메뉴 건너뛰기




Volumn 10, Issue 4, 2009, Pages 2384-2395

Stability of bifurcating periodic solutions for a single delayed inertial neuron model under periodic excitation

Author keywords

Averaged method; Inertial neuron network; Periodic stimuli; Quasi periodic motion; Time delay

Indexed keywords

SYSTEM STABILITY;

EID: 61749094363     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2008.04.025     Document Type: Article
Times cited : (51)

References (26)
  • 1
    • 0001946605 scopus 로고
    • The physiology of perception
    • Freeman W.J. The physiology of perception. Sci. Amer. Feb. (1991) 34-41
    • (1991) Sci. Amer. , Issue.Feb , pp. 34-41
    • Freeman, W.J.1
  • 2
    • 84973949757 scopus 로고
    • How brains make chaos in order to make sense of the world
    • Skarda C.A., and Freeman W.J. How brains make chaos in order to make sense of the world. Behav. Brain Sci. 10 (1987) 161-195
    • (1987) Behav. Brain Sci. , vol.10 , pp. 161-195
    • Skarda, C.A.1    Freeman, W.J.2
  • 3
    • 0033967084 scopus 로고    scopus 로고
    • A proposed name for aperiodic brain activity: Stochastic chaos
    • Freeman W.J. A proposed name for aperiodic brain activity: Stochastic chaos. Neural Netw. 13 (2000) 11-13
    • (2000) Neural Netw. , vol.13 , pp. 11-13
    • Freeman, W.J.1
  • 4
    • 84874775369 scopus 로고    scopus 로고
    • Evidence of a Hopf bifurcation in frog hair cells
    • Ospeck M., Eguiluz V.M., and Magnasco M.O. Evidence of a Hopf bifurcation in frog hair cells. Biophys. J. 80 (2001) 2597-2607
    • (2001) Biophys. J. , vol.80 , pp. 2597-2607
    • Ospeck, M.1    Eguiluz, V.M.2    Magnasco, M.O.3
  • 5
    • 0033605513 scopus 로고    scopus 로고
    • k, f in guinea-pig inner hair cells is regulated by protein kinase A
    • k, f in guinea-pig inner hair cells is regulated by protein kinase A. Neuroscien. Lett. 263 (1999) 145-148
    • (1999) Neuroscien. Lett. , vol.263 , pp. 145-148
    • Jagger, D.J.1    Ashmore, J.F.2
  • 6
    • 0035622326 scopus 로고    scopus 로고
    • Local stability, Hopf and resonant codimension-two bifurcation in a harmonic oscillator with two time delays
    • Liao X.F., and Chen G.R. Local stability, Hopf and resonant codimension-two bifurcation in a harmonic oscillator with two time delays. Internal. J. Bifur. Chaos 11 (2001) 2105-2121
    • (2001) Internal. J. Bifur. Chaos , vol.11 , pp. 2105-2121
    • Liao, X.F.1    Chen, G.R.2
  • 7
    • 13544260498 scopus 로고    scopus 로고
    • Hopf bifurcation and chaos analysis of Chen's system with distributed delays
    • Liao X.F., and Chen G.R. Hopf bifurcation and chaos analysis of Chen's system with distributed delays. Chaos, Soliton Fractals 25 (2005) 197-220
    • (2005) Chaos, Soliton Fractals , vol.25 , pp. 197-220
    • Liao, X.F.1    Chen, G.R.2
  • 8
    • 18444371144 scopus 로고    scopus 로고
    • Hopf bifurcation and stability of periodic solutions for van der Pol equation with time delay
    • Yu W.W., and Cao J.D. Hopf bifurcation and stability of periodic solutions for van der Pol equation with time delay. Nonliear Anal. 62 (2005) 141-165
    • (2005) Nonliear Anal. , vol.62 , pp. 141-165
    • Yu, W.W.1    Cao, J.D.2
  • 9
    • 0032165293 scopus 로고    scopus 로고
    • Robust stability for interval Hopfield neural networks with time delay
    • Liao X.F., and Yu J.B. Robust stability for interval Hopfield neural networks with time delay. IEEE Trans Neural Netw. 9 5 (1998) 1042-1046
    • (1998) IEEE Trans Neural Netw. , vol.9 , Issue.5 , pp. 1042-1046
    • Liao, X.F.1    Yu, J.B.2
  • 10
    • 33747980962 scopus 로고    scopus 로고
    • Stability switches, bifurcations and stability of periodic solutions for neural network with continuous time delay
    • Liao X.F., Wu Z.F., and Yu J.B. Stability switches, bifurcations and stability of periodic solutions for neural network with continuous time delay. IEEE Trans, Syst. Man Cybern, Part A 29 (1999) 692-696
    • (1999) IEEE Trans, Syst. Man Cybern, Part A , vol.29 , pp. 692-696
    • Liao, X.F.1    Wu, Z.F.2    Yu, J.B.3
  • 11
    • 10044219824 scopus 로고    scopus 로고
    • Hopf bifurcation and chaos in a single inertial neuron model with time delay
    • Li C.G., Chen G.R., Liao X.F., and Yu J.B. Hopf bifurcation and chaos in a single inertial neuron model with time delay. Eur. Phys. J. B 41 (2004) 337-343
    • (2004) Eur. Phys. J. B , vol.41 , pp. 337-343
    • Li, C.G.1    Chen, G.R.2    Liao, X.F.3    Yu, J.B.4
  • 13
    • 1942454843 scopus 로고    scopus 로고
