Multi-delay-induced bifurcation singularity in two-neuron neural models with multiple time delays

[1]  Xiuting Sun,et al.  Tunable broadband low-frequency band gap of multiple-layer metastructure induced by time-delayed vibration absorbers , 2022, Nonlinear Dynamics.

[2]  Junjie Wei,et al.  Dynamics in a Predator–Prey Model with Cooperative Hunting and Allee Effect , 2021, Mathematics.

[3]  Zixin Liu,et al.  Further Exploration on Bifurcation for Fractional-Order Bidirectional Associative Memory (BAM) Neural Networks concerning Time Delay ∗ , 2021, Complex..

[4]  Marian Wiercigroch,et al.  Safety estimation for a new model of regenerative and frictional cutting dynamics , 2021, International Journal of Mechanical Sciences.

[5]  L. Pei,et al.  Complicated oscillations and non-resonant double Hopf bifurcation of multiple feedback delayed control system of the gut microbiota , 2020 .

[6]  Jian Xu,et al.  An analytical method for studying double Hopf bifurcations induced by two delays in nonlinear differential systems , 2020, Science China Technological Sciences.

[7]  Zigen Song,et al.  Multiple bifurcations and coexistence in an inertial two-neuron system with multiple delays , 2020, Cognitive Neurodynamics.

[8]  Ying Guo,et al.  Bifurcation Analysis for Simplified Five-Neuron Bidirectional Associative Memory Neural Networks with Four Delays , 2019, Neural Processing Letters.

[9]  Junjie Wei,et al.  Two delays induce Hopf bifurcation and double Hopf bifurcation in a diffusive Leslie-Gower predator-prey system. , 2018, Chaos.

[10]  Jun Tang,et al.  A review for dynamics in neuron and neuronal network , 2017, Nonlinear Dynamics.

[11]  Jian Xu,et al.  Zero-Hopf bifurcation and multistability coexistence on a four-neuron network model with multiple delays , 2017 .

[12]  I. Jordanov,et al.  Numerical modeling of dynamics of a population system with time delay , 2017, 1701.08130.

[13]  Jinfeng Wang,et al.  The global stability and pattern formations of a predator-prey system with consuming resource , 2016, Appl. Math. Lett..

[14]  Zigen Song,et al.  Codimension-two bifurcation and multistability coexistence in an inertial two-neuron system with multiple delays , 2016 .

[15]  JUHONG GE,et al.  An Efficient Method for Studying fold-Hopf bifurcation in Delayed Neural Networks , 2011, Int. J. Bifurc. Chaos.

[16]  Jian Xu,et al.  A perturbation-incremental scheme for studying Hopf bifurcation in delayed differential systems , 2009 .

[17]  Yuan Yuan,et al.  Zero singularities of codimension two and three in delay differential equations , 2008 .

[18]  Yuan Yuan,et al.  Dynamics in three cells with multiple time delays , 2008 .

[19]  Yuan Yuan,et al.  Stability Switches and Hopf Bifurcations in a Pair of Delay-Coupled Oscillators , 2007, J. Nonlinear Sci..

[20]  H. Hu,et al.  Dynamics of Controlled Mechanical Systems with Delayed Feedback , 2002 .

[21]  Sue Ann Campbell,et al.  Frustration, Stability, and Delay-Induced Oscillations in a Neural Network Model , 1996, SIAM J. Appl. Math..

[22]  P. Parks.  A new proof of the Routh-Hurwitz stability criterion using the second method of Liapunov , 1962, Mathematical Proceedings of the Cambridge Philosophical Society.

[23]  Jinfeng Wang,et al.  Pattern formation in predator prey systems with consuming resource and prey-taxis , 2021, Appl. Math. Lett..

[24]  L. Carli,et al.  Interpolation Theory and Applications , 2007 .

[25]  B. Hassard,et al.  Theory and applications of Hopf bifurcation , 1981 .