Circle maps with flat spots and unequal critical exponents at the boundaries have their parameter space partitioned into two regions by a phase transition boundary determined solely by the exponents.
Differential Equations, 89, 1991, 2, 305-316
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A Phase Transition for Circle Maps with a Flat Spot and Different Critical Exponents
Circle maps with flat spots and unequal critical exponents at the boundaries have their parameter space partitioned into two regions by a phase transition boundary determined solely by the exponents.