    • Bifurcation analysis on a two-neuron system with distributed delays in the frequency domain
    • Liao X.F., Li S.W., and Chen G.R. Bifurcation analysis on a two-neuron system with distributed delays in the frequency domain. Neural Netw. 17 (2004) 545-561
    • (2004) Neural Netw. , vol.17 , pp. 545-561
    • Liao, X.F.1    Li, S.W.2    Chen, G.R.3
  • 14
    • 0031204355 scopus 로고    scopus 로고
    • Self-organization processes in chaotic neural networks under external periodic force
    • Bondarenko V.E. Self-organization processes in chaotic neural networks under external periodic force. Internat. J. Bifur. chaos 7 (1997) 1887-1895
    • (1997) Internat. J. Bifur. chaos , vol.7 , pp. 1887-1895
    • Bondarenko, V.E.1
  • 15
    • 0024514737 scopus 로고
    • Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties
    • Gray C.M., König P., Engel A.K., and Singer W. Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties. Nature 338 (1989) 334-337
    • (1989) Nature , vol.338 , pp. 334-337
    • Gray, C.M.1    König, P.2    Engel, A.K.3    Singer, W.4
  • 16
    • 0036565298 scopus 로고    scopus 로고
    • Sariyasa, Time delays and stimulus-dependent pattern formation in periodic enviroments in isolated neurons
    • Gopalsamy K. Sariyasa, Time delays and stimulus-dependent pattern formation in periodic enviroments in isolated neurons. IEEE Trans. Neural Netw. 13 3 (2002) 551-563
    • (2002) IEEE Trans. Neural Netw. , vol.13 , Issue.3 , pp. 551-563
    • Gopalsamy, K.1
  • 17
    • 0038537695 scopus 로고    scopus 로고
    • Stability and chaos in an inertial two-neuron system
    • Wheeler D.W., and Schieve W.C. Stability and chaos in an inertial two-neuron system. Physica D 105 (1997) 267-284
    • (1997) Physica D , vol.105 , pp. 267-284
    • Wheeler, D.W.1    Schieve, W.C.2
  • 19
    • 0037947648 scopus 로고    scopus 로고
    • Effects of time delayed position feedback on a van der Pol-Dyffing oscillator
    • pp. 17-39J
    • Xu J., and Chung K.W. Effects of time delayed position feedback on a van der Pol-Dyffing oscillator. Physica D 180 (2003) pp. 17-39J
    • (2003) Physica D , vol.180
    • Xu, J.1    Chung, K.W.2
  • 20
    • 23944482916 scopus 로고    scopus 로고
    • Effect of external excitations on a nonlinear system with time delay
    • Ji J.C., Hansen C.H., and Li X.Y. Effect of external excitations on a nonlinear system with time delay. Nonlinear Dyn. 41 (2005) 385-402
    • (2005) Nonlinear Dyn. , vol.41 , pp. 385-402
    • Ji, J.C.1    Hansen, C.H.2    Li, X.Y.3
  • 21
    • 46749115808 scopus 로고    scopus 로고
    • Bifurcations and chaos due to time delay in a delayed control non-autonomous system
    • (In Chinese)
    • Xu J., and Lu Q.S. Bifurcations and chaos due to time delay in a delayed control non-autonomous system. Acta Mech. Sin. 35 (2003) 443-451 (In Chinese)
    • (2003) Acta Mech. Sin. , vol.35 , pp. 443-451
    • Xu, J.1    Lu, Q.S.2
  • 23
    • 33751101601 scopus 로고    scopus 로고
    • Research for Hopf bifurcation of an inertial two-neuron system with time delay
    • Q. Liu, X.F. Liao, G.Y. Wang, Y. Wu, Research for Hopf bifurcation of an inertial two-neuron system with time delay, in: IEEE Proceeding GRC 2006, pp. 420-423
    • IEEE Proceeding , vol.GRC 2006 , pp. 420-423
    • Liu, Q.1    Liao, X.F.2    Wang, G.Y.3    Wu, Y.4
  • 24
    • 27144453577 scopus 로고    scopus 로고
    • Stability and dynamics of a controlled van der Pol-Duffing oscillator
    • Ji J.C., and Hansan C.H. Stability and dynamics of a controlled van der Pol-Duffing oscillator. Chaos, Soliton Fractals 28 (2006) 555-570
    • (2006) Chaos, Soliton Fractals , vol.28 , pp. 555-570
    • Ji, J.C.1    Hansan, C.H.2
  • 25
    • 46749089656 scopus 로고    scopus 로고
    • The research for Hopf bifurcation in a single inertial neuron model with external forcing
    • Q. Liu, X.F. Liao, D.G. Yang, S.T. Guo, The research for Hopf bifurcation in a single inertial neuron model with external forcing, in: IEEE Proceeding GRC 2007, pp. 528-533
    • IEEE Proceeding , vol.GRC 2007 , pp. 528-533
    • Liu, Q.1    Liao, X.F.2    Yang, D.G.3    Guo, S.T.4
  • 26
    • 33745147222 scopus 로고    scopus 로고
    • Delayed-dependent asymptotic stability for neural networks with distributed delays
    • Liao X.F., Liu Q., and Zhang W. Delayed-dependent asymptotic stability for neural networks with distributed delays. Nonlinear Anal. RWA 7 (2006) 1178-1192
    • (2006) Nonlinear Anal. RWA , vol.7 , pp. 1178-1192
    • Liao, X.F.1    Liu, Q.2    Zhang, W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.