
Previous Article
Periodic tridiagonal systems modeling competitivecooperative ecological interactions
 DCDSB Home
 This Issue

Next Article
Critical spectrum and stability for population equations with diffusion in unbounded domains
Global attractivity of a circadian pacemaker model in a periodic environment
1.  Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada 
2.  Department of Mathematics & Statistics, McMaster University, Hamilton, Ontario Canada L8S 4K1, Canada 
[1] 
Tomás Caraballo, Gábor Kiss. Attractivity for neutral functional differential equations. Discrete & Continuous Dynamical Systems  B, 2013, 18 (7) : 17931804. doi: 10.3934/dcdsb.2013.18.1793 
[2] 
Nicola Guglielmi, Christian Lubich. Numerical periodic orbits of neutral delay differential equations. Discrete & Continuous Dynamical Systems  A, 2005, 13 (4) : 10571067. doi: 10.3934/dcds.2005.13.1057 
[3] 
Eduardo Liz, Gergely Röst. On the global attractor of delay differential equations with unimodal feedback. Discrete & Continuous Dynamical Systems  A, 2009, 24 (4) : 12151224. doi: 10.3934/dcds.2009.24.1215 
[4] 
Xianhua Huang. Almost periodic and periodic solutions of certain dissipative delay differential equations. Conference Publications, 1998, 1998 (Special) : 301313. doi: 10.3934/proc.1998.1998.301 
[5] 
Changrong Zhu, Bin Long. The periodic solutions bifurcated from a homoclinic solution for parabolic differential equations. Discrete & Continuous Dynamical Systems  B, 2016, 21 (10) : 37933808. doi: 10.3934/dcdsb.2016121 
[6] 
Hernán R. Henríquez, Claudio Cuevas, Alejandro Caicedo. Asymptotically periodic solutions of neutral partial differential equations with infinite delay. Communications on Pure & Applied Analysis, 2013, 12 (5) : 20312068. doi: 10.3934/cpaa.2013.12.2031 
[7] 
Miguel V. S. Frasson, Patricia H. Tacuri. Asymptotic behaviour of solutions to linear neutral delay differential equations with periodic coefficients. Communications on Pure & Applied Analysis, 2014, 13 (3) : 11051117. doi: 10.3934/cpaa.2014.13.1105 
[8] 
Zhiming Guo, Xiaomin Zhang. Multiplicity results for periodic solutions to a class of second order delay differential equations. Communications on Pure & Applied Analysis, 2010, 9 (6) : 15291542. doi: 10.3934/cpaa.2010.9.1529 
[9] 
Vera Ignatenko. Homoclinic and stable periodic solutions for differential delay equations from physiology. Discrete & Continuous Dynamical Systems  A, 2018, 38 (7) : 36373661. doi: 10.3934/dcds.2018157 
[10] 
Joan Gimeno, Àngel Jorba. Using automatic differentiation to compute periodic orbits of delay differential equations. Discrete & Continuous Dynamical Systems  B, 2017, 22 (11) : 00. doi: 10.3934/dcdsb.2020130 
[11] 
Songbai Guo, Wanbiao Ma. Global behavior of delay differential equations model of HIV infection with apoptosis. Discrete & Continuous Dynamical Systems  B, 2016, 21 (1) : 103119. doi: 10.3934/dcdsb.2016.21.103 
[12] 
Anatoli F. Ivanov, Musa A. Mammadov. Global asymptotic stability in a class of nonlinear differential delay equations. Conference Publications, 2011, 2011 (Special) : 727736. doi: 10.3934/proc.2011.2011.727 
[13] 
Sebastián BuedoFernández. Global attraction in a system of delay differential equations via compact and convex sets. Discrete & Continuous Dynamical Systems  B, 2020, 25 (8) : 31713181. doi: 10.3934/dcdsb.2020056 
[14] 
G. A. Enciso, E. D. Sontag. Global attractivity, I/O monotone smallgain theorems, and biological delay systems. Discrete & Continuous Dynamical Systems  A, 2006, 14 (3) : 549578. doi: 10.3934/dcds.2006.14.549 
[15] 
Nguyen Dinh Cong, Nguyen Thi Thuy Quynh. Coincidence of Lyapunov exponents and central exponents of linear Ito stochastic differential equations with nondegenerate stochastic term. Conference Publications, 2011, 2011 (Special) : 332342. doi: 10.3934/proc.2011.2011.332 
[16] 
A. Domoshnitsky. About maximum principles for one of the components of solution vector and stability for systems of linear delay differential equations. Conference Publications, 2011, 2011 (Special) : 373380. doi: 10.3934/proc.2011.2011.373 
[17] 
Jan Sieber. Finding periodic orbits in statedependent delay differential equations as roots of algebraic equations. Discrete & Continuous Dynamical Systems  A, 2012, 32 (8) : 26072651. doi: 10.3934/dcds.2012.32.2607 
[18] 
Anna Capietto, Walter Dambrosio. A topological degree approach to sublinear systems of second order differential equations. Discrete & Continuous Dynamical Systems  A, 2000, 6 (4) : 861874. doi: 10.3934/dcds.2000.6.861 
[19] 
Jehad O. Alzabut. A necessary and sufficient condition for the existence of periodic solutions of linear impulsive differential equations with distributed delay. Conference Publications, 2007, 2007 (Special) : 3543. doi: 10.3934/proc.2007.2007.35 
[20] 
Teresa Faria, José J. Oliveira. On stability for impulsive delay differential equations and application to a periodic LasotaWazewska model. Discrete & Continuous Dynamical Systems  B, 2016, 21 (8) : 24512472. doi: 10.3934/dcdsb.2016055 
2018 Impact Factor: 1.008
Tools
Metrics
Other articles
by authors
[Back to Top]