Results 61 to 70 of about 4,601 (266)
Bifurcations and Invariant Sets in a Class of Two-Dimensional Endomorphisms
International Journal of Analysis and Applications, 2019 Several endomorphisms of the plane have been constructed by simple maps. We study the dynamics occuring in one of them, which is rich in global bifurcations.
Djellit Ilham +2 more
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Regularity of Global Attractor for the Reaction‐Diffusion Equation [PDF]
Abstract and Applied Analysis, 2012 By using an iteration procedure, regularity estimates for the linear semigroups, and a classical existence theorem of global attractor, we prove that the reaction‐diffusion equation possesses a global attractor in Sobolev space Hk for all k > 0, which attracts any bounded subset of Hk(Ω) in the Hk‐norm.
openaire +4 more sources
Molecular Oncology, EarlyView.Keratin 19 (KRT19) is overexpressed in high‐grade serous ovarian cancer with high levels of Kallikrein‐related peptidases (KLK) 4–7 and is associated with poor survival. In vivo analyses demonstrate that elevated KRT19 increases peritoneal tumour burden.
Sophia Bielesch +13 more
wiley +1 more source
A Novel Method for Designing Multistable Systems with a Hidden Attractor
AxiomsDynamical systems with chaotic attractors are an interesting topic not only for their complex behavior but also due to their potential applications. Along with the chaos, systems can also present interesting features such as multistability, global basin ...
Rodolfo de Jesús Escalante-González +2 more
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Global Attractors in H1(ℝN) for Nonclassical Diffusion Equations
Discrete Dynamics in Nature and Society, 2012 We study the existence of global attractors for nonclassical diffusion equations in H1(ℝN). The nonlinearity satisfies the arbitrary order polynomial growth conditions.
Qiao-zhen Ma +2 more
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A survey on impulsive dynamical systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this survey we provide an introduction to the theory of impulsive dynamical systems in both the autonomous and nonautonomous cases. In the former, we will show two different approaches which have been proposed to analyze such kind of dynamical systems
Everaldo Bonotto +3 more
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CCDC80 suppresses high‐grade serous ovarian cancer migration via negative regulation of B7‐H3
Molecular Oncology, EarlyView.PAX8 is a lineage‐specific master regulator of transcription in high‐grade serous ovarian cancer (HGSC) progression. We show for the first time that PAX8 facilitates proliferation and metastasis by repressing the cell autonomous tumor suppressor CCDC80 and inducing B7‐H3 expression.
Aya Saleh +12 more
wiley +1 more source
Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations
Electronic Journal of Differential Equations, 2002 We study the problem of upper semicontinuity of compact global attractors of non-autonomous dynamical systems for small perturbations. For the general nonautonomous dynamical systems, we give the conditions of upper semicontinuity of attractors for small
David N. Cheban
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Molecular Oncology, EarlyView.RNA profiling of circulating extracellular vesicles (EVs) from blood samples of men undergoing prostate biopsy identifies transcripts associated with clinically significant prostate cancer. Integrative analysis with public tumor datasets links EV‐derived gene signatures to tumor stage and progression‐free survival, highlighting CASP3, XRCC2, and RIT1 ...
Stefan Werner +14 more
wiley +1 more source
Cross diffusion systems on n spatial dimensional domains
Electronic Journal of Differential Equations, 2003 We show that there exists a global attractor for a triangular cross diffusion system with Lotka-Volterra reaction given on a two dimensional domain.
Dung Le
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