Synchronization in networked mass-spring-damper oscillator systems

2010 8th IEEE International Conference on Control and Automation, ICCA 2010

Volumn , Issue , 2010, Pages 1589-1594

  Cheng, Shan ^a   Xiang, Lan ^a   Zhou, Jin ^a  

^a SHANGHAI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRAIC GRAPH THEORY; COMPLEX DYNAMICS; EXACT SOLUTION; MASS SPRING DAMPER; MATRIX THEORY; MECHANICAL SYSTEMS; NONLINEAR SPRINGS; NUMERICAL SIMULATION; OSCILLATOR SYSTEMS; SIMPLE HARMONIC MOTION; STABILITY THEORIES; SYNCHRONIZATION DYNAMICS; SYNCHRONIZATION STATE; THEORETICAL RESULT;

DYNAMICAL SYSTEMS; GRAPH THEORY; SYNCHRONIZATION;

OSCILLATORS (ELECTRONIC);

EID: 77957882050     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICCA.2010.5524382     Document Type: Conference Paper

References (21)

1. J.A. Fax and R.M. Murray, Information flow and cooperative control of vehicle formations, IEEE Transactions on Automatic Control, vol. 49, 2004, pp 1465-1476.
2. W. Ren, Distributed multi-vehicle coordinated control via local information exchange, International Journal of Robust and Nonlinear Control, vol. 17, 2007, pp 1002-1033.
3. S. Nair and N.E. Leonard, Stable synchronization of mechanical system networks, SIAM Journal Control and Optimization, vol. 47, 2008, pp 661-683.
4. A. Pogromsky and H. Nijmeijer, Cooperative oscillatory behavior of mutually coupled dynamical systems, IEEE Transactions on Circuits and Systems-I, vol. 48, 2001, pp 152-162.
5. W. Ren, Synchronization of coupled harmonic oscillators with local interaction, Automatica, vol. 44, 2008, pp 3195-3200.
6. L. Lu, Y. Yang and L. Huang, Synchronization of linearly coupled networks of deterministic ratchets. Physics Letters A, vol. 372, 2008, pp 3978-3985.
7. J. Zhou and T. Chen, Synchronization in general complex delayed dynamical networks, IEEE Transactions on Circuits and Systems-I, vol. 53, 2006, pp 733-744.
8. X.F. Wu, J.P. Cai and M.H. Wang, Master-slave chaos synchronization criteria for the horizontal platform systems via linear state error feedback control, Journal of Sound and Vibration, vol. 295, 2006, pp 378-387.
9. 6 chaotic oscillators with external excitation, Journal of Sound and Vibration, vol. 327, 2009, pp 322-332.
10. Z.M. Ge, C.H. L, S.Y. L and C.M. Chang, Chaos synchronization of double Duffing systems with parameters excited by a chaotic signal, Journal of Sound and Vibration, vol. 317, 2008, pp 449-455.
11. M. Barrón and M. Sen, Synchronization of coupled self-excited elastic beams Journal of Sound and Vibration, vol. 324, 2009, pp 209-220.
12. J. Zhou, L. Xiang and Z. Liu, Global synchronization in general complex delayed dynamical networks and its applications, Physica A, vol. 382, 2007, pp 729-742. (Pubitemid 47429909)
13. L.M. Pecora, T.L. Carrol and G.A. Johnson, Fundamentals of synchronization in chaotic systems, concepts, and applications, Chaos, vol. 7, 1998, pp 520-543.
14. C.W. Wu, Synchronization in an array linearly coupled dynamical system, IEEE Transactions on Circuits and Systems-I, vol. 42, 1995, pp 430-447.
15. M.J. Brennan, A. Carrella, T.P. Waters and V.L. Junior, On the dynamic behaviour of a mass supported by a parallel combination of a spring and an elastically connected damper, Journal of Sound and Vibration, vol. 309, 2008, pp 823-837.
16. Y. Starosvetsky and O.V. Gendelman, Dynamics of a strongly nonlinear vibration absorber coupled to a harmonically excited two-degree-of-freedom system, Journal of Sound and Vibration, vol. 312, 2008, pp 234-256.
17. J.J. Wu, Use of equivalent-damper method for free vibration analysis of a beamcarrying multiple two degree-of-freedom spring-damper-mass systems, Journal of Sound and Vibration, vol. 281, 2005, pp 275-293.
18. Yu. V. Mikhlin and S.N. Reshetnikova, Dynamical interaction of an elastic system and essentially nonlinear absorber, Journal of Sound and Vibration, vol. 283, 2005, pp 91-120.
19. F. Dohnal, Optimal dynamics stabilisation of a linear system by periodic excitation stiffness excitation, Journal of Sound and Vibration, vol. 320, 2009, pp 777-792.
20. W.K. Grassmann, Real eigenvalues of certain tridiagonal matrix polynomials, with queueing applications, Linear Algebra and Its Applications, vol. 342, 2002, pp 93-106.
21. G. Osipov, L. Glatz and H. Troger, Suppressing chaos in the Duffing Oscillator by impulsive actions, Chaos, Solitons and Fractals, vol. 9, 1998, pp 307-321.