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1388, 1417, 1475], 'Mathematics,': [390, 416, 684, 834, 1365, 1418, 1843], '10.1111/sapm.12459,': [391], '148:2,': [392], '(773-812),': [393], '1-Feb-2022.': [397], 'Champneys': [398, 1775, 1890, 1917, 1923, 1959, 1988, 2026], 'Editorial': [401], 'Homoclinic': [403, 815, 1065, 1459, 1893], 'snaking': [404, 1782], '21:': [406], 'memory': [408], 'Patrick': [410], 'Woods,': [411], 'IMA': [412], '10.1093/imamat/hxab041,': [417], '86:5,': [418], '(845-855),': [419], '19-Oct-2021.': [423], 'Hill': [424], 'D,': [425, 693, 981, 1140], 'Lloyd': [426, 840], 'Turner': [429], 'Localised': [432, 1493], 'Radial': [433], 'Patterns': [434], 'Free': [437], 'Surface': [438, 464, 526], 'Ferrofluid,': [441], 'Nonlinear': [444, 862, 967, 1447, 1629, 1646, 1719, 1741, 1794, 1861, 1908, 1979], 'Science,': [445, 1630], '10.1007/s00332-021-09719-z,': [446], '31:5,': [447], '1-Oct-2021.': [451], 'Deng': [452, 509, 925, 1172, 1290], 'Sun': [455, 512, 928, 1113, 1145, 1489, 1665], 'Existence': [459, 762, 1116], 'Three-Dimensional': [461, 1498, 1756], 'Multi-Hump': [462, 517], 'Gravity-Capillary': [463, 1410, 1554], 'Water': [467, 520, 739, 1555, 1642], '10.1137/20M1319991,': [476], '53:2,': [477], '(2134-2205),': [478], '1-Jan-2021.': [482], '(2020)': [488], 'gravity': [494, 962, 1436], 'capillary': [496], 'deep': [499, 1020, 1101], 'water,': [500, 1021, 1102], 'Nonlinearity,': [501, 942, 1882], '10.1088/1361-6544/ab95ad,': [502], '33:10,': [503], '(5457-5476),': [504], '1-Oct-2020.': [508], '(2019)': [514, 546, 569, 592, 618], 'Exact': [515], 'Two-Dimensional': [516], 'Depth': [523], 'Small': [525], 'Tension,': [527], 'Archive': [528, 1502], 'Rational': [530, 1504], 'Mechanics': [531, 1505], '10.1007/s00205-019-01474-6,': [534], '236:1,': [535], '(451-503),': [536], '1-Apr-2020.': [540], 'Kozlov': [541, 731], 'V': [542, 732, 1008], 'Lokharu': [544, 734], 'E': [545, 735, 1430, 1516, 1547], 'Small-amplitude': [547, 953, 1432], 'steady': [548, 1675], 'layers:': [553], 'Non-symmetric': [554], 'waves,': [555, 770, 995, 1678], 'Differential': [558, 822, 1302, 1599, 2049], 'Equations,': [559, 1303, 1600, 2050], '10.1016/j.jde.2019.04.036,': [560], '267:7,': [561], '(4170-4191),': [562], '1-Sep-2019.': [566], 'Nilsson': [567, 641, 902], 'Three‐dimensional': [570], 'internal': [571], 'gravity‐capillary': [572], 'finite': [575, 910, 1124], 'depth,': [576, 911, 1125], 'Methods': [578, 646, 890, 913, 970, 1551], 'Sciences,': [582, 894, 917, 1338, 1536, 1693, 1952, 2017], '10.1002/mma.5635,': [583], '42:12,': [584], '(4113-4145),': [585], '1-Aug-2019.': [589], 'Haragus': [590, 1662], 'Transverse': [593], 'linear': [594], 'stability': [595, 1852], 'line': [597], 'periodic': [598, 1207, 1471, 1618, 1708, 1970], 'traveling': [599, 958], 'water-wave': [602, 1975], 'models,': [603, 1858], 'Séminaire': [604], 'Laurent': [605], 'Schwartz': [606], '—': [607], 'EDP': [608], 'et': [609, 629], 'applications,': [610], '10.5802/slsedp.133,': [611], '(1-12)': [612], 'Akers': [613, 1345, 1401], 'discontinuous': [623], 'vorticity,': [624, 966, 1047, 1444], 'de': [626, 772], 'Mathématiques': [627], 'Pures': [628], 