 Živković was born in Belgrade, where he studied violin at the Music Academy, and then composition at the same school with Vlastimir Trajković; later he studied at the Royal College of Music in Stockholm under Pär Lindgren.His musical style is characterized by fantastic narration, virtuoso instrumentation and stylistic highly profiled sound.He has developed a variety of compositional techniques such as polyrhythmic, improvisation, special harmony based scales, microtones, layer-polyphony and heterophony.