메뉴 건너뛰기




Volumn 52, Issue 6, 2005, Pages 344-348

Hyperchaotic Spiking Oscillators With Periodic Pulse-Train Input

Author keywords

Bifurcation chaos; circuits; neural networks; nonlinear; synchronization

Indexed keywords

BIFURCATION (MATHEMATICS); CAPACITORS; CHAOS THEORY; CIRCUIT THEORY; ELECTRIC SWITCHES; LINEAR EQUATIONS; NEURAL NETWORKS; NONLINEAR EQUATIONS; PIECEWISE LINEAR TECHNIQUES; RESISTORS; SYNCHRONIZATION;

EID: 22244457368     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2005.849002     Document Type: Article
Times cited : (2)

References (27)
  • 1
    • 0033328895 scopus 로고    scopus 로고
    • Nonlinear analysis of the Colpitts oscillator and application to design
    • Sep.
    • G. M. Maggio, O. De Feo, and M. P. Kennedy, “Nonlinear analysis of the Colpitts oscillator and application to design,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 46, no. 9, pp. 1118–1130, Sep. 1999.
    • (1999) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.46 , Issue.9 , pp. 1118-1130
    • Maggio, G.M.1    De Feo, O.2    Kennedy, M.P.3
  • 2
    • 0034244469 scopus 로고    scopus 로고
    • Nonsmooth bifurcations in a piecewise-linear model of the Colpitts oscillator
    • Nov.
    • G. M. Maggio, M. di Bernardo, and M. P. Kennedy, “Nonsmooth bifurcations in a piecewise-linear model of the Colpitts oscillator,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 47, no. 11, pp. 1160–1177, Nov. 2000.
    • (2000) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.47 , Issue.11 , pp. 1160-1177
    • Maggio, G.M.1    di Bernardo, M.2    Kennedy, M.P.3
  • 3
    • 0035271861 scopus 로고    scopus 로고
    • Construction of classes of circuit-independent chaotic oscillators using passive-only nonlinear devices
    • Mar.
    • A. S. Elwakil and M. P. Kennedy, “Construction of classes of circuit-independent chaotic oscillators using passive-only nonlinear devices,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 48, no. 3, pp. 289–307, Mar. 2001.
    • (2001) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.48 , Issue.3 , pp. 289-307
    • Elwakil, A.S.1    Kennedy, M.P.2
  • 4
    • 0025405332 scopus 로고
    • An approach toward higher dimensional hysteresis chaos generators
    • Mar.
    • T. Saito, “An approach toward higher dimensional hysteresis chaos generators,” IEEE Trans. Circuits Syst., vol. 37, no. 3, pp. 399–409, Mar. 1990.
    • (1990) IEEE Trans. Circuits Syst. , vol.37 , Issue.3 , pp. 399-409
    • Saito, T.1
  • 5
    • 0028732439 scopus 로고
    • On fundamental bifurcations from a hysteresis hyperchaos generator
    • Dec.
    • T. Suzuki and T. Saito, “On fundamental bifurcations from a hysteresis hyperchaos generator,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 41, no. 12, pp. 876–884, Dec. 1994.
    • (1994) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.41 , Issue.12 , pp. 876-884
    • Suzuki, T.1    Saito, T.2
  • 8
    • 0034257995 scopus 로고    scopus 로고
    • Period adding bifurcations and chaos in a periodically stimulated excitable neural relaxation oscillator
    • S. Coombes and A. H. Osbaldestin, “Period adding bifurcations and chaos in a periodically stimulated excitable neural relaxation oscillator,” Phys. Rev. E, vol. 62, pp. 4057–4066, 2000.
    • (2000) Phys. Rev. E , vol.62 , pp. 4057-4066
    • Coombes, S.1    Osbaldestin, A.H.2
  • 9
