메뉴 건너뛰기




Volumn 23, Issue 12, 2013, Pages

Synchronization of coupled neural oscillators with heterogeneous delays

Author keywords

Delayed coupling; neural oscillators; synchronization

Indexed keywords

AUTOCORRELATION; TIME DELAY;

EID: 84891854297     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127413300395     Document Type: Article
Times cited : (39)

References (38)
  • 2
    • 0033698914 scopus 로고    scopus 로고
    • Bifurcations in one-dimensional piecewise smooth maps-Theory and applications in switching circuits
    • Banerjee, S., Karthik, M. S., Yuan, G. & Yorke, J. A. [2000]. Bifurcations in one-dimensional piecewise smooth maps-Theory and applications in switching circuits. IEEE Trans. Circuits Syst-I 47, 389-394
    • (2000) IEEE Trans. Circuits Syst-I , vol.47 , pp. 389-394
    • Banerjee, S.1    Karthik, M.S.2    Yuan, G.3    Yorke, J.A.4
  • 5
    • 13844276983 scopus 로고    scopus 로고
    • Piecewise twodimensional maps and applications to cellular neural networks
    • Chang, H-M. & Juang, J. [2004]. Piecewise twodimensional maps and applications to cellular neural networks. Int. J. Bifurcation and Chaos 14, 2223-2228
    • (2004) Int. J. Bifurcation and Chaos , vol.14 , pp. 2223-2228
    • Chang, H.-M.1    Juang, J.2
  • 6
    • 84925975771 scopus 로고
    • Irregular growth cycles
    • Day, R. [1982]. Irregular growth cycles. Amer. Econ. Rev. 72, 406-414
    • (1982) Amer. Econ. Rev , vol.72 , pp. 406-414
    • Day, R.1
  • 7
    • 0041822709 scopus 로고    scopus 로고
    • Grazing, skipping and sliding: Analysis of the nonsmooth dynamics of the dc/dc buck converter
    • di Bernardo, M., Budd, C. J. & Champneys, A. R. [1998]. Grazing, skipping and sliding: Analysis of the nonsmooth dynamics of the DC/DC buck converter. Nonlinearity 11, 858-890
    • (1998) Nonlinearity , vol.11 , pp. 858-890
    • Di Bernardo, M.1    Budd, C.J.2    Champneys, A.R.3
  • 8
    • 0033229544 scopus 로고    scopus 로고
    • Local analysis of C-bifurcations in ndimensional piecewise smooth dynamical systems
    • di Bernardo, M., Feigin, M. I., Hogan, S. J. & Homer, M. E. [1999]. Local analysis of C-bifurcations in ndimensional piecewise smooth dynamical systems. Chaos Solit. Fract. 10, 1881-1908
    • (1999) Chaos Solit. Fract , vol.10 , pp. 1881-1908
    • Di Bernardo, M.1    Feigin, M.I.2    Hogan, S.J.3    Homer, M.E.4
  • 11
    • 0000863642 scopus 로고
    • Doubling of the oscillation period with C-bifurcations in piecewise-continuous systems
    • Feigin, M. I. [1970]. Doubling of the oscillation period with C-bifurcations in piecewise-continuous systems. Prikl. Math. Mekh. 34, 861-869
    • (1970) Prikl. Math. Mekh , vol.34 , pp. 861-869
    • Feigin, M.I.1
  • 13
    • 77956056235 scopus 로고    scopus 로고
    • Border collision bifurcations and route to chaos in a two-dimensional piecewise linear map
    • Fournier-Prunaret, D., Charǵe, P. & Gardini, L. [2011]. Border collision bifurcations and route to chaos in a two-dimensional piecewise linear map. Commun. Nonlin. Sci. Numer. Simul. 16, 916-927
    • (2011) Commun. Nonlin. Sci. Numer. Simul , vol.16 , pp. 916-927
    • Fournier-Prunaret, D.1    Charǵe, P.2    Gardini, L.3
  • 14
    • 0001509657 scopus 로고    scopus 로고
    • Bifurcations and chaos in a fourdimensional mechanical system with dry-friction
    • Galvanetto, U. [1997]. Bifurcations and chaos in a fourdimensional mechanical system with dry-friction. J. Sound Vib. 204, 690-695
