CORDIS Project
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This project explores higher-dimensional dynamical systems by applying techniques from one-dimensional dynamics. It aims to address significant questions regarding the behavior of these systems, including stability and the relationship between recurrent and periodic orbits, enhancing the understanding of complex system…
Proposal Summary:
While there have been tremendous advances in one-dimensional dynamics, higher-dimensional systems are far less well understood.
This novel programme of work will take paradigms from one-dimensional dynamics to apply to the higher-dimensional case.
In so doing, it will answer a number of long-standing questions of major significance and open up the field for sustained future investigation.
The current emphasis on conformal (complex-analytic) techniques will be supplemented in th…
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