'Appliquées,': [630], '10.1016/j.matpur.2018.06.008,': [631], '124,': [632], '(220-272),': [633], '1-Apr-2019.': [637], '(2018)': [643, 668, 699, 788], 'Spatial': [644, 855, 1549], 'Dynamics': [645, 1550, 2047], 'Ferrofluid': [652], 'Jet,': [653], 'Fluid': [657, 722, 746, 998, 1050, 1105, 1817], 'Mechanics,': [658, 747, 999, 1051, 1106, 1818], '10.1007/s00021-018-0370-9,': [659], '20:4,': [660], '(1427-1458),': [661], '1-Dec-2018.': [665], 'Integral': [669], 'Asymptotic': [671, 1265, 1317], 'Properties': [672], 'Deep': [677, 1413], 'Water,': [678, 1414], '10.1002/cpa.21786,': [685], '71:10,': [686], '(1941-1956),': [687], '1-Oct-2018.': [691], 'Dutykh': [692, 982], 'Hoefer': [694], 'Mitsotakis': [697], 'wave': [701, 1857], 'their': [704, 1899], 'interactions': [705], 'fully': [707], 'nonlinear': [708], 'tension': [713, 1014], 'generalized': [716, 956], 'Serre': [717], 'equations,': [718, 1244, 1881, 2003], 'Theoretical': [719], 'Computational': [721, 833], 'Dynamics,': [723], '10.1007/s00162-018-0455-3,': [724], '32:3,': [725], '(371-397),': [726], '1-Jun-2018.': [730, 754], '(2017)': [736, 814, 845, 930, 952], 'N-Modal': [737], 'Steady': [738, 1641, 1757], 'Vorticity,': [742, 1562], '10.1007/s00021-017-0346-1,': [748], '20:2,': [749], '(853-867),': [750], 'S,': [756, 1143], 'qualitative': [764], 'theory': [765, 1117, 1673, 1705], 'stratified': [767], 'Annales': [771], "l'Institut": [773], 'Henri': [774], 'Poincaré': [775], 'C,': [776], 'Analyse': [777], 'non': [778], 'linéaire,': [779], '10.1016/j.anihpc.2017.06.003,': [780], '35:2,': [781], '(517-576)': [782], 'Ziheng': [783, 812], 'Zhang': [784, 813, 1059], 'Zhisu': [786], 'Liu': [787], 'HOMOCLINIC': [789], 'SOLUTIONS': [790], 'FOR': [791], 'FOURTH': [792], 'ORDER': [793], 'DIFFERENTIAL': [794], 'EQUATIONS': [795], 'WITH': [796], 'SUPERLINEAR': [797], 'NONLINEARITIES,': [798], 'Analysis': [802, 1218], '&': [803, 832, 971, 1128, 1162, 1189], 'Computation,': [804, 1080], '10.11948/2018.66,': [805], '8:1,': [806], '(66-80),': [807], '.': [808, 1134, 1171, 1198, 1771, 1847], 'Ying': [809], 'Wang': [810, 950, 1088], 'Solutions': [816, 1495], 'Some': [818], 'Nonperiodic': [819], 'Fourth': [820], 'Order': [821], 'Equations': [823, 1408], 'Sublinear': [825], 'Nonlinearities,': [826], 'Advances': [829], '10.15377/2409-5761.2017.04.3,': [835], '4,': [836], '(15-22)': [837], 'Stylianou': [843], 'Pattern': [846], 'formation': [847], 'free': [850], 'ferrofluid:': [854], 'bifurcation,': [859, 1791], 'Physica': [860, 1445, 1717, 1739, 1792, 1859, 1906, 1977], 'D:': [861, 1446, 1718, 1740, 1793, 1860, 1907, 1978], 'Phenomena,': [863, 1448, 1720, 1742, 1795, 1862, 1909, 1980], '10.1016/j.physd.2017.03.004,': [864], '350,': [865], '(1-12),': [866], '1-Jul-2017.': [870], 'Lu': [871], 'Zhong': [874], '(2016)': [876, 904], 'Two': [877], 'nonperiodic': [882, 1069], 'fourth-order': [883, 1211, 1242, 1382], 'differential': [884, 1072, 1212, 1243, 1384, 1468], 'without': [886, 1074, 1386], 'coercive': [887, 1075], 'condition,': [888], '10.1002/mma.4230,': [895], '40:8,': [896], '(3163-3172),': [897], '30-May-2017.': [901], 'gravity–capillary': [906, 993, 1097, 1676, 1710], '10.1002/mma.4036,': [918], '40:4,': [919], '(1053-1080),': [920], '15-Mar-2017.': [924], 