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On sharp interface limits of AllenCahn/CahnHilliard variational inequalities
Counting uniformly attracting solutions of nonautonomous differential equations
1.  Department of Mathematics and Statistics, University of Canterbury, Christchurch 
[1] 
Zhengxin Zhou. On the Poincaré mapping and periodic solutions of nonautonomous differential systems. Communications on Pure & Applied Analysis, 2007, 6 (2) : 541547. doi: 10.3934/cpaa.2007.6.541 
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Arne Ogrowsky, Björn Schmalfuss. Unstable invariant manifolds for a nonautonomous differential equation with nonautonomous unbounded delay. Discrete & Continuous Dynamical Systems  B, 2013, 18 (6) : 16631681. doi: 10.3934/dcdsb.2013.18.1663 
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Ismael Maroto, Carmen NÚÑez, Rafael Obaya. Dynamical properties of nonautonomous functional differential equations with statedependent delay. Discrete & Continuous Dynamical Systems  A, 2017, 37 (7) : 39393961. doi: 10.3934/dcds.2017167 
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Sebastián Ferrer, Francisco Crespo. Alternative anglebased approach to the $\mathcal{KS}$Map. An interpretation through symmetry and reduction. Journal of Geometric Mechanics, 2018, 10 (3) : 359372. doi: 10.3934/jgm.2018013 
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WanTong Li, BinGuo Wang. Attractor minimal sets for nonautonomous typeK competitive and semiconvex delay differential equations with applications. Discrete & Continuous Dynamical Systems  A, 2009, 24 (2) : 589611. doi: 10.3934/dcds.2009.24.589 
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Ahmed Y. Abdallah. Upper semicontinuity of the attractor for a second order lattice dynamical system. Discrete & Continuous Dynamical Systems  B, 2005, 5 (4) : 899916. doi: 10.3934/dcdsb.2005.5.899 
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Yejuan Wang, Chengkui Zhong, Shengfan Zhou. Pullback attractors of nonautonomous dynamical systems. Discrete & Continuous Dynamical Systems  A, 2006, 16 (3) : 587614. doi: 10.3934/dcds.2006.16.587 
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Bernd Aulbach, Martin Rasmussen, Stefan Siegmund. Approximation of attractors of nonautonomous dynamical systems. Discrete & Continuous Dynamical Systems  B, 2005, 5 (2) : 215238. doi: 10.3934/dcdsb.2005.5.215 
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Chunqiu Li, Desheng Li, Xuewei Ju. On the forward dynamical behavior of nonautonomous systems. Discrete & Continuous Dynamical Systems  B, 2020, 25 (1) : 473487. doi: 10.3934/dcdsb.2019190 
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Wen Tan. The regularity of pullback attractor for a nonautonomous pLaplacian equation with dynamical boundary condition. Discrete & Continuous Dynamical Systems  B, 2019, 24 (2) : 529546. doi: 10.3934/dcdsb.2018194 
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M. A. M. Alwash. Polynomial differential equations with small coefficients. Discrete & Continuous Dynamical Systems  A, 2009, 25 (4) : 11291141. doi: 10.3934/dcds.2009.25.1129 
[12] 
Victor Kozyakin. Polynomial reformulation of the Kuo criteria for v sufficiency of mapgerms. Discrete & Continuous Dynamical Systems  B, 2010, 14 (2) : 587602. doi: 10.3934/dcdsb.2010.14.587 
[13] 
Björn Schmalfuss. Attractors for nonautonomous and random dynamical systems perturbed by impulses. Discrete & Continuous Dynamical Systems  A, 2003, 9 (3) : 727744. doi: 10.3934/dcds.2003.9.727 
[14] 
David Cheban. Global attractors of nonautonomous quasihomogeneous dynamical systems. Conference Publications, 2001, 2001 (Special) : 96101. doi: 10.3934/proc.2001.2001.96 
[15] 
Hongyong Cui, Peter E. Kloeden, Meihua Yang. Forward omega limit sets of nonautonomous dynamical systems. Discrete & Continuous Dynamical Systems  S, 2020, 13 (4) : 11031114. doi: 10.3934/dcdss.2020065 
[16] 
Armengol Gasull, Víctor Mañosa. Periodic orbits of discrete and continuous dynamical systems via PoincaréMiranda theorem. Discrete & Continuous Dynamical Systems  B, 2020, 25 (2) : 651670. doi: 10.3934/dcdsb.2019259 
[17] 
Steven M. Pederson. Nonturning Poincaré map and homoclinic tangencies in interval maps with nonconstant topological entropy. Conference Publications, 2001, 2001 (Special) : 295302. doi: 10.3934/proc.2001.2001.295 
[18] 
Valery A. Gaiko. The geometry of limit cycle bifurcations in polynomial dynamical systems. Conference Publications, 2011, 2011 (Special) : 447456. doi: 10.3934/proc.2011.2011.447 
[19] 
Elena Goncharova, Maxim Staritsyn. Optimal control of dynamical systems with polynomial impulses. Discrete & Continuous Dynamical Systems  A, 2015, 35 (9) : 43674384. doi: 10.3934/dcds.2015.35.4367 
[20] 
Lars Grüne, Peter E. Kloeden, Stefan Siegmund, Fabian R. Wirth. Lyapunov's second method for nonautonomous differential equations. Discrete & Continuous Dynamical Systems  A, 2007, 18 (2&3) : 375403. doi: 10.3934/dcds.2007.18.375 
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