Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Lyapunov exponents for discontinuous differential equations


Authors: B. S. Berger and M. Rokni
Journal: Quart. Appl. Math. 48 (1990), 549-553
MSC: Primary 34D08
DOI: https://doi.org/10.1090/qam/1074970
MathSciNet review: MR1074970
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Abstract: The vector field associated with a dynamical system is assumed to be piecewise continuously differentiable. The gradient of the vector field, entering into integral expressions for the Lyapunov exponents, may therefore contain derivatives of step functions. Results from the theory of distributions are used in the integrals' evaluation.


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DOI: https://doi.org/10.1090/qam/1074970
Article copyright: © Copyright 1990 American Mathematical Society


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