pattern formation due to mode interaction on a hexagonal lattice
- Stability of nonlinear capillary gravity waves of permanent form
-
Direct simulation of periodic waves on an inviscid fluid
-
Weakly nonlinear analysis near the fourth harmonic resonance
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DAMP (Dept. Appl. Math. & Phys.)