    • 0037303798 scopus 로고    scopus 로고
    • Generating chaotic attractors with multiple merged basins of attraction: a switching piecewise-linear control approach
    • Feb.
    • J. Lu, X. Yu, and G. Chen, “Generating chaotic attractors with multiple merged basins of attraction: a switching piecewise-linear control approach,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 50, no. 2, pp. 198–207, Feb. 2003.
    • (2003) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.50 , Issue.2 , pp. 198-207
    • Lu, J.1    Yu, X.2    Chen, G.3
  • 10
    • 2542606242 scopus 로고    scopus 로고
    • Characterizing the synchronizability of small-world dynamical networks
    • Apr.
    • J. Lu, X. Yu, G. Chen, and D. Cheng, “Characterizing the synchronizability of small-world dynamical networks,” IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 51, no. 4, pp. 787–796, Apr. 2004.
    • (2004) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.51 , Issue.4 , pp. 787-796
    • Lu, J.1    Yu, X.2    Chen, G.3    Cheng, D.4
  • 11
    • 0035184762 scopus 로고    scopus 로고
    • The bifurcating neuron network 1
    • G. Lee and N. H. Farhat, “The bifurcating neuron network 1,” Neural Netw., vol. 14, pp. 115–131, 2001.
    • (2001) Neural Netw. , vol.14 , pp. 115-131
    • Lee, G.1    Farhat, N.H.2
  • 12
    • 0025567093 scopus 로고
    • Synchronization of pulse-coupled biological oscillators
    • R. E. Mirollo and S. H. Strogatz, “Synchronization of pulse-coupled biological oscillators,” SIAM J. Appl. Math., vol. 50, pp. 1645–1662, 1990.
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 1645-1662
    • Mirollo, R.E.1    Strogatz, S.H.2
  • 13
    • 0029162576 scopus 로고
    • Rapid local synchronization of action potentials: toward computation with coupled integrate-and-fire neurons
    • J. J. Hopfield and A. V. M. Herz, “Rapid local synchronization of action potentials: toward computation with coupled integrate-and-fire neurons,” Proc. Natl. Acad. Sci., vol. 92, pp. 6655–6662, 1995.
    • (1995) Proc. Natl. Acad. Sci. , vol.92 , pp. 6655-6662
    • Hopfield, J.J.1    Herz, A.V.M.2
  • 14
    • 0033208597 scopus 로고    scopus 로고
    • Synchrony and desynchrony in integrate-and-fire oscillators
    • S. R. Campbell, D. L. Wang, and C. Jayaprakash, “Synchrony and desynchrony in integrate-and-fire oscillators,” Neural Comp., vol. 11, pp. 1595–1619, 1999.
    • (1999) Neural Comp. , vol.11 , pp. 1595-1619
    • Campbell, S.R.1    Wang, D.L.2    Jayaprakash, C.3
  • 15
    • 0032678448 scopus 로고    scopus 로고
    • Weakly pulse-coupled oscillators, FM interactions, synchronization, and oscillatory associative memory
    • Jun.
    • E. M. Izhikevich, “Weakly pulse-coupled oscillators, FM interactions, synchronization, and oscillatory associative memory,” IEEE Trans. Neural Netw., vol. 10, no. 3, pp. 508–526, Jun. 1999.
    • (1999) IEEE Trans. Neural Netw. , vol.10 , Issue.3 , pp. 508-526
    • Izhikevich, E.M.1
  • 16
    • 0000482163 scopus 로고    scopus 로고
    • Driving and synchronizing by chaotic impulses
    • T. Stojanovski, L. Kocarev, and U. Parlitz, “Driving and synchronizing by chaotic impulses,” Phys. Rev. E, vol. 54, pp. 2128–2131, 1996.
    • (1996) Phys. Rev. E , vol.54 , pp. 2128-2131
    • Stojanovski, T.1    Kocarev, L.2    Parlitz, U.3
  • 17
    • 0000293625 scopus 로고    scopus 로고
