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The existence of 3D magnetic textures with particle-like properties (3D solitons) is known as intriguing theoretical prediction during four decades. However, despite the successful studies of recent years, 3D magnetic textures still remain a little studied area, which makes it difficult to introduce such newmaterials for technological employment.In order to bring the creation of new devices based on 3D textures closer, in the 3DMATEX project a comprehensive theoretical study of statical and dynamical properties of such magnetic systemswill be performed. The priority issues to explore are: createstate diagrams of the 3D magnetic configurations in cylindrical nanowires, describe resonant motion of 3D solitonsin cylindrical geometries, investigate3D solitons inside of the cylindrical magnetic wires inordered arrayandconsiderthis structure as aversatile green magnetic storage unit with a three-dimensional architecture, study Bloch point and vortex oscillation frequencies in cylindrical nanowire. As a result, the project will answer the principal questionsregarding physics and properties of stable 3D magnetization textures in confined structures:What materials can produce non-trivial 3D magnetization textures? What is their topology? What is their dynamics? How we can control and determined their oscillations? What is detailed magnetization configuration, in particular of the Bloch-point 3D domain wall in cylindrical geometry?With basic knowladge about the physical properties of 3D magnetization textures developed in the project,the important step towardtheirtechnological applications will be done, towards the long-term vision of versatile green magnetic storage units with a 3D architecture, openning a new routefor spintronics which promiseslow energy consuming computations.