'Multi-hump': [931, 1152], 'oscillations': [935], 'infinity': [937], 'stationary': [939], 'Swift–Hohenberg': [940], 'equation,': [941], '10.1088/1361-6544/aa525a,': [943], '30:2,': [944], '(765-809),': [945], '1-Feb-2017.': [949, 979], 'L': [951], 'two-layer': [963], 'fluid': [964], 'Analysis:': [968], 'Theory,': [969, 1761], 'Applications,': [972, 1220], '10.1016/j.na.2016.11.012,': [973], '150,': [974], '(159-193),': [975], 'Clamond': [980], 'Durán': [985], '(2015)': [987, 1009, 1038, 1064], 'generalised': [991], '10.1017/jfm.2015.616,': [1000], '784,': [1001], '(664-680),': [1002], '10-Dec-2015.': [1006], 'Hur': [1007], 'Kinetic,': [1010], 'potential': [1011, 1592], 'energies': [1015], 'Physics': [1024, 1247, 1278], 'A:': [1025, 1248, 1279, 1333, 1531, 1688, 1947, 2012], 'Theoretical,': [1028, 1251, 1282], '10.1088/1751-8113/48/42/42FT01,': [1029], '48:42,': [1030], '(42FT01),': [1031], '23-Oct-2015.': [1035], '10.1017/jfm.2015.52,': [1052], '768,': [1053], '(91-112),': [1054], '10-Apr-2015.': [1058], 'Z': [1060], 'Yuan': [1062], 'fourth': [1070, 1465], 'order': [1071, 1466], 'equations': [1073, 1157, 1385, 1469], 'conditions,': [1076], 'Mathematics': [1078, 1476], '10.1016/j.amc.2014.10.114,': [1081], '250,': [1082], '(280-286),': [1083], '1-Jan-2015.': [1087], 'Z,': [1089], 'Vanden-Broeck': [1090], 'J': [1091, 1200, 1229, 1579, 1929, 1992, 2030], 'Milewski': [1093, 1348, 1404], 'P': [1094, 1349, 1405, 1773], '(2014)': [1095, 1115, 1151, 1174], 'Asymmetric': [1096], '10.1017/jfm.2014.567,': [1107], '759,': [1108], '25-Nov-2014.': [1112], 'capillary-gravity': [1119], 'Control': [1127], 'Related': [1129], 'Fields,': [1130], '10.3934/mcrf.2014.4.315,': [1131], '4:3,': [1132], '(315-363),': [1133], 'W.': [1135], 'Choi': [1136], 'J,': [1137, 1659, 1922], 'S.': [1138], 'Lee': [1139], 'H.': [1141], 'Oh': [1142], 'I.': [1148], 'Whang': [1149], 'some': [1155], 'singularly-perturbed': [1156], 'KdV': [1159], 'type,': [1160], 'Discrete': [1161, 1188], 'Continuous': [1163, 1190], 'Dynamical': [1164, 1191, 1767], 'Systems': [1165, 1192], '-': [1166, 1193], 'A,': [1167, 1194, 1918, 1924], '10.3934/dcds.2014.34.5181,': [1168], '34:12,': [1169], '(5181-5209),': [1170], 'Generalized': [1175], 'pitchfork': [1176], 'bifurcation': [1177], 'two-dimensional': [1180], 'gaseous': [1181], 'star': [1182], 'self-gravity': [1184], '10.3934/dcds.2014.34.3419,': [1195], '34:9,': [1196], '(3419-3435),': [1197], 'Llibre': [1199, 1228], 'Teixeira': [1202], '(2012)': [1204, 1233], 'On': [1205, 1234, 1518], 'orbits': [1208, 1460, 1894, 1971, 2040], '10.1016/j.jmaa.2011.08.076,': [1221], '387:1,': [1222], '(181-188),': [1223], '1-Mar-2012.': [1227], 'Makhlouf': [1231], 'limit': [1236], 'cycles': [1237], 'class': [1240, 1877], '10.1088/1751-8113/45/5/055214,': [1252], '45:5,': [1253], '(055214),': [1254], '10-Feb-2012.': [1258], 'Ablowitz': [1259, 1311], 'Haut': [1262, 1314], '(2010)': [1264, 1292], 'expansions': [1266, 1318], 'two': [1272, 1324, 1462], 'three': [1274, 1326], 'dimensions,': [1275, 1327], '10.1088/1751-8113/43/43/434005,': [1283], '43:43,': [1284], '(434005),': [1285], '29-Oct-2010.': [1289], 'Two-dimensional': [1293], 'travelling': [1294, 1619, 1709], 