Discrete and Continuous Dynamical Systems - Series B: latest papers
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Latest articles for selected journalhttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13846
Semi-Markovian capacities in production network models
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Simone Göttlich and Stephan KnappWed, 1 Nov 2017 08:00:00 GMThttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14013
Limit cycles in uniform isochronous centers of discontinuous differential systems with four zones
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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.
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Jackson Itikawa, Jaume Llibre, Ana Cristina Mereu and Regilene OliveiraWed, 1 Nov 2017 08:00:00 GMThttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14014
A two-phase flow model with delays
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Theodore Tachim MedjoWed, 1 Nov 2017 08:00:00 GMThttp://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
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Meng Zhao, Wan-Tong Li and Jia-Feng CaoWed, 1 Nov 2017 08:00:00 GMThttp://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
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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.
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Eugen StumpfWed, 1 Nov 2017 08:00:00 GMThttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14017
Computing stable hierarchies of fiber bundles
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Thorsten HülsWed, 1 Nov 2017 08:00:00 GMThttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14018
Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity
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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].
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Xinru CaoWed, 1 Nov 2017 08:00:00 GMThttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14019
On random cocycle attractors with autonomous attraction universes
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Hongyong Cui, Mirelson M. Freitas and José A. LangaWed, 1 Nov 2017 08:00:00 GMThttp://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
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Wenjie Ni and Mingxin WangWed, 1 Nov 2017 08:00:00 GMThttp://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
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Jian Su and Yinnian HeWed, 1 Nov 2017 08:00:00 GMThttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14348
Efficient spectral sparse grid approximations for solving multi-dimensional forward backward SDEs
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Yu Fu, Weidong Zhao and Tao ZhouWed, 1 Nov 2017 08:00:00 GMThttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14349
Numerical simulation of universal finite time behavior for parabolic IVP via geometric renormalization group
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Vincenzo Michael IsaiaWed, 1 Nov 2017 08:00:00 GMThttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14350
Dynamic behavior of a stochastic predator-prey system under regime switching
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Nguyen Huu Du, Nguyen Thanh Dieu and Tran Dinh TuongWed, 1 Nov 2017 08:00:00 GMThttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14351
On stochastic multi-group Lotka-Volterra ecosystems with regime switching
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Rui Wang, Xiaoyue Li and Denis S. MukamaWed, 1 Nov 2017 08:00:00 GMThttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14352
A preconditioned fast Hermite finite element method for space-fractional diffusion equations
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Meng Zhao, Aijie Cheng and Hong WangWed, 1 Nov 2017 08:00:00 GMThttp://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
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Qi Wang, Jingyue Yang and Lu ZhangWed, 1 Nov 2017 08:00:00 GMThttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14354
Expansivity implies existence of Hölder continuous Lyapunov function
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Łukasz Struski and Jacek TaborWed, 1 Nov 2017 08:00:00 GMThttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14355
Generalized Lyapunov-Razumikhin method for retarded differential inclusions: Applications to discontinuous neural networks
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Zuowei Cai, Jianhua Huang and Lihong HuangWed, 1 Nov 2017 08:00:00 GMThttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14356
Governing equations for probability densities of stochastic differential equations with discrete time delays
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Yayun Zheng and Xu SunWed, 1 Nov 2017 08:00:00 GMT