## Transformation invariance of Lyapunov exponents.(English)Zbl 1024.37024

Lyapunov exponents with respect to a positively bounded trajectory of an autonomous $$n$$-dimensional $$C^1$$-differential equation are proved to be invariant under certain $$C^2$$-differentiable transformations not necessarily globally invertible. The presentation would gain from stating the result in form of a theorem collecting prerequisites and assertion.

### MSC:

 37D25 Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) 34D08 Characteristic and Lyapunov exponents of ordinary differential equations 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior

### Keywords:

bounded trajectory; autonomous differential equation
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### References:

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