Chaos and strange attractors in coupled oscillators with energy-preserving nonlinearity
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Published in | Journal of physics. A, Mathematical and theoretical Vol. 41; no. 25; p. 255101 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
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Bristol
IOP Publishing
27.06.2008
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Author | Adi-Kusumo, F Setya-Budhi, W Tuwankotta, J M |
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Cites_doi | 10.1016/S0167-2789(03)00123-4 10.1016/S0020-7462(00)00115-3 10.1007/978-1-4757-4575-7 10.1142/S0218127493000301 10.1088/0951-7715/16/2/319 10.1007/s000330050118 10.1016/j.ijnonlinmec.2005.02.007 10.1007/BF00953660 10.1145/779359.779362 10.1016/0022-0396(79)90152-9 10.1007/978-1-4757-1693-1 10.1023/A:1022072808880 10.1007/BF01229286 10.1007/978-1-4612-1508-0 10.1175/1520-0469(2002)059<1533:HDASFA>2.0.CO;2 |
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Issue | 25 |
Keywords | Chaos Singularly perturbed systems Strange attractors Coupled oscillator Dynamics Homoclinic orbit Chaotic attractor Nonlinearity Resonance Hopf bifurcation Periodic solution |
Language | English |
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References | Sanders J A (17) 1985; 59 Tondl A (19) 2000 23 24 14 15 16 Guillemin V (8) 1974 18 Arnol'd V I (1) 1978 Hirsch M W (10) 1994; 33 Haller G (9) 1999; 138 Tuwankotta J M (20) 2000; 61 Tuwankotta J M (22) 2003; 16 Kuznetsov Y A (11) 1998; 112 Broer H W (3) 1995; 4 2 4 5 6 7 Langford W F (13) 1999 Tuwankotta J M (21) 2002 Langford W F (12) 1999; 24 |
References_xml | – volume: 112 year: 1998 ident: 11 publication-title: Elements of Applied Bifurcation Theory (Applied Mathematical Sciences contributor: fullname: Kuznetsov Y A – ident: 23 doi: 10.1016/S0167-2789(03)00123-4 – volume: 61 start-page: 1369 year: 2000 ident: 20 publication-title: SIAM J. Appl. Math. contributor: fullname: Tuwankotta J M – ident: 6 doi: 10.1016/S0020-7462(00)00115-3 – start-page: 1 year: 1999 ident: 13 publication-title: Hopf Bifurcation Near 0:1 Resonance Proc. BTNA'98 eds Chen, Chow and Li contributor: fullname: Langford W F – volume: 59 year: 1985 ident: 17 publication-title: Averaging Methods in Nonlinear Dynamical System (Appl. Math. Sciences) doi: 10.1007/978-1-4757-4575-7 contributor: fullname: Sanders J A – volume: 24 start-page: 365 year: 1999 ident: 12 publication-title: Field Inst. Commun. contributor: fullname: Langford W F – ident: 14 doi: 10.1142/S0218127493000301 – volume: 16 start-page: 689 issn: 0951-7715 year: 2003 ident: 22 publication-title: Nonlinearity doi: 10.1088/0951-7715/16/2/319 contributor: fullname: Tuwankotta J M – ident: 18 doi: 10.1007/s000330050118 – ident: 24 doi: 10.1016/j.ijnonlinmec.2005.02.007 – volume: 4 start-page: 1 year: 1995 ident: 3 publication-title: Field Inst. Commun. contributor: fullname: Broer H W – ident: 2 doi: 10.1007/BF00953660 – year: 1974 ident: 8 publication-title: Differential Topology contributor: fullname: Guillemin V – volume: 33 year: 1994 ident: 10 publication-title: Differential Topology (Graduate Texts in Mathematics contributor: fullname: Hirsch M W – ident: 5 doi: 10.1145/779359.779362 – ident: 7 doi: 10.1016/0022-0396(79)90152-9 – year: 1978 ident: 1 publication-title: Mathematical Methods of Classical Mechanics doi: 10.1007/978-1-4757-1693-1 contributor: fullname: Arnol'd V I – ident: 15 doi: 10.1023/A:1022072808880 – ident: 16 doi: 10.1007/BF01229286 – volume: 138 year: 1999 ident: 9 publication-title: Chaos Near Resonance (Applied Mathematical Sciences doi: 10.1007/978-1-4612-1508-0 contributor: fullname: Haller G – year: 2000 ident: 19 publication-title: Autoparametric Resonance in Mechanical Systems contributor: fullname: Tondl A – ident: 4 doi: 10.1175/1520-0469(2002)059<1533:HDASFA>2.0.CO;2 – year: 2002 ident: 21 contributor: fullname: Tuwankotta J M |
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Title | Chaos and strange attractors in coupled oscillators with energy-preserving nonlinearity |
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