{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T21:20:02Z","timestamp":1648934402494},"reference-count":31,"publisher":"World Scientific Pub Co Pte Lt","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2001,11]]},"abstract":"<jats:p> We present an analytical study on the stability of distorted hexagonal patterns. From a general amplitude equation we calculate the instabilities with respect to homogeneous and longwave perturbations. The latter lead to the phase equations that permit to determine the stability regions. Slightly squeezed hexagons are locally stable in a full range of distortion angles. The stability regions obtained from the phase equation are similar to those obtained numerically by other authors [Gunaratne et al., 1994]. <\/jats:p>","DOI":"10.1142\/s021812740100384x","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T11:02:01Z","timestamp":1027767721000},"page":"2771-2777","source":"Crossref","is-referenced-by-count":1,"title":["PHASE INSTABILITIES OF DISTORTED HEXAGONAL PATTERNS"],"prefix":"10.1142","volume":"11","author":[{"given":"B.","family":"PE\u00d1A","sequence":"first","affiliation":[{"name":"Instituto de F\u00edsica, Universidad de Navarra, E-31080 Pamplona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"C.","family":"P\u00c9REZ\u2013GARC\u00cdA","sequence":"additional","affiliation":[{"name":"Instituto de F\u00edsica, Universidad de Navarra, E-31080 Pamplona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1017\/S002211200000882X"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.81.4384"},{"key":"p_3","first-page":"1261","volume":"11","author":"B\u00e9nard H.","year":"1900","journal-title":"Rev. G\u00e9n. Sci. Pure Appl."},{"key":"p_4","first-page":"84","volume":"145","author":"Bestehorn M.","year":"2000","journal-title":"Physica"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.64.2953"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.61.1198"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1209\/epl\/i1998-00315-2"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112094003642"},{"key":"p_9","first-page":"249","volume":"10","author":"Golubitsky M.","year":"1984","journal-title":"Physica"},{"key":"p_10","first-page":"2802","volume":"50","author":"Gunaratne G. H.","year":"1994","journal-title":"Phys. Rev."},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1016\/0893-9659(95)00034-N"},{"key":"p_12","first-page":"45","volume":"136","author":"Judd S. L.","year":"2000","journal-title":"Physica"},{"key":"p_14","first-page":"133","volume":"97","author":"Kudrolli A.","year":"1996","journal-title":"Physica"},{"key":"p_15","first-page":"99","volume":"123","author":"Kudrolli A.","year":"1998","journal-title":"Physica"},{"key":"p_16","first-page":"157","volume":"10","author":"Kuske R.","year":"1999","journal-title":"J. Appl. Math."},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/24\/9\/002"},{"key":"p_18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.79.1261"},{"key":"p_19","first-page":"357","volume":"70","author":"Malomed B. A.","year":"1994","journal-title":"Physica"},{"key":"p_21","first-page":"81","volume":"116","author":"Matthews P. C.","year":"1998","journal-title":"Physica"},{"key":"p_22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.75.3838"},{"key":"p_23","first-page":"233","volume":"135","author":"Nuz E.","year":"2000","journal-title":"Physica"},{"key":"p_24","doi-asserted-by":"publisher","DOI":"10.1038\/352610a0"},{"key":"p_25","doi-asserted-by":"publisher","DOI":"10.1063\/1.165931"},{"key":"p_26","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/24\/8\/005"},{"key":"p_27","doi-asserted-by":"publisher","DOI":"10.1209\/epl\/i2000-00352-3"},{"key":"p_28","first-page":"195","volume":"82","author":"P\u00e9rez-Mu\u00f1uzuri V.","year":"1995","journal-title":"Physica"},{"key":"p_29","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.84.5316"},{"key":"p_31","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.75.1938"},{"key":"p_32","first-page":"677","author":"Schmitz R.","year":"1997","journal-title":"J. Phys. (Paris)"},{"key":"p_33","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.81.2450"},{"key":"p_34","first-page":"90","volume":"74","author":"Sushchik S. S.","year":"1994","journal-title":"Physica"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021812740100384X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:10:41Z","timestamp":1565136641000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021812740100384X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,11]]},"references-count":31,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2001,11]]}},"alternative-id":["10.1142\/S021812740100384X"],"URL":"https:\/\/doi.org\/10.1142\/s021812740100384x","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,11]]}}}