A computable vertical-displacement threshold implies unbounded diffusion and rotational horseshoes in annular maps, with computer-assisted proofs for standard and related families.
Handbook of dynamical systems
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Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs
A computable vertical-displacement threshold implies unbounded diffusion and rotational horseshoes in annular maps, with computer-assisted proofs for standard and related families.