Abstract
A hierarchy of self-dual SU(2) gauge fields is studied in which time dependence enters through a number of terms each periodic in time. When the different periods are commensurable the solution is periodic. When they are incommensurable the solution is called a quasiperiodic instanton. Both these types contain self-dual monopoles and also certain classes of instantons as different limits. Topological aspects and possible physical significances of such solutions are discussed.
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