    • Chaotic pulse position modulation: a robust method of communicating with chaos
    • Jan.
    • M. Sushchik Jr., N. Rulkov, L. Larson, L. Tsimring, H. Abarbanel, K. Yao, and A. Volkovskii, “Chaotic pulse position modulation: a robust method of communicating with chaos,” IEEE Comm. Lett., vol. 4, no. 1, pp. 128–130, Jan. 2000.
    • (2000) IEEE Comm. Lett. , vol.4 , Issue.1 , pp. 128-130
    • Sushchik, M.1    Rulkov, N.2    Larson, L.3    Tsimring, L.4    Abarbanel, H.5    Yao, K.6    Volkovskii, A.7
  • 18
  • 19
    • 4644244235 scopus 로고    scopus 로고
    • Grouping synchronization in a pulse-coupled network of chaotic spiking oscillators
    • Oct.
    • H. Nakano and T. Saito, “Grouping synchronization in a pulse-coupled network of chaotic spiking oscillators,” IEEE Trans. Neural Netw., vol. 15, no. 5, pp. 1018–1026, Oct. 2004.
    • (2004) IEEE Trans. Neural Netw. , vol.15 , Issue.5 , pp. 1018-1026
    • Nakano, H.1    Saito, T.2
  • 22
    • 0141638669 scopus 로고    scopus 로고
    • Response of a simple dependent switched capacitor circuit to a pulse-train input
    • Sep.
    • K. Miyachi, H. Nakano, and T. Saito, “Response of a simple dependent switched capacitor circuit to a pulse-train input,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 50, no. 9, pp. 1180–1187, Sep. 2003.
    • (2003) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.50 , Issue.9 , pp. 1180-1187
    • Miyachi, K.1    Nakano, H.2    Saito, T.3
  • 23
    • 4744354733 scopus 로고    scopus 로고
    • A simple hyperchaos generator based on impulsive switching
    • Sep.
    • Y. Takahashi, H. Nakano, and T. Saito, “A simple hyperchaos generator based on impulsive switching,” IEEE Trans. Circuits Syst. II, Expr. Briefs, vol. 51, no. 9, pp. 468–472, Sep. 2004.
    • (2004) IEEE Trans. Circuits Syst. II, Expr. Briefs , vol.51 , Issue.9 , pp. 468-472
    • Takahashi, Y.1    Nakano, H.2    Saito, T.3
  • 24
    • 0019701505 scopus 로고
    • Integrate-and-fire models of nerve membrane response to oscillatory input
    • J. P. Keener, F. C. Hoppensteadt, and J. Rinzel, “Integrate-and-fire models of nerve membrane response to oscillatory input,” SIAM J. Appl. Math., vol. 41, pp. 503–517, 1981.
    • (1981) SIAM J. Appl. Math. , vol.41 , pp. 503-517
    • Keener, J.P.1    Hoppensteadt, F.C.2    Rinzel, J.3
  • 25
    • 1842842200 scopus 로고    scopus 로고
    • Chaotic firing in the sinusoidally forced leaky integrate and fire model with threshold fatigue
    • M. J. Chacron, A. Longtin, and K. Pakdaman, “Chaotic firing in the sinusoidally forced leaky integrate and fire model with threshold fatigue,” Phys. D, vol. 192, pp. 138–160, 2004.
    • (2004) Phys. D , vol.192 , pp. 138-160
    • Chacron, M.J.1    Longtin, A.2    Pakdaman, K.3
  • 26
    • 0001908316 scopus 로고    scopus 로고
    • Liapunov exponents and mode-locked solutions for integrate-and-fire dynamical systems
    • S. Coombes, “Liapunov exponents and mode-locked solutions for integrate-and-fire dynamical systems,” Phys. Lett. A, vol. 255, pp. 49–57, 1999.
    • (1999) Phys. Lett. A , vol.255 , pp. 49-57
    • Coombes, S.1
  • 27
    • 0034767817 scopus 로고    scopus 로고
    • Resonate-and-fire neurons
    • E. M. Izhikevich, “Resonate-and-fire neurons,” Neural Netw., vol. 14, pp. 883–894, 2001.
    • (2001) Neural Netw. , vol.14 , pp. 883-894
    • Izhikevich, E.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.