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=14689 Models of the population playing the rock-paper-scissors game http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14689 rock-paper-scissors game. Asymptotic behaviour of trajectories of these systems is described, occurrence of the Neimark-Sacker bifurcation and nonexistence of time averages are proved. ]]> Włodzimierz Bąk, Tadeusz Nadzieja and Mateusz Wróbel Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14690 Self-similar solutions of fragmentation equations revisited http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14690 Weronika Biedrzycka and Marta Tyran-Kamińska Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14691 Application of Mountain Pass Theorem to superlinear equations with fractional Laplacian controlled by distributed parameters and boundary data http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14691 Dorota Bors Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14692 Dynamical system modeling fermionic limit http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14692 Dorota Bors and Robert Stańczy Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14693 NLS-like equations in bounded domains: Parabolic approximation procedure http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14693 Alexandre N. Carvalho and Jan W. Cholewa Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14694 Optimal control of normalized SIMR models with vaccination and treatment http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14694 Maria do Rosário de Pinho, Helmut Maurer and Hasnaa Zidani Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14695 Exact asymptotics of positive solutions to Dickman equation http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14695 Josef Diblík and Rigoberto Medina Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14696 Asymptotic properties of delayed matrix exponential functions via Lambert function http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14696 0$ is a delay) as different matrix polynomials, and is continuous at nodes $t=k\tau$. In the paper, the asymptotic properties of delayed matrix exponential are studied for $k\to\infty$ and it is, e.g., proved that the sequence of values of a delayed matrix exponential at nodes is approximately represented by a geometric progression. A constant matrix has been found such that its matrix exponential is the ``quotient'' factor that depends on the principal branch of the Lambert function. Applications of the results obtained are given as well. ]]> Josef Diblík and Zdeněk Svoboda Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14697 Sensitivity of combined chemo- and antiangiogenic therapy results in different models describing cancer growth http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14697 Marzena Dolbniak, Malgorzata Kardynska and Jaroslaw Smieja Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14698 Detecting features of epileptogenesis in EEG after TBI using unsupervised diffusion component analysis http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14698     Using scalp and depth EEG recordings for six patients, the goal of our analysis is to find a way to quantitatively detect features in the EEG that could potentially help predict seizure onset post trauma. Unsupervised Diffusion Component Analysis [5], a novel approach based on the diffusion mapping framework [4], reduces data dimensionality and provides pattern recognition that can be used to distinguish different states of the patient, such as seizures and non-seizure spikes in the EEG. This method is also adapted to the data to enable the extraction of the underlying brain activity. Previous work has shown that such techniques can be useful for seizure prediction [6].
    Some new results that demonstrate how this algorithm is used to detect spikes in the EEG data as well as other changes over time are shown. This nonlinear and local network approach has been used to determine if the early occurrences of specific electrical features of epileptogenesis, such as interictal epileptiform activity and morphologic changes in spikes and seizures, during the initial week after TBI predicts the development of PTE. ]]>
Dominique Duncan, Paul Vespa and Arthur W. Toga Mon, 1 Jan 2018 20:00:00 GMT
http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14699 A global inversion theorem for functions with singular points http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14699 Piotr Fijałkowski Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14700 Some remarks on the Gottman-Murray model of marital dissolution and time delays http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14700 Urszula Foryś Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14701 Free boundary problems arising in biology http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14701 Avner Friedman Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14702 Multiplicity results for discrete anisotropic equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14702 Marek Galewski, Shapour Heidarkhani and Amjad Salari Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14703 Periodic solutions for nonlinear nonmonotone evolution inclusions http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14703 Leszek Gasiński and Nikolaos S. Papageorgiou Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14704 Qualitative properties of solutions of higher order difference equations with deviating arguments http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14704 property A and B are established. ]]> Alina Gleska and Małgorzata Migda Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14705 Monotonic solutions of a higher-order neutral difference system http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14705 Robert Jankowski, Barbara Łupińska, Magdalena Nockowska-Rosiak and Ewa Schmeidel Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14706 Optimal control problem for a viscoelastic beam and its galerkin approximation http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14706 Andrzej Just and Zdzislaw Stempień Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14707 Solutions to resonant boundary value problem with boundary conditions involving Riemann-Stieltjes integrals http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14707 Igor Kossowski and Katarzyna Szymańska-Dębowska Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14708 Arzelà-Ascoli's theorem in uniform spaces http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14708 Mateusz Krukowski Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14709 The Krasnosel'skii formula for parabolic differential inclusions with state constraints http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14709 Wojciech Kryszewski, Dorota Gabor and Jakub Siemianowski Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14710 Optimal control applied to a generalized Michaelis-Menten model of CML therapy http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14710 Urszula Ledzewicz and Helen Moore Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14711 Optimal control of the discrete-time fractional-order Cucker--Smale model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14711 Agnieszka B. Malinowska and Tatiana Odzijewicz Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14712 Periodic solutions of a $2$-dimensional system of neutral difference equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14712 Małgorzata Migda, Ewa Schmeidel and Małgorzata Zdanowicz Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14713 Existence of uncountably many asymptotically constant solutions to discrete nonlinear three-dimensional system with $p$-Laplacian http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14713 Magdalena Nockowska-Rosiak, Piotr Hachuła and Ewa Schmeidel Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14714 Stability of stochastic semigroups and applications to Stein's neuronal model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14714 Katarzyna Pichór and Ryszard Rudnicki Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14715 Numerical treatment of contact problems with thermal effect http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14715 Anna Ochal and Michal Jureczka Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14716 The role of optimism and pessimism in the dynamics of emotional states http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14716 et al.(2010) in the context of romantic relationships. Liebovitch et al.(2008) used the same model to describe competition between communicating people or groups of people. Considered system of non-linear differential equations assumes that the emotional state of an actor at any time is affected by the state of each actor alone, rate of return to that state, second actor's emotional state and mutual sympathy. Using this model we describe the change of emotions of both actors as a result of a single meeting. We try to explain who wants to meet whom and why. Interpreting the results, we focus on the analysis of the impact of a person's attitude to life (optimism or pessimism) on establishing emotional relations. It occurs that our conclusions are not always obvious from the psychological point of view. Moreover, using this model, we are able to explain such strange behavior as so-called Stockholm syndrom. ]]> Monika Joanna Piotrowska, Joanna Górecka and Urszula Foryś Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14717 Treatment of glioma with virotherapy and TNF-$\alpha$ inhibitors: Analysis as a dynamical system http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14717 Elzbieta Ratajczyk, Urszula Ledzewicz, Maciej Leszczyński and Heinz Schättler Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14718 Optimal control of a delayed HIV model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14718 Filipe Rodrigues, Cristiana J. Silva, Delfim F. M. Torres and Helmut Maurer Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14719 Does assortative mating lead to a polymorphic population? A toy model justification http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14719 Ryszard Rudnicki and Radosław Wieczorek Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14720 Solution to a stochastic pursuit model using moment equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14720 Miroslava Růžičková, Irada Dzhalladova, Jitka Laitochová and Josef Diblík Mon, 1 Jan 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14721 On homoclinic solutions for a second order difference equation with $ p-$Laplacian http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14721 Robert Stegliński Mon, 1 Jan 2018 20:00:00 GMT