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We demonstrate the existence of particular codimension-2 bifurcation (big-bang bifurcation) points in the parameter space, from which infinitely many bifurcation curves are issuing associated with cycles involving several partitions. We describe how the bifurcation structure of a map with one discontinuity is modified by the introduction of a second discontinuity point, which causes orbits to appear located on three partitions and organized again in a period-adding structure. We also describe particular codimension-2 bifurcation points which represent limit sets of doubly infinite sequences of bifurcation curves and appear due to the existence of two discontinuities. <\/jats:p>","DOI":"10.1142\/s021812741250068x","type":"journal-article","created":{"date-parts":[[2012,2,15]],"date-time":"2012-02-15T20:41:54Z","timestamp":1329338514000},"page":"1250068","source":"Crossref","is-referenced-by-count":22,"title":["PERIOD ADDING IN PIECEWISE LINEAR MAPS WITH TWO DISCONTINUITIES"],"prefix":"10.1142","volume":"22","author":[{"given":"FABIO","family":"TRAMONTANA","sequence":"first","affiliation":[{"name":"Department of Economics and Quantitative Methods, University of Pavia, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"LAURA","family":"GARDINI","sequence":"additional","affiliation":[{"name":"Department of Economics, Society and Politics, University of Urbino, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"VIKTOR","family":"AVRUTIN","sequence":"additional","affiliation":[{"name":"Institute of Parallel and Distributed Systems, University of Stuttgart, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"MICHAEL","family":"SCHANZ","sequence":"additional","affiliation":[{"name":"Institute of Parallel and Distributed Systems, University of Stuttgart, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/19\/3\/001"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/19\/8\/007"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127410027581"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1109\/81.841921"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1109\/81.847870"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.59.4052"},{"key":"rf7","first-page":"1","volume":"33","author":"Bischi G. 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