• Mathematics
  • Published 2019

Invariant Manifolds for Non-differentiable Operators.

@inproceedings{Martens2019InvariantMF,
  title={Invariant Manifolds for Non-differentiable Operators.},
  author={Marco Martens and Liviana Palmisano},
  year={2019}
}
A general invariant manifold theorem is needed to study the topological classes of smooth dynamical systems. These classes are often invariant under renormalization. The classical invariant manifold theorem cannot be applied, because the renormalization operator for smooth systems is not differentiable and sometimes does not have an attractor. Examples are the renormalization operator for general smooth dynamics, such as unimodal dynamics, circle dynamics, Cherry dynamics, Lorenz dynamics, H… CONTINUE READING

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