'over': [1296], 'moving': [1298], 'bottom,': [1299], '10.1016/j.jde.2009.09.005,': [1304], '248:7,': [1305], '(1777-1793),': [1306], '1-Apr-2010.': [1310], '(2009)': [1316, 1350, 1375], 'Proceedings': [1328, 1834, 2004], 'Mathematical,': [1334, 1532, 1689, 1948, 2013], 'Physical': [1335, 1533, 1690, 1949, 2014], 'Engineering': [1337, 1535, 1692, 1951, 2016], '465:2109,': [1339], '(2725-2749),': [1340], '8-Sep-2009.': [1344], 'B': [1346, 1402, 1612, 1827], 'Model': [1352, 1407], 'Equation': [1353], 'Wavepacket': [1355], 'Arising': [1358], 'Capillary-Gravity': [1360, 1758], 'Flows,': [1361], '10.1111/j.1467-9590.2009.00432.x,': [1366], '122:3,': [1367], '(249-274),': [1368], '1-Apr-2009.': [1372], 'Li': [1373, 1456], 'C': [1374, 1457, 1732, 1807], 'Remarks': [1376], 'semilinear': [1381, 1467], 'ordinary': [1383], 'periodicity,': [1387], 'Mathematics-A': [1389], 'Chinese': [1392], 'Universities,': [1393], '10.1007/s11766-009-1948-z,': [1394], '24:1,': [1395], '(49-55),': [1396], '1-Mar-2009.': [1400], '(2008)': [1406, 1431, 1458], '10.1111/j.1467-9590.2008.00409.x,': [1419], '121:1,': [1420], '(49-69),': [1421], '1-Jul-2008.': [1425, 1455], 'Wahlén': [1429, 1515, 1546], 'Stokes': [1433], 'arbitrary': [1441], 'distribution': [1442], '10.1016/j.physd.2008.03.015,': [1449], '237:10-12,': [1450], '(1530-1538),': [1451], 'classes': [1463], 'nonlinearity,': [1472], 'Computing,': [1478], '10.1007/s12190-008-0045-4,': [1479], '27:1-2,': [1480], '(107-116),': [1481], '1-May-2008.': [1485], '(2007)': [1491, 1517, 1548], 'Fully': [1492], 'Solitary-Wave': [1494], 'Gravity–Capillary': [1499], 'Water-Wave': [1500], 'Problem,': [1501], '10.1007/s00205-007-0085-1,': [1508], '188:1,': [1509], '(1-91),': [1510], '1-Apr-2008.': [1514], 'rotational': [1519], 'Philosophical': [1525, 1679, 1938], 'Transactions': [1526, 1680, 1939], '365:1858,': [1537], '(2215-2225),': [1538], '15-Sep-2007.': [1542], 'Arbitrary': [1559], 'Distribution': [1560], '10.1137/060676040,': [1568], '39:3,': [1569], '(932-964),': [1570], '1-Jan-2007.': [1574], 'Crispin': [1575], '(2005)': [1580], 'Galerkin?s': [1581], 'method,': [1582], 'monotonicity': [1583], 'linking': [1585], 'indefinite': [1587], 'systems': [1589, 1897], 'bounded': [1591, 1714], 'energy,': [1593], 'Calculus': [1594], 'Variations': [1596], 'Partial': [1598], '10.1007/s00526-004-0297-2,': [1601], '23:2,': [1602], '(205-226),': [1603], '1-Jun-2005.': [1607], 'Sandstede': [1611], '(2004)': [1613, 1640], 'three-dimensional': [1617, 1707], 'multipulse': [1624], 'transverse': [1625, 1715], 'profiles,': [1626, 1716], '10.1007/BF02666024,': [1631], '14:3,': [1632], '(297-340),': [1633], '1-May-2004.': [1637], '10.2991/jnmp.2004.11.4.2,': [1649], '11:4,': [1650], '(435)': [1651], 'Craig': [1652], 'W,': [1653], 'Schneider': [1656, 1728], 'G,': [1657, 1920], '(2002)': [1667], 'dimension–breaking': [1669], 'phenomenon': [1670], 'London.': [1686, 1945, 2010], 'Series': [1687, 1946, 2011], '360:1799,': [1694], '(2189-2243),': [1695], '15-Oct-2002.': [1699], '(2001)': [1702, 1733, 1755], 'An': [1703], '10.1016/S0167-2789(01)00182-8,': [1721], '152-153,': [1722, 1744], '(395-415),': [1723], '1-May-2001.': [1727, 1749], 'G': [1729, 1926, 1963], 