Discrete and Continuous Dynamical Systems - Series A: latest papers http://www.aimsciences.org/test_aims/journals/rss.jsp?journalID=1 Latest articles for selected journal http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13785 The Chowla and the Sarnak conjectures from ergodic theory point of view http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13785 El Houcein El Abdalaoui, Joanna Kułaga-Przymus, Mariusz Lemańczyk and Thierry de la Rue Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13786 Singular cw-expansive flows http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13786 Alfonso Artigue Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13787 Li-Yorke chaos for dendrite maps with zero topological entropy and $\omega$-limit sets http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13787    1. $f^{\alpha_k}(D_k) = D_k$ where $\alpha_k = n_1 n_2 \dots n_k$,
   2. $\cup_{k=0}^{n_j -1}f^{k \alpha_{j-1}}(D_{j}) \subset D_{j-1}$ for all $j\geq 2$,
   3. $L \subset \cup_{i=0}^{\alpha_k -1}f^{i}(D_k)$,
   4. $f(L \cap f^{i}(D_k)) = L\cap f^{i+1}(D_k)$ for any $ 0\leq i \leq \alpha_{k}-1$. In particular, $L \cap f^{i}(D_k) \neq \emptyset$,
   5. $f^{i}(D_k)\cap f^{j}(D_k)$ has empty interior for any $ 0\leq i\neq j<\alpha_k $.
    As a consequence, if $f$ has a Li-Yorke pair $(x,y)$ with $\omega_f(x)$ or $\omega_f(y)$ uncountable then $f$ is Li-Yorke chaotic. ]]>
Ghassen Askri Thu, 1 Jun 2017 08:00:00 GMT
http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13788 An approximation solvability method for nonlocal semilinear differential problems in Banach spaces http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13788 Irene Benedetti, Nguyen Van Loi and Valentina Taddei Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13789 Scattering of solutions to the nonlinear Schrödinger equations with regular potentials http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13789 Xing Cheng, Ze Li and Lifeng Zhao Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13790 A $p$-Laplacian supercritical Neumann problem http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13790 2$, we consider the quasilinear equation $-\Delta_p u+|u|^{p-2}u=g(u)$ in the unit ball $B$ of $\mathbb R^N$, with homogeneous Neumann boundary conditions. The assumptions on $g$ are very mild and allow the nonlinearity to be possibly supercritical in the sense of Sobolev embeddings. We prove the existence of a nonconstant, positive, radially nondecreasing solution via variational methods. In the case $g(u)=|u|^{q-2}u$, we detect the asymptotic behavior of these solutions as $q\to \infty$. ]]> Francesca Colasuonno and Benedetta Noris Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13791 Onofri inequalities and rigidity results http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13791 Jean Dolbeault, Maria J. Esteban and Gaspard Jankowiak Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13792 Hyperbolic billiards on polytopes with contracting reflection laws http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13792 Pedro Duarte, José Pedro Gaivão and Mohammad Soufi Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13793 On the decoupling of the improved Boussinesq equation into two uncoupled Camassa-Holm equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13793 H. A. Erbay, S. Erbay and A. Erkip Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13794 Dynamic rays of bounded-type transcendental self-maps of the punctured plane http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13794 Núria Fagella and David Martí-Pete Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13795 Minimality of $p$-adic rational maps with good reduction http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13795 Aihua Fan, Shilei Fan, Lingmin Liao and Yuefei Wang Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13796 Existence of the solution for the viscous bipolar quantum hydrodynamic model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13796 Boling Guo and Guangwu Wang Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13797 Sharp estimation for the solutions of delay differential and Halanay type inequalities http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13797 István Győri and László Horváth Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13798 Two-phase incompressible flows with variable density: An energetic variational approach http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13798 Jie Jiang, Yinghua Li and Chun Liu Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13799 Local well-posedness of the Camassa-Holm equation on the real line http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13799 Jae Min Lee and Stephen C. Preston Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13800 The Cauchy problem and blow-up phenomena for a new integrable two-component peakon system with cubic nonlinearities http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13800 Xiuting Li and Lei Zhang Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13801 On the positive vector solutions for nonlinear fractional Laplacian systems with linear coupling http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13801 Dengfeng Lü and Shuangjie Peng Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13802 Limit cycles for quadratic and cubic planar differential equations under polynomial perturbations of small degree http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13802 Ricardo M. Martins and Otávio M. L. Gomide Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13803 Generalized inhomogeneous Strichartz estimates http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13803 Robert Schippa Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13804 Topological conjugacy of linear systems on Lie groups http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13804 Adriano Da Silva, Alexandre J. Santana and Simão N. Stelmastchuk Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13805 Global existence and low Mach number limit to a 3D compressible micropolar fluids model in a bounded domain http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13805 Jingrui Su Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13806 Asymptotic stability of stationary solutions for magnetohydrodynamic equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13806 Zhong Tan and Leilei Tong Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13807 Global asymptotic stability of pushed traveling fronts for monostable delayed reaction-diffusion equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13807 exponentially stable. This also gives an affirmative answer to an open problem presented by Solar and Trofimchuk [14]. ]]> Shi-Liang Wu, Tong-Chang Niu and Cheng-Hsiung Hsu Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13808 Global exponential $\kappa-$dissipative semigroups and exponential attraction http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13808 Jin Zhang, Peter E. Kloeden, Meihua Yang and Chengkui Zhong Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13809 The Cauchy problem for a generalized Novikov equation http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13809 Rudong Zheng and Zhaoyang Yin Thu, 1 Jun 2017 08:00:00 GMT