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Types of change of stability and corresponding types of bifurcations
1. | Universidad Autónoma Metropolitana, Unidad Iztapalapa, Av. Michoacán y la Purísima, Apdo. Postal 55-534, Mexico 09340, D.F., Mexico, Mexico |
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Anatoly Neishtadt. On stability loss delay for dynamical bifurcations. Discrete and Continuous Dynamical Systems - S, 2009, 2 (4) : 897-909. doi: 10.3934/dcdss.2009.2.897 |
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Mary Ballyk, Ross Staffeldt, Ibrahim Jawarneh. A nutrient-prey-predator model: Stability and bifurcations. Discrete and Continuous Dynamical Systems - S, 2020, 13 (11) : 2975-3004. doi: 10.3934/dcdss.2020192 |
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Xiang-Ping Yan, Wan-Tong Li. Stability and Hopf bifurcations for a delayed diffusion system in population dynamics. Discrete and Continuous Dynamical Systems - B, 2012, 17 (1) : 367-399. doi: 10.3934/dcdsb.2012.17.367 |
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Tian Ma, Shouhong Wang. Tropical atmospheric circulations: Dynamic stability and transitions. Discrete and Continuous Dynamical Systems, 2010, 26 (4) : 1399-1417. doi: 10.3934/dcds.2010.26.1399 |
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Alexey G. Mazko. Positivity, robust stability and comparison of dynamic systems. Conference Publications, 2011, 2011 (Special) : 1042-1051. doi: 10.3934/proc.2011.2011.1042 |
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Sung Kyu Choi, Namjip Koo. Stability of linear dynamic equations on time scales. Conference Publications, 2009, 2009 (Special) : 161-170. doi: 10.3934/proc.2009.2009.161 |
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K Najarian. On stochastic stability of dynamic neural models in presence of noise. Conference Publications, 2003, 2003 (Special) : 656-663. doi: 10.3934/proc.2003.2003.656 |
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Yan Zhang, Wanbiao Ma, Hai Yan, Yasuhiro Takeuchi. A dynamic model describing heterotrophic culture of chorella and its stability analysis. Mathematical Biosciences & Engineering, 2011, 8 (4) : 1117-1133. doi: 10.3934/mbe.2011.8.1117 |
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Lan Jia, Liang Li. Stability and dynamic transition of vegetation model for flat arid terrains. Discrete and Continuous Dynamical Systems - B, 2022, 27 (6) : 3375-3398. doi: 10.3934/dcdsb.2021189 |
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Hayato Chiba, Georgi S. Medvedev. The mean field analysis of the kuramoto model on graphs Ⅱ. asymptotic stability of the incoherent state, center manifold reduction, and bifurcations. Discrete and Continuous Dynamical Systems, 2019, 39 (7) : 3897-3921. doi: 10.3934/dcds.2019157 |
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Jianhe Shen, Shuhui Chen, Kechang Lin. Study on the stability and bifurcations of limit cycles in higher-dimensional nonlinear autonomous systems. Discrete and Continuous Dynamical Systems - B, 2011, 15 (1) : 231-254. doi: 10.3934/dcdsb.2011.15.231 |
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