DOI: 10.1016/j.physd.2007.06.010. Existence and stability of limit cycles in a macroscopic neuronal population model

Existence and stability of limit cycles in a macroscopic neuronal population model

10.1016/j.physd.2007.06.010

Crossref journal-article

Elsevier BV

Physica D: Nonlinear Phenomena (78)

Bibliography

Rodrigues, S., GonÃ§alves, J., & Terry, J. R. (2007). Existence and stability of limit cycles in a macroscopic neuronal population model. Physica D: Nonlinear Phenomena, 233(1), 39â65.

Authors 3

Serafim Rodrigues (first)
Jorge Gonçalves (additional)
John R. Terry (additional)

References 36 Referenced 11

{'year': '1975', 'series-title': 'Mass Action in the Nervous System', 'author': 'Freeman', 'key': '10.1016/j.physd.2007.06.010_b1'} / Mass Action in the Nervous System by Freeman (1975)
10.1142/S0218127401002870 / Int. J. Bifur. Chaos by Kozma (2001)
10.1016/S0006-3495(72)86068-5 / Biophys. J. by Wilson (1972)
10.1109/5.939813 / Proc. IEEE by Principe (2001)
10.1016/0893-6080(95)00093-3 / Neural Netw. by Chang (1996)
{'issue': '3', 'key': '10.1016/j.physd.2007.06.010_b6', 'volume': '16', 'author': 'Kozma', 'year': '2005', 'journal-title': 'IEEE Trans. Neural Netw.'} / IEEE Trans. Neural Netw. by Kozma (2005)
10.1016/j.physleta.2006.07.050 / Phys. Lett. A by Ilin (2006)
10.1109/TNN.2004.832815 / IEEE Trans. Neural Netw. by Xu (2004)
{'year': '2001', 'series-title': 'Thalamocortical Assemblies', 'author': 'Destexhe', 'key': '10.1016/j.physd.2007.06.010_b9_1'} / Thalamocortical Assemblies by Destexhe (2001)
10.1152/physrev.00012.2003 / Physiol. Rev. by Destexhe (2003)
10.1007/BF00270757 / Kybernetik by Lopes da Silva (1974)
10.1093/cercor/bhj072 / Cerebral Cortex by Breakspear (2006)
10.1016/j.physleta.2006.03.003 / Phys. Lett. A by Rodrigues (2006)
{'year': '1997', 'series-title': 'Pharmacotherapy', 'author': 'Garnett', 'key': '10.1016/j.physd.2007.06.010_b13'} / Pharmacotherapy by Garnett (1997)
S. Rodrigues, A.V. Chizhov, J.R. Terry, Mappings between a macroscopic neural mass model and a reduced conductancye-based model, Phys. Rev. E (submitted for publication). Preprint available at: http://www.enm.bris.ac.uk/staff/jrt/publications.html
{'year': '2002', 'series-title': 'Simulating, Analyzing, and Animating Dynamical Systems. A Guide to XPPAUT', 'author': 'Ermentrout', 'key': '10.1016/j.physd.2007.06.010_b15'} / Simulating, Analyzing, and Animating Dynamical Systems. A Guide to XPPAUT by Ermentrout (2002)
10.1109/TAC.2003.820061 / IEEE Trans. Automatic Control by Goncalves (2003)
10.1103/PhysRevE.56.826 / Phys. Rev. E by Robinson (1997)
10.1103/PhysRevE.58.3557 / Phys. Rev. E by Robinson (1998)
10.1103/PhysRevE.59.3320 / Phys. Rev. E by Rennie (1999)
10.1006/jtbi.2000.2040 / J. Theoret. Biol. by Rennie (2000)
10.1103/PhysRevE.65.041924 / Phys. Rev. E by Robinson (2002)
10.1007/BF00270757 / Kybernetik by Lopes da Silva (1974)
10.1103/PhysRevLett.77.960 / Phys. Rev. Lett. by Jirsa (1996)
{'year': '1998', 'series-title': 'Elements of Applied Bifurcation Theory', 'author': 'Kuznetsov', 'key': '10.1016/j.physd.2007.06.010_b21'} / Elements of Applied Bifurcation Theory by Kuznetsov (1998)
{'year': '1959', 'series-title': 'Application of the Theory of Matrices', 'author': 'Gantmacher', 'key': '10.1016/j.physd.2007.06.010_b22'} / Application of the Theory of Matrices by Gantmacher (1959)
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{'year': '1981', 'series-title': 'Dynamics of Feedback Systems', 'author': 'Mees', 'key': '10.1016/j.physd.2007.06.010_b24'} / Dynamics of Feedback Systems by Mees (1981)
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{'key': '10.1016/j.physd.2007.06.010_b27', 'series-title': 'Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields', 'volume': 'vol. 41', 'author': 'Guckenheimer', 'year': '1983'} / Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields by Guckenheimer (1983)
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{'year': '1998', 'series-title': 'Quadratic Stabilization and Control of Piecewise Linear Systems', 'author': 'Hassibi', 'key': '10.1016/j.physd.2007.06.010_b30'} / Quadratic Stabilization and Control of Piecewise Linear Systems by Hassibi (1998)
{'key': '10.1016/j.physd.2007.06.010_b31', 'series-title': 'Linear Matrix Inequalities in System and Control Theory', 'isbn-type': 'print', 'author': 'Boyd', 'year': '1994', 'ISBN': 'http://id.crossref.org/isbn/089871334X'} / Linear Matrix Inequalities in System and Control Theory by Boyd (1994)
U. Jönsson, C. Kao, A. Megretski, A. Rantzer, The latest version of the code and manual can be found in http://www.ee.unimelb.edu.au/staff/cykao/

Dates

Type	When
Created	18 years, 2 months ago (June 22, 2007, 3:22 a.m.)
Deposited	6 years, 4 months ago (April 29, 2019, 1:01 a.m.)
Indexed	11 months, 2 weeks ago (Sept. 16, 2024, 12:25 p.m.)
Issued	18 years ago (Sept. 1, 2007)
Published	18 years ago (Sept. 1, 2007)
Published Print	18 years ago (Sept. 1, 2007)

Funders 0

None

BibTeX

@article{Rodrigues_2007, title={Existence and stability of limit cycles in a macroscopic neuronal population model}, volume={233}, ISSN={0167-2789}, url={http://dx.doi.org/10.1016/j.physd.2007.06.010}, DOI={10.1016/j.physd.2007.06.010}, number={1}, journal={Physica D: Nonlinear Phenomena}, publisher={Elsevier BV}, author={Rodrigues, Serafim and Gonçalves, Jorge and Terry, John R.}, year={2007}, month=sep, pages={39–65} }

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