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Discrete & Continuous Dynamical Systems - A

December 2014 , Volume 34 , Issue 12

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Structural stability for the splash singularities of the water waves problem
Angel Castro, Diego Córdoba, Charles Fefferman, Francisco Gancedo and Javier Gómez-Serrano
2014, 34(12): 4997-5043 doi: 10.3934/dcds.2014.34.4997 +[Abstract](1008) +[PDF](603.0KB)
Remarks on geometric properties of SQG sharp fronts and $\alpha$-patches
Angel Castro, Diego Córdoba, Javier Gómez-Serrano and Alberto Martín Zamora
2014, 34(12): 5045-5059 doi: 10.3934/dcds.2014.34.5045 +[Abstract](817) +[PDF](639.9KB)
A transformation of Markov jump processes and applications in genetic study
Xian Chen and Zhi-Ming Ma
2014, 34(12): 5061-5084 doi: 10.3934/dcds.2014.34.5061 +[Abstract](1135) +[PDF](449.3KB)
Mathematical theory of solids: From quantum mechanics to continuum models
Weinan E and Jianfeng Lu
2014, 34(12): 5085-5097 doi: 10.3934/dcds.2014.34.5085 +[Abstract](1054) +[PDF](384.6KB)
Nonlinear Sturm global attractors: Unstable manifold decompositions as regular CW-complexes
Bernold Fiedler and Carlos Rocha
2014, 34(12): 5099-5122 doi: 10.3934/dcds.2014.34.5099 +[Abstract](866) +[PDF](572.3KB)
Modelling collective cell behaviour
Deborah C. Markham, Ruth E. Baker and Philip K. Maini
2014, 34(12): 5123-5133 doi: 10.3934/dcds.2014.34.5123 +[Abstract](1294) +[PDF](688.6KB)
Measuring the total amount of chaos in some Hamiltonian systems
Carles Simó
2014, 34(12): 5135-5164 doi: 10.3934/dcds.2014.34.5135 +[Abstract](1006) +[PDF](10457.4KB)
On a Keller-Segel system with logarithmic sensitivity and non-diffusive chemical
Jaewook Ahn and Kyungkeun Kang
2014, 34(12): 5165-5179 doi: 10.3934/dcds.2014.34.5165 +[Abstract](1245) +[PDF](441.4KB)
Multi-hump solutions of some singularly-perturbed equations of KdV type
J. W. Choi, D. S. Lee, S. H. Oh, S. M. Sun and S. I. Whang
2014, 34(12): 5181-5209 doi: 10.3934/dcds.2014.34.5181 +[Abstract](800) +[PDF](565.1KB)
Cocycle rigidity and splitting for some discrete parabolic actions
Danijela Damjanović and James Tanis
2014, 34(12): 5211-5227 doi: 10.3934/dcds.2014.34.5211 +[Abstract](785) +[PDF](475.7KB)
Some remarks on symmetric periodic orbits in the restricted three-body problem
Jungsoo Kang
2014, 34(12): 5229-5245 doi: 10.3934/dcds.2014.34.5229 +[Abstract](968) +[PDF](1264.3KB)
Stochastic adding machine and $2$-dimensional Julia sets
Ali Messaoudi and Rafael Asmat Uceda
2014, 34(12): 5247-5269 doi: 10.3934/dcds.2014.34.5247 +[Abstract](985) +[PDF](787.9KB)
The existence and stability of nontrivial steady states for S-K-T competition model with cross diffusion
Wei-Ming Ni, Yaping Wu and Qian Xu
2014, 34(12): 5271-5298 doi: 10.3934/dcds.2014.34.5271 +[Abstract](1078) +[PDF](534.8KB)
Segregated peak solutions of coupled Schrödinger systems with Neumann boundary conditions
Zhongwei Tang
2014, 34(12): 5299-5323 doi: 10.3934/dcds.2014.34.5299 +[Abstract](825) +[PDF](493.1KB)
Optimal parameter-dependent bounds for Kuramoto-Sivashinsky-type equations
Ralf W. Wittenberg
2014, 34(12): 5325-5357 doi: 10.3934/dcds.2014.34.5325 +[Abstract](922) +[PDF](1331.0KB)
Realization of tangent perturbations in discrete and continuous time conservative systems
Hassan Najafi Alishah and João Lopes Dias
2014, 34(12): 5359-5374 doi: 10.3934/dcds.2014.34.5359 +[Abstract](831) +[PDF](595.4KB)

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