The paper extends q-contact Hamiltonian geometry to non-uniform structures with multiple dissipation channels and proves Noether-type theorems, illustrated by an elastoplastic damage model.
Almeida, Contact Anosov actions with smooth invariant bundles
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A geometric approach to the (generalized) Noether theorem for Hamiltonian systems on (non)-uniform q-contact manifolds
The paper extends q-contact Hamiltonian geometry to non-uniform structures with multiple dissipation channels and proves Noether-type theorems, illustrated by an elastoplastic damage model.