'Wayne': [1731], 'Kawahara': [1734], 'dispersive': [1737], 'media,': [1738], '10.1016/S0167-2789(01)00181-6,': [1743], '(384-394),': [1745], 'Hărăguş-Courcelle': [1750], 'Kirchgässner': [1753], 'K': [1754], 'Ergodic': [1760], 'Efficient': [1764], 'Simulation': [1765], 'Systems,': [1768], '10.1007/978-3-642-56589-2_16,': [1769], '(363-397),': [1770], 'Woods': [1772], '(1999)': [1777, 1808, 1850, 1872], 'Heteroclinic': [1778], 'tangles': [1779], 'unfolding': [1785], 'degenerate': [1788], 'reversible': [1789, 1896], 'Hamiltonian–Hopf': [1790], '10.1016/S0167-2789(98)00309-1,': [1796], '129:3-4,': [1797], '(147-170),': [1798], '1-May-1999.': [1802], 'Dias': [1803], 'F': [1804], 'Kharif': [1806], 'NONLINEAR': [1809], 'GRAVITY': [1810], 'AND': [1811], 'CAPILLARY-GRAVITY': [1812], 'WAVES,': [1813], 'Annual': [1814], 'Review': [1815], '10.1146/annurev.fluid.31.1.301,': [1819], '31:1,': [1820], '(301-346),': [1821], '1-Jan-1999.': [1825, 1869], '(2011)': [1828], 'Shooting': [1829], 'methods': [1830], 'topological': [1832], 'transversality,': [1833], 'Edinburgh:': [1840], 'Section': [1841], '10.1017/S0308210500019314,': [1844], '129:6,': [1845], '(1137-1155),': [1846], 'Levandosky': [1848], 'analysis': [1853], 'fifth-order': [1855, 1879], '10.1016/S0167-2789(98)00245-0,': [1863], '125:3-4,': [1864], '(222-240),': [1865], 'Solitary-wave': [1873], 'model': [1880], '10.1088/0951-7715/11/2/009,': [1883], '11:2,': [1884], '(341-353),': [1885], '1-Mar-1998.': [1889], '(1998)': [1892], 'applications': [1900], 'mechanics,': [1902, 1937], 'fluids': [1903], 'optics,': [1905], '10.1016/S0167-2789(97)00209-1,': [1910], '112:1-2,': [1911], '(158-186),': [1912], '1-Jan-1998.': [1916], 'Hunt': [1919, 1925], 'Thompson': [1921, 1928, 1991], '(1997)': [1930, 1964, 1993], 'Localization': [1931], 'solid': [1936], '355:1732,': [1953], '(2077-2081),': [1954], '15-Nov-1997.': [1958], 'Lord': [1962], 'Computation': [1965], 'reduced': [1974], 'problem,': [1976], '10.1016/S0167-2789(96)00206-0,': [1981], '102:1-2,': [1982], '(101-124),': [1983], '1-Mar-1997.': [1987], 'multiplicity': [1995], 'localized': [1997], 'buckling': [1998], 'modes': [1999], 'twisted': [2001], 'rod': [2002], '452:1954,': [2018], '(2467-2491),': [2019], '8-Nov-1996.': [2023], '(1996)': [2031], 'Bifurcation': [2032], 'coalescence': [2034], 'system,': [2044], '10.1007/BF02218892,': [2051], '8:2,': [2052], '(221-279),': [2053], '1-Apr-1996.': [2057], 'This': [2058], 'Issue15': [2059], '1996Volume': [2061], '354Issue': [2062], '1707': [2063], 'InformationDOI:https://doi.org/10.1098/rsta.1996.0020Published': [2065], 'by:Royal': [2066], 'SocietyPrint': [2067], 'ISSN:1364-503XOnline': [2068], 'ISSN:1471-2962History:': [2069], 'Manuscript': [2070], 'received22/12/1994Manuscript': [2071], 'accepted02/08/1995Published': [2072], 'online01/01/1997Published': [2073], 'print15/03/1996': [2075], 'License:Scanned': [2076], 'images': [2077], 'copyright': [2078], '©': [2079], '2017,': [2080], 'impact': [2085]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2085085018', 'counts_by_year': [{'year': 2024, 'cited_by_count': 3}, {'year': 2023, 'cited_by_count': 3}, {'year': 2022, 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