Synchronization and bifurcation structures in coupled periodically forced non-identical Duffing oscillators

Physica Scripta

Volumn 77, Issue 4, 2008, Pages

  Vincent, U E ^a   Kenfack, A ^b  

^a OLABISI ONABANJO UNIVERSITY   (Nigeria)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC SYSTEMS; COMPUTER NETWORKS; CONTROL SYSTEM ANALYSIS; CONTROL THEORY; GRAPHIC METHODS; HOPF BIFURCATION; OSCILLATORS (ELECTRONIC); OSCILLATORS (MECHANICAL); PARAMETER ESTIMATION; SYNCHRONIZATION;

BIFURCATION STRUCTURES; BREAKDOWN (BD); CHAOTIC ATTRACTORS; CONTROL PARAMETERS; COUPLING STRENGTHS; DRIVING FORCES; DUFFING OSCILLATORS; PERIODIC FORCING; QUASI PERIODICITIES; SUPER-CRITICAL; SYMMETRY-BREAKING; THRESHOLD PARAMETERS; TWO PARAMETER; WEAK COUPLINGS;

BIFURCATION (MATHEMATICS);

EID: 43249086065     PISSN: 00318949     EISSN: 14024896     Source Type: Journal    
DOI: 10.1088/0031-8949/77/04/045005     Document Type: Article

References (32)

1. Buskirk R V and Jefries C 1985 Phys. Rev. A 31 3332
2. Strogatz S H, Marcus C M, Westervelt R M and Mirollo R E 1989 Physica D 36 23
3. Kuramoto Y 1984 Chemical Oscillations, Waves and Turbulence (New York: Springer)
4. Winfree A T 1980 The Geometry of Biological Time (Berlin: Springer)
5. Hikihara T, Torri K and Ueda Y 2001 Phys. Lett. A 281 155
6. Kozlowski J, Parlitz U and Lauterborn W 1995 Phys. Rev. E 51 186
7. Vincent U E, Kenfack A, Njah A N and Akinlade O 2005 Phys. Rev. E 72 056213
8. Shrimali M D, Prasad A, Ramaswamy R and Feudel U 2005 Phys. Rev. E 72 036215
9. Kenfack A 2003 Chaos Solitons Fractals 15 205
10. Parlitz U 1993 Int. J. Bifurcat. Chaos 3 703
11. Munuzuri A P, Perez-Munuzuri V, Gumez-Gestena M, Chua LO and Perez-Villar V 1995 Int. J. Bifurcat. Chaos 5 17
12. Kim S Y and Hu B 1998 Phys. Rev. E 58 7231
13. Perez-Munuzuri V, Gomez-Gesteria M, Munuzuri A P, Chua LO and Perez-Villar V 1995 Physica D 82 195
14. Zhang Z, Wag X and Cross M C 2002 Phys. Rev. E 65 056211
15. Pikovsky A S, Rosenblum M G and Kurths J 2001 Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge: Cambridge University Press)
16. Wang X and Zhang M 2003 Phys. Rev. E 67 066215
17. Osipov G V, Pikovsky A S and Kurths J 2002 Phys. Rev. Lett. 88 054102
18. Agiza H N and Yassen M T 2001 Phys. Lett. A 278 191
19. Vincent U E, Njah A N, Akinlade O and Solarin A R T 2004 Chaos 14 1018
20. Vincent U E, Njah A N, Akinlade O and Solarin A R T 2005 Int. J. Mod. Phys. B 19 3265
21. Vincent U E, Njah A N, Akinlade O and Solarin A R T 2006 Physica A 360 186
22. Rajasekar S J and Murali K 1999 Phys. Lett. A 264 283
23. Stoker J J 1992 Nonlinear Vibrations in Mechanical and Electrical Systems (New York: Wiley)
24. Thompson J M T and Stewart H B 1986 Nonlinear Dynamics and Chaos (New York: Wiley)
25. Venkatesan A and Lakshmanan M 1997 Phys. Rev. E 56 632
26. Kozlov A K, Sushchik M M, Molkov Y and Kuznetsov A S 1999 Int. J. Bifurcat. Chaos 9 2271
27. Nusse H E and Yorke J A 1998 Dynamics: Numerical Exploration (Berlin: Springer)
28. Kostur M, Hänggi P, Talker P and Mateos J L 2005 Phys. Rev. E 72 036210
29. Rosemblum M G, Pikovsky A S and Kurths J 1997 Phys. Rev. E 76 4193
30. Boccaletti S, Valladares D L, Kurths J, Maza D and Mancini H 2001 Phys. Rev. E 61 3712
31. Mateos J L 2000 Phys. Rev. Lett. 84 258
32. Kenfack A, Sweetnam S and Pattanayak A K 2007 Phys. Rev. E 75 056215