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=13698 On uniqueness properties of solutions of the Toda and Kac--van Moerbeke hierarchies http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13698 Isaac Alvarez-Romero and Gerald Teschl Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13699 Periodic solutions for a superlinear fractional problem without the Ambrosetti-Rabinowitz condition http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13699 2s$, $T>0$, $m> 0$ and $f(x,u)$ is a continuous function, $T$-periodic in $x$ and satisfying a suitable growth assumption weaker than the Ambrosetti-Rabinowitz condition.
    The nonlocal operator $(-\Delta_{x}+m^{2})^{s}$ can be realized as the Dirichlet to Neumann map for a degenerate elliptic problem posed on the half-cylinder $\mathcal{S}_{T}=(0,T)^{N}\times (0,\infty)$. By using a variant of the Linking Theorem, we show that the extended problem in $\mathcal{S}_{T}$ admits a nontrivial solution $v(x,\xi)$ which is $T$-periodic in $x$. Moreover, by a procedure of limit as $m\rightarrow 0$, we prove the existence of a nontrivial solution to (1) with $m=0$. ]]>
Vincenzo Ambrosio Mon, 1 May 2017 20:00:00 GMT
http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13700 Uncountably many planar embeddings of unimodal inverse limit spaces http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13700 Ana Anušić, Henk Bruin and Jernej  Činč Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13701 Control systems on flag manifolds and their chain control sets http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13701 Victor Ayala, Adriano Da Silva and Luiz A. B. San Martin Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13702 Feedback boundary stabilization of 2D fluid-structure interaction systems http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13702 Mehdi Badra and Takéo Takahashi Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13703 Homogenization of trajectory attractors of 3D Navier--Stokes system with randomly oscillating force http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13703     Bibliography: 44 titles. ]]> Kuanysh A. Bekmaganbetov, Gregory A. Chechkin, Vladimir V. Chepyzhov and Andrey Yu. Goritsky Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13704 Stability of pyramidal traveling fronts in the degenerate monostable and combustion equations I http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13704 Zhen-Hui Bu and Zhi-Cheng Wang Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13705 Parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13705 Jorge Ferreira and Hermenegildo Borges de Oliveira Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13706 Existence of solutions for a class of abstract neutral differential equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13706 Hernán R. Henríquez, Claudio Cuevas, Juan C. Pozo and Herme Soto Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13707 Traveling waves and entire solutions for an epidemic model with asymmetric dispersal http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13707 Wan-Tong Li, Wen-Bing Xu and Li Zhang Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13708 Population dynamical behavior of a two-predator one-prey stochastic model with time delay http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13708 \rho_2>\rho_3$, which are represented by the coefficients of the model, closely related to the CDS of our model. We prove that if $\rho_1<1$, then $\lim\limits_{t\rightarrow +\infty}N_i(t)=0$ almost surely, $i=1,2,3;$ If $\rho_i>1>\rho_{i+1}$, $i=1,2$, then $\lim\limits_{t\rightarrow +\infty}N_j(t)=0$ almost surely, $j=i+1,...,3$, and the distributions of $(N_1(t),...,N_i(t))^\mathrm{T}$ converge to a unique ergodic invariant distribution (UEID); If $\rho_3>1$, then the distributions of $(N_1(t),N_2(t),N_3(t))^\mathrm{T}$ converge to a UEID. We also discuss the effects of stochastic noises on the CDS and introduce several numerical examples to illustrate the theoretical results. ]]> Meng Liu, Chuanzhi Bai and Yi Jin Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13709 Fourier spectral approximations to the dynamics of 3D fractional complex Ginzburg-Landau equation http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13709 Hong Lu, Shujuan Lü and Mingji Zhang Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13710 Parabolic arcs of the multicorns: Real-analyticity of Hausdorff dimension, and singularities of $Per_n(1)$ curves http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13710     We also look at the algebraic sets $\mathrm{Per}_n(1)$ in various families of polynomials, the nature of their singularities, and the `dynamical' behavior of these singular parameters. ]]> Sabyasachi Mukherjee Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13711 Positive solutions for perturbations of the Robin eigenvalue problem plus an indefinite potential http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13711 Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu and Dušan D. Repovš Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13712 Traveling fronts bifurcating from stable layers in the presence of conservation laws http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13712 Alin Pogan and Arnd Scheel Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13713 Existence and uniqueness of positive solutions for a class of logistic type elliptic equations in $\mathbb{R}^N$ involving fractional Laplacian http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13713 0$, $a$ and $b$ are positive smooth function in $\mathbb{R}^N$ satisfying \[ a(x)\rightarrow a^\infty>0\quad {\rm and}\quad b(x)\rightarrow b^\infty>0\quad{\rm as}\,\,|x|\rightarrow\infty. \] Our proof is based on a comparison principle and existence, uniqueness and asymptotic behaviors of various boundary blow-up solutions for a class of elliptic equations involving the fractional Laplacian. ]]> Alexander Quaas and Aliang Xia Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13714 Equivalent formulations for steady periodic water waves of fixed mean-depth with discontinuous vorticity http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13714 Silvia Sastre-Gomez Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13715 Multidimensional stability of time-periodic planar traveling fronts in bistable reaction-diffusion equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13715 Wei-Jie Sheng and Wan-Tong Li Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13716 Periodic solutions for a prescribed-energy problem of singular Hamiltonian systems http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13716 1$. ]]> Mitsuru Shibayama Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13717 Diagonal stationary points of the Bethe functional http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13717 Grzegorz Siudem and Grzegorz  Świątek Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13719 Topological pressure for the completely irregular set of Birkhoff averages http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13719 Xueting Tian Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13720 The existence of nontrivial solutions to Chern-Simons-Schrödinger systems http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13720 Youyan Wan and Jinggang Tan Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13721 Existence and upper semicontinuity of random attractors for non-autonomous stochastic strongly damped wave equation with multiplicative noise http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13721 Zhaojuan Wang and Shengfan Zhou Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13722 Monotonicity and uniqueness of wave profiles for a three components lattice dynamical system http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13722 Chin-Chin Wu Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13723 Global solutions to the Chemotaxis--Navier--Stokes equations with some large initial data http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13723 Xiaoping Zhai and Zhaoyang Yin Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13724 On the limit quasi-shadowing property http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13724 Fang Zhang and Yunhua Zhou Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13725 Persistence and stationary distribution of a stochastic predator-prey model under regime switching http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13725 Li Zu, Daqing Jiang and Donal O'Regan Mon, 1 May 2017 20:00:00 GMT