Discrete and Continuous Dynamical Systems - Series B: latest papers http://www.aimsciences.org/test_aims/journals/rss.jsp?journalID=2 Latest articles for selected journal http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13846 Semi-Markovian capacities in production network models http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13846 Simone Göttlich and Stephan Knapp Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14013 Limit cycles in uniform isochronous centers of discontinuous differential systems with four zones http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14013     Using averaging theory of first order the maximum number of limit cycles that we can obtain is twice the maximum number of limit cycles obtained in a previous work for discontinuous quadratic differential systems perturbing the same uniform isochronous quadratic center at origin perturbed with two zones separately by a straight line, and 5 more limit cycles than those achieved in a prior result for discontinuous cubic differential systems with the same uniform isochronous cubic center at the origin perturbed with two zones separately by a straight line. Comparing our results with those obtained perturbing the mentioned centers by the continuous quadratic and cubic differential systems we obtain 8 and 9 more limit cycles respectively. ]]> Jackson Itikawa, Jaume Llibre, Ana Cristina Mereu and Regilene Oliveira Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14014 A two-phase flow model with delays http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14014 Theodore Tachim Medjo Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14015 A prey-predator model with a free boundary and sign-changing coefficient in time-periodic environment http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14015 Meng Zhao, Wan-Tong Li and Jia-Feng Cao Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14016 On a delay differential equation arising from a car-following model: Wavefront solutions with constant-speed and their stability http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14016 optimal velocity function of the traffic model involved. We analyze the existence and local stability properties of solutions $z(t)=c\,t+d$, $t\in\mathbb{R}$, with $c,d\in\mathbb{R}$. In the case $c\not=0$, such a solution of the differential equation forms a wavefront solution of the car-following model where all cars are uniformly spaced on the line and move with the same constant velocity. In particular, it is shown that all but one of these wavefront solutions are located on two branches parametrized by $h$. Furthermore, we prove that along the one branch all solutions are unstable due to the principle of linearized instability, whereas along the other branch some of the solutions may be stable. The last point is done by carrying out a center manifold reduction as the linearization does always have a zero eigenvalue. Finally, we provide some numerical examples demonstrating the obtained analytical results. ]]> Eugen Stumpf Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14017 Computing stable hierarchies of fiber bundles http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14017 Thorsten Hüls Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14018 Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14018 0$, $\chi>0$ and $\tau>0$. It is shown that if the ratio $\frac{\chi}{\mu}$ is sufficiently small, then any global classical solution $(u,v)$ converges to the spatially homogenous steady state $(\frac{\kappa_+}{\mu},\frac{\kappa_+}{\mu})$ in the large time limit. Here we use an approach based on maximal Sobolev regularity and thus remove the restrictions $\tau=1$ and the convexity of $\Omega$ required in [17]. ]]> Xinru Cao Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14019 On random cocycle attractors with autonomous attraction universes http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14019 Hongyong Cui, Mirelson M. Freitas and José A. Langa Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14346 Dynamical properties of a Leslie-Gower prey-predator model with strong Allee effect in prey http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14346 Wenjie Ni and Mingxin Wang Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14347 The almost unconditional convergence of the Euler implicit/explicit scheme for the three dimensional nonstationary Navier-Stokes equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14347 Jian Su and Yinnian He Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14348 Efficient spectral sparse grid approximations for solving multi-dimensional forward backward SDEs http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14348 Yu Fu, Weidong Zhao and Tao Zhou Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14349 Numerical simulation of universal finite time behavior for parabolic IVP via geometric renormalization group http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14349 Vincenzo Michael Isaia Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14350 Dynamic behavior of a stochastic predator-prey system under regime switching http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14350 Nguyen Huu Du, Nguyen Thanh Dieu and Tran Dinh Tuong Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14351 On stochastic multi-group Lotka-Volterra ecosystems with regime switching http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14351 Rui Wang, Xiaoyue Li and Denis S. Mukama Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14352 A preconditioned fast Hermite finite element method for space-fractional diffusion equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14352 Meng Zhao, Aijie Cheng and Hong Wang Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14353 Time--periodic and stable patterns of a two--competing--species Keller--Segel chemotaxis model: Effect of cellular growth http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14353 Qi Wang, Jingyue Yang and Lu Zhang Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14354 Expansivity implies existence of Hölder continuous Lyapunov function http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14354 Łukasz Struski and Jacek Tabor Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14355 Generalized Lyapunov-Razumikhin method for retarded differential inclusions: Applications to discontinuous neural networks http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14355 Zuowei Cai, Jianhua Huang and Lihong Huang Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14356 Governing equations for probability densities of stochastic differential equations with discrete time delays http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14356 Yayun Zheng and Xu Sun Wed, 1 Nov 2017 08:00:00 GMT