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On subharmonics bifurcation in equations with homogeneous nonlinearities
Oscillation death in systems of oscillators with transferable coupling and timedelay
1.  Department of Applied Mathematics, Shanghai Jiao Tong University, Shanghai, 200030, China, China 
2.  Mathematics/Computer Science Department, University of San Diego, San Diego, CA 92110, United States 
[1] 
Serge Nicaise, Cristina Pignotti, Julie Valein. Exponential stability of the wave equation with boundary timevarying delay. Discrete & Continuous Dynamical Systems  S, 2011, 4 (3) : 693722. doi: 10.3934/dcdss.2011.4.693 
[2] 
Xiang Xie, Honglei Xu, Xinming Cheng, Yilun Yu. Improved results on exponential stability of discretetime switched delay systems. Discrete & Continuous Dynamical Systems  B, 2017, 22 (1) : 199208. doi: 10.3934/dcdsb.2017010 
[3] 
Luis Barreira, Claudia Valls. Delay equations and nonuniform exponential stability. Discrete & Continuous Dynamical Systems  S, 2008, 1 (2) : 219223. doi: 10.3934/dcdss.2008.1.219 
[4] 
Yaru Xie, Genqi Xu. Exponential stability of 1d wave equation with the boundary time delay based on the interior control. Discrete & Continuous Dynamical Systems  S, 2017, 10 (3) : 557579. doi: 10.3934/dcdss.2017028 
[5] 
Sylvia Novo, Rafael Obaya, Ana M. Sanz. Exponential stability in nonautonomous delayed equations with applications to neural networks. Discrete & Continuous Dynamical Systems  A, 2007, 18 (2&3) : 517536. doi: 10.3934/dcds.2007.18.517 
[6] 
Rui Hu, Yuan Yuan. Stability, bifurcation analysis in a neural network model with delay and diffusion. Conference Publications, 2009, 2009 (Special) : 367376. doi: 10.3934/proc.2009.2009.367 
[7] 
István Györi, Ferenc Hartung. Exponential stability of a statedependent delay system. Discrete & Continuous Dynamical Systems  A, 2007, 18 (4) : 773791. doi: 10.3934/dcds.2007.18.773 
[8] 
Farah Abdallah, Denis Mercier, Serge Nicaise. Spectral analysis and exponential or polynomial stability of some indefinite sign damped problems. Evolution Equations & Control Theory, 2013, 2 (1) : 133. doi: 10.3934/eect.2013.2.1 
[9] 
Xiong Li. The stability of the equilibrium for a perturbed asymmetric oscillator. Communications on Pure & Applied Analysis, 2006, 5 (3) : 515528. doi: 10.3934/cpaa.2006.5.515 
[10] 
Xiong Li. The stability of the equilibrium for a perturbed asymmetric oscillator. Communications on Pure & Applied Analysis, 2007, 6 (1) : 6982. doi: 10.3934/cpaa.2007.6.69 
[11] 
Tomás Caraballo, José Real, T. Taniguchi. The exponential stability of neutral stochastic delay partial differential equations. Discrete & Continuous Dynamical Systems  A, 2007, 18 (2&3) : 295313. doi: 10.3934/dcds.2007.18.295 
[12] 
Ismael Maroto, Carmen Núñez, Rafael Obaya. Exponential stability for nonautonomous functional differential equations with statedependent delay. Discrete & Continuous Dynamical Systems  B, 2017, 22 (8) : 31673197. doi: 10.3934/dcdsb.2017169 
[13] 
Linfang Liu, Tomás Caraballo, Xianlong Fu. Exponential stability of an incompressible nonNewtonian fluid with delay. Discrete & Continuous Dynamical Systems  B, 2018, 23 (10) : 42854303. doi: 10.3934/dcdsb.2018138 
[14] 
Cecilia Cavaterra, M. Grasselli. Robust exponential attractors for population dynamics models with infinite time delay. Discrete & Continuous Dynamical Systems  B, 2006, 6 (5) : 10511076. doi: 10.3934/dcdsb.2006.6.1051 
[15] 
Takeshi Taniguchi. The exponential behavior of NavierStokes equations with time delay external force. Discrete & Continuous Dynamical Systems  A, 2005, 12 (5) : 9971018. doi: 10.3934/dcds.2005.12.997 
[16] 
Ben Niu, Weihua Jiang. Dynamics of a limit cycle oscillator with extended delay feedback. Discrete & Continuous Dynamical Systems  B, 2013, 18 (5) : 14391458. doi: 10.3934/dcdsb.2013.18.1439 
[17] 
Yanbin Tang, Ming Wang. A remark on exponential stability of timedelayed Burgers equation. Discrete & Continuous Dynamical Systems  B, 2009, 12 (1) : 219225. doi: 10.3934/dcdsb.2009.12.219 
[18] 
Jacek Banasiak, Marcin Moszyński. Dynamics of birthanddeath processes with proliferation  stability and chaos. Discrete & Continuous Dynamical Systems  A, 2011, 29 (1) : 6779. doi: 10.3934/dcds.2011.29.67 
[19] 
Jianfeng Feng, Mariya Shcherbina, Brunello Tirozzi. Stability of the dynamics of an asymmetric neural network. Communications on Pure & Applied Analysis, 2009, 8 (2) : 655671. doi: 10.3934/cpaa.2009.8.655 
[20] 
Junya Nishiguchi. On parameter dependence of exponential stability of equilibrium solutions in differential equations with a single constant delay. Discrete & Continuous Dynamical Systems  A, 2016, 36 (10) : 56575679. doi: 10.3934/dcds.2016048 
2018 Impact Factor: 1.143
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