    • (1997) J. Sound Vib , vol.204 , pp. 690-695
    • Galvanetto, U.1
  • 15
    • 55549139071 scopus 로고    scopus 로고
    • Growing through chaotic intervals
    • Gardini, L., Sushko, I. & Naimzada, A. [2008]. Growing through chaotic intervals. J. Econ. Th. 143, 541-557
    • (2008) J. Econ. Th. , vol.143 , pp. 541-557
    • Gardini, L.1    Sushko, I.2    Naimzada, A.3
  • 16
    • 78651590294 scopus 로고    scopus 로고
    • Border-collision bifurcations in 1d piecewiselinear maps and leonov's approach
    • Gardini, L., Tramontana, F., Avrutin, V. & Schanz, M. [2010]. Border-collision bifurcations in 1D piecewiselinear maps and Leonov's approach. Int. J. Bifurcation and Chaos 20, 3085-3104
    • (2010) Int. J. Bifurcation and Chaos , vol.20 , pp. 3085-3104
    • Gardini, L.1    Tramontana, F.2    Avrutin, V.3    Schanz, M.4
  • 17
    • 79955004058 scopus 로고    scopus 로고
    • Border collision bifurcation curves and their classification in a family of one-dimensional discontinuous maps
    • Gardini, L. & Tramontana, F. [2011]. Border collision bifurcation curves and their classification in a family of one-dimensional discontinuous maps. Chaos Solit. Fract. 44, 248-259
    • (2011) Chaos Solit. Fract , vol.44 , pp. 248-259
    • Gardini, L.1    Tramontana, F.2
  • 18
    • 0038199707 scopus 로고
    • Recurrences and discrete dynamical systems
    • Springer-Verlag
    • Gumovsky, I. & Mira, C. [1980] Recurrences and Discrete Dynamical Systems, Lecture Notes in Mathematics, Vol. 809 (Springer-Verlag
    • (1980) Lecture Notes in Mathematics , vol.809
    • Gumovsky, I.1    Mira, C.2
  • 19
    • 0030147357 scopus 로고    scopus 로고
    • Global aspects of homoclinic bifurcations of vector fields
    • Springer, Heidelberg
    • Homburg, A. J. [1996] Global Aspects of Homoclinic Bifurcations of Vector Fields, Memories of the American Mathematical Society, Vol. 578 (Springer, Heidelberg
    • (1996) Memories of the American Mathematical Society , vol.578
    • Homburg, A.J.1
  • 20
    • 0007382289 scopus 로고
    • Period three to period two bifurcations for piecewise linear models
    • Hommes, C. H. & Nusse, H. [1991]. Period three to period two bifurcations for piecewise linear models. J. Econ. 54, 157-169
    • (1991) J. Econ , vol.54 , pp. 157-169
    • Hommes, C.H.1    Nusse, H.2
  • 21
    • 84972518409 scopus 로고
    • On unimodal transformations and chaos, part ii
    • Ito, S., Tanaka, S. & Nakada, H. [1979]. On unimodal transformations and chaos, Part II. Tokyo J. Math. 2, 241-259
    • (1979) Tokyo J. Math , vol.2 , pp. 241-259
    • Ito, S.1    Tanaka, S.2    Nakada, H.3
  • 22
    • 84967763051 scopus 로고
    • Chaotic behavior in piecewise continuous difference equations
    • Keener, J. P. [1980]. Chaotic behavior in piecewise continuous difference equations. Trans. Amer. Math. Soc. 261, 589-604
    • (1980) Trans. Amer. Math. Soc , vol.261 , pp. 589-604
    • Keener, J.P.1
  • 23
  • 24
    • 0039823381 scopus 로고
    • Map of the line onto itself
    • Leonov, N. N. [1959]. Map of the line onto itself. Radiofisika 3, 942-956
    • (1959) Radiofisika , vol.3 , pp. 942-956
    • Leonov, N.N.1
  • 25
    • 0034244469 scopus 로고    scopus 로고
    • Nonsmooth bifurcations in a piecewise-linear model of the colpitts oscillator
    • Maggio, G. M., di Bernardo, M. & Kennedy, M. P. [2000]. Nonsmooth bifurcations in a piecewise-linear model of the Colpitts oscillator. IEEE Trans. Circuits Syst-I 47, 1160-1177
