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The irreversible magnetization of single-crystalline samples of the high-temperature superconducting compounds LaSr 2 CuO 4 and Bi 2 Sr 2 CaCu 2 O has been studied under rapidly varying magnetic fields. Three types of behavior can be identified for increasing rates of the field variation: first, a stable regime close to the critical state; magnetic instabilities or jumps for intermediate ramp rates; and a second stable regime with a strongly suppressed magnetization for high sweep rates. The conditions for breaking the critical state and the dynamics of the flux penetration at the instability are discussed

Magnetic instabilities in high-temperature superconductors under rapidly varying magnetic fields