BIFURCATION MECHANISM FOR GENERATION OF RANDOM DEEP-WATER STOKES WAVES

[1]  Bruce J. West,et al.  A new numerical method for surface hydrodynamics , 1987 .

[2]  M. Yamaguti,et al.  Structure of singularities and its numerical realization in nonlinear elasticity , 1980 .

[3]  E. Knobloch,et al.  Symmetry and Symmetry-Breaking Bifurcations in Fluid Dynamics , 1991 .

[4]  Bruce M. Lake,et al.  Nonlinear Dynamics of Deep-Water Gravity Waves , 1982 .

[5]  Warren E. Ferguson,et al.  Relationship between Benjamin–Feir instability and recurrence in the nonlinear Schrödinger equation , 1978 .

[6]  Pascal Chossat,et al.  The Couette-Taylor Problem , 1992 .

[7]  Hiroaki Ono,et al.  Nonlinear Modulation of Gravity Waves , 1972 .

[8]  Dick K. P. Yue,et al.  A high-order spectral method for the study of nonlinear gravity waves , 1987, Journal of Fluid Mechanics.

[9]  David G. Schaeffer,et al.  Qualitative analysis of a model for boundary effects in the Taylor problem , 1980, Mathematical Proceedings of the Cambridge Philosophical Society.

[10]  Vladimir E. Zakharov,et al.  Stability of periodic waves of finite amplitude on the surface of a deep fluid , 1968 .

[11]  M. Golubitsky,et al.  Singularities and groups in bifurcation theory , 1985 .

[12]  Jean-Pierre Serre,et al.  Linear representations of finite groups , 1977, Graduate texts in mathematics.

[13]  W. Ferguson,et al.  Nonlinear deep-water waves: theory and experiment. Part 2. Evolution of a continuous wave train , 1977, Journal of Fluid Mechanics.

[14]  P. Saffman,et al.  Instability and confined chaos in a nonlinear dispersive wave system , 1982 .

[15]  Ikeda Kiyohiro,et al.  Bifurcation hierarchy of symmetric structures , 1991 .

[16]  Kazuo Murota,et al.  Computational Use of Group Theory in Bifurcation Analysis of Symmetric Structures , 1991, SIAM J. Sci. Comput..

[17]  David H. Sattinger,et al.  Group theoretic methods in bifurcation theory , 1979 .

[18]  Branching in the Presence of Symmetry , 1987 .

[19]  G. Iooss Secondary bifurcations of Taylor vortices into wavy inflow or outflow boundaries , 1986, Journal of Fluid Mechanics.

[20]  Roles of sideband instability and mode coupling in forming a water-wave chaos , 1997 .