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| | =Koopman算子应用的简单案例= | | =Koopman算子应用的简单案例= |
| − | 这里,我们引用Tu等人
| + | 这里,我们引用Brunton等人<ref name=Brunton_2016>S. L. Brunton, B. W. Brunton, J. L. Proctor, and J. N. Kutz, Koopman invariant subspaces and finite linear representations of nonlinear dynamical systems for control, PLoS ONE, 11 (2016), art. e0150171. (Cited on pp. 234, 247, 248, 254, 284, 285, 286, 288, 295, 308, 309, 312, 318)</ref>详细研究过的一个具有单个不动点的示例系统,其方程为: |
| − | <ref name=Tu_2014>J. H. Tu, C. W. Rowley, D. M. Luchtenburg, S. L. Brunton, and J. N. Kutz, On dynamic mode decomposition: Theory and applications, J. Comput. Dynam., 1 (2014), pp. 391--421. (Cited on pp. 247, 249, 250, 251, 256, 257, 261, 263, 284, 289, 292)</ref>
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| − | [435]和Brunton等人<ref name=Brunton_2016>S. L. Brunton, B. W. Brunton, J. L. Proctor, and J. N. Kutz, Koopman invariant subspaces and finite linear representations of nonlinear dynamical systems for control, PLoS ONE, 11 (2016), art. e0150171. (Cited on pp. 234, 247, 248, 254, 284, 285, 286, 288, 295, 308, 309, 312, 318)</ref>[62]详细研究过的一个具有单个不动点的示例系统,其方程为:
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| | <math> \dot{x}_1 = μx_1 </math> | | <math> \dot{x}_1 = μx_1 </math> |