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Partial Differentiability of Invariant Splittings |
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| Authors: | Charles Pugh Michael Shub Amie Wilkinson |
| Affiliation: | 1. Mathematics Department, University of California, Berkeley, California, 94720 2. Department of Mathematics, University of Toronto, 100 St. George Street, Toronto, Ontario, M5S 3G3, Canada 3. IBM, TJ Watson Research Center, Yorktown Heights, New York, 10598-0218 4. Mathematics Department, Northwestern University, Evanston, Illinois, 60208 |
| Abstract: | A key feature of a general nonlinear partially hyperbolic dynamical system is the absence of differentiability of its invariant splitting. In this paper, we show that often partial derivatives of the splitting exist and the splitting depends smoothly on the dynamical system itself. |
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