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Award ID contains: 1922516

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  1. ; ; ; ; ; ; ( , Ecological Applications)
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  2. ; ( , Mathematics)
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    This work serves as a bridge between two approaches to analysis of dynamical systems: the local, geometric analysis, and the global operator theoretic Koopman analysis. We explicitly construct vector fields where the instantaneous Lyapunov exponent field is a Koopman eigenfunction. Restricting ourselves to polynomial vector fields to make this construction easier, we find that such vector fields do exist, and we explore whether such vector fields have a special structure, thus making a link between the geometric theory and the transfer operator theory. 
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  3. ; ( , Journal of Physics A: Mathematical and Theoretical)
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  4. ; ; ; ( , Nature Physics)
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