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Physica D: Nonlinear Phenomena, ISSN 0167-2789, 04/2019, Volume 391, pp. 52 - 65
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 08/2018, Volume 28, Issue 9, p. 1850115
In this paper, we present a complete study of the well-known Bogdanov–Takens bifurcation and give a rigorous proof for the uniqueness of limit cycles. 
limit cycle | Bogdanov-Takens bifurcation | NUMBER | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | EQUATIONS | SYSTEMS | VECTOR-FIELDS | HOPF
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 05/2016, Volume 26, Issue 5, p. 1650090
Electrical bursting is an activity which is universal in excitable cells such as neurons and various endocrine cells, and it encodes rich physiological... 
fast-slow dynamics analysis | spike adding | Bogdanov-Takens bifurcation | bursting, pancreatic β -cell | interspike intervals (ISIs) | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | DYNAMICS | bursting, pancreatic beta-cell | OSCILLATIONS | Pancreatic beta cells | Analysis | Models
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 11/2018, Volume 94, Issue 3, pp. 1639 - 1656
Journal Article
Neurocomputing, ISSN 0925-2312, 07/2012, Volume 89, pp. 193 - 201
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 08/2018, Volume 464, Issue 1, pp. 201 - 230
The predator–prey/consumer–resource interaction is the most fundamental and important process in population dynamics. Many species, such as monocarpic plants... 
Neimark–Sacker bifurcation | Fold bifurcation | Discrete predator–prey model | Transcritical bifurcation | Bogdanov–Takens bifurcation | Flip bifurcations | SYSTEM | MATHEMATICS | MATHEMATICS, APPLIED | Bogdanov-Takens bifurcation | Neimark-Sacker bifurcation | Discrete predator-prey model | POPULATIONS
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 10/2017, Volume 27, Issue 11, p. 1750179
In this paper, we study a predator–prey system that the prey population gathers in herds to defend its predator and both are harvested by constant rate. The... 
Bogdanov-Takens bifurcation | constant harvesting | saddle-node bifurcation | Hopf bifurcation | Predator-prey system | stability | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | DYNAMICS | MODEL | Defense industry | Analysis
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 12/2016, Volume 67, Issue 6, pp. 1 - 29
Journal Article
International journal of bifurcation and chaos in applied sciences and engineering, ISSN 0218-1274, 04/2014, Volume 24, Issue 4, pp. 1450057 - 1-1450057-12
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 02/2016, Volume 26, Issue 2, p. 1650034
It was shown in [Li & Xiao, 2007] that in a predator–prey model of Leslie type with simplified Holling type IV functional response some complex bifurcations... 
Predator-prey model of Leslie type | degenerate focus type Bogdanov-Takens bifurcation of codimension 3 | simplified Holling type IV functional response | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MODEL | MULTIDISCIPLINARY SCIENCES
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 2/2013, Volume 71, Issue 3, pp. 583 - 595
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 7/2017, Volume 89, Issue 2, pp. 1187 - 1194
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 12/2015, Volume 432, Issue 2, pp. 1119 - 1138
The bifurcation and dynamics of SIS models with nonlinear effective contact rate can be very complicated. We study an SIS model with nonlinear contact rate... 
Hopf bifurcation | Disease ecology | Bogdanov–Takens bifurcation | Bogdanov-Takens bifurcation | MATHEMATICS | MATHEMATICS, APPLIED | BEHAVIOR | EPIDEMIC MODEL
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 06/2015, Volume 25, Issue 6, pp. 1550082 - 1-1550082-11
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 01/2017, Volume 27, Issue 1, p. 1750010
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 01/2017, Volume 27, Issue 1, p. 1750002
This paper is aimed at describing the whole set of necessary and sufficient conditions for the emergence of multiple equilibria and global indeterminacy in the... 
Bogdanov-Takens singularity | endogenous growth | Global indeterminacy | poverty trap | learning by doing model | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | INCREASING RETURNS | MULTIDISCIPLINARY SCIENCES | TRANSITIONAL DYNAMICS | INDETERMINACY | ENDOGENOUS GROWTH-MODEL
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 09/2014, Volume 243, pp. 283 - 297
Journal Article
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