    • (2000) IEEE Trans. Circuits Syst-I , vol.47 , pp. 1160-1177
    • Maggio, G.M.1    Di Bernardo, M.2    Kennedy, M.P.3
  • 28
    • 0000150544 scopus 로고    scopus 로고
    • Growing through cycles
    • Matsuyama, K. [1999]. Growing through cycles. Econometrica 67, 335-347
    • (1999) Econometrica , vol.67 , pp. 335-347
    • Matsuyama, K.1
  • 29
    • 44049121950 scopus 로고
    • Border-collision bifurcations including period two to period three for piecewise smooth systems
    • Nusse, H. E. & Yorke, J. A. [1992]. Border-collision bifurcations including period two to period three for piecewise smooth systems. Physica D 57, 39-57
    • (1992) Physica D , vol.57 , pp. 39-57
    • Nusse, H.E.1    Yorke, J.A.2
  • 30
    • 4344639901 scopus 로고
    • Border-collision bifurcations for piecewise smooth one-dimensional maps
    • Nusse, H. E. & Yorke, J. A. [1995]. Border-collision bifurcations for piecewise smooth one-dimensional maps. Int. J. Bifurcation and Chaos 5, 189-207
    • (1995) Int. J. Bifurcation and Chaos , vol.5 , pp. 189-207
    • Nusse, H.E.1    Yorke, J.A.2
  • 31
    • 0038147436 scopus 로고    scopus 로고
    • The Hicksian floor-roofmodel for two regions linked by interregional trade
    • Sushko, I., Puu, T. & Gardini, L. [2003]. The Hicksian floor-roofmodel for two regions linked by interregional trade. Chaos Solit. Fract. 18, 593-612
    • (2003) Chaos Solit. Fract , vol.18 , pp. 593-612
    • Sushko, I.1    Puu, T.2    Gardini, L.3
  • 32
    • 33644920716 scopus 로고    scopus 로고
    • Bifurcation structure of parameter plane for a family of unimodal piecewise smooth maps: Border-collision bifurcation curves
    • Sushko, I., Agliari, A. & Gardini, L. [2006]. Bifurcation structure of parameter plane for a family of unimodal piecewise smooth maps: Border-collision bifurcation curves. Chaos Solit. Fract. 29, 756-770
    • (2006) Chaos Solit. Fract , vol.29 , pp. 756-770
    • Sushko, I.1    Agliari, A.2    Gardini, L.3
  • 33
    • 77956618749 scopus 로고    scopus 로고
    • Degenerate bifurcations and border collisions in piecewise smooth 1d and 2d maps
    • Sushko, I. & Gardini, L. [2010]. Degenerate bifurcations and border collisions in piecewise smooth 1D and 2D maps. Int. J. Bifurcation and Chaos 20, 2045-2070
    • (2010) Int. J. Bifurcation and Chaos , vol.20 , pp. 2045-2070
    • Sushko, I.1    Gardini, L.2
  • 34
    • 0040276500 scopus 로고
    • Transitions from periodic to strange attractors in constrained equations
    • eds. Camacho M. I., Pacifico, M. J. & Takens, F. Longman Scientific and Technical
    • Takens, F. [1987]. Transitions from periodic to strange attractors in constrained equations. in Dynamical Systems and Bifurcation Theory, eds. Camacho, M. I., Pacifico, M. J. & Takens, F. (Longman Scientific and Technical), pp. 399-421
    • (1987) Dynamical Systems and Bifurcation Theory , pp. 399-421
    • Takens, F.1
  • 35
    • 80052921551 scopus 로고    scopus 로고
    • Heterogeneous speculators and asset price dynamics: Further results from a one-dimensional discontinuous piecewise-linear model
    • Tramontana, F., Gardini, L. & Westerhoff, F. [2011]. Heterogeneous speculators and asset price dynamics: Further results from a one-dimensional discontinuous piecewise-linear model. Comput. Econ. 38, 329-347
    • (2011) Comput. Econ , vol.38 , pp. 329-347
    • Tramontana, F.1    Gardini, L.2    Westerhoff, F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.