  The use of nonlinear lattices with large betatron tune spreads can increase
instability and space charge thresholds due to improved Landau damping.
Unfortunately, the majority of nonlinear accelerator lattices turn out to be
nonintegrable, producing chaotic motion and a complex network of stable and
unstable resonances. Recent advances in finding the integrable nonlinear
accelerator lattices have led to a proposal to construct at Fermilab a test
accelerator with strong nonlinear focusing which avoids resonances and chaotic
particle motion. This presentation will outline the main challenges,
theoretical design solutions and construction status of the Integrable Optics
Test Accelerator underway at Fermilab.
