Results 41 to 50 of about 10,864,024 (305)
Turing instability and spatially homogeneous Hopf bifurcation in a diffusive Brusselator system
Nonlinear Analysis, 2020 The present paper deals with a reaction–diffusion Brusselator system subject to the homogeneous Neumann boundary condition. When the effect of spatial diffusion is neglected, the local asymptotic stability and the detailed Hopf bifurcation of the unique ...
Xiang-Ping Yan, Pan Zhang, Cun-Huz Zhang
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Nonlinear Analysis, 2021 In this paper, we consider the dynamics of delayed Gierer–Meinhardt system, which is used as a classic example to explain the mechanism of pattern formation. The conditions for the occurrence of Turing, Hopf and Turing–Hopf bifurcation are established by
Shuangrui Zhao +2 more
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On Transformations into Normal Form
Journal of Mathematical Analysis and Applications, 1993 The author discusses a certain transformation of the vector equation \(x^ \