We investigate the magnetic structures in a bilayer magnetic system with the locally inverted interlayer coupling region using Monte Carlo simulation. Stabilization of multiple magnetic structures including the magnetic skyrmion is possible in the locally inverted interlayer coupling region. Various factors such as the region area, anisotropy, interlayer coupling strength, and exchange coupling strength affects the properties of the structures including its size and chirality. We obtain conditions for their stabilization and for the magnetic structural transitions. Dzyaloshinskii-Moriya interaction (DMI) and the dipolar interaction play a prominent role as they enhance the formation and the stability of structures significantly. An asymmetric feature can arise from the broken inversion symmetry in the structure formation, and it gives an interfacial DMI, which stabilizes the skyrmion. It is realized that the dipole interaction also acts as an effective interfacial DMI in the system.
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