科研之友
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摘要
A dynamical system is generally understood first via linear stability analysis, which reduces to the diagonalization of a matrix, and then by studying the effects of the nonlinear terms. Surprisingly, in many cases of interest, the nonlinear analysis can also be reduced to the diagonalization of a matrix (similar to the linear stability matrix) whose eigenvalues yield nonlinear amplitudes. This provides a complementary alternative to the usual unfolding of codimension- two points or to the classification of dynamical systems by symmetry. Examples of such systems can be found in binary fluid convection and cylindrical or rotating convection.
- 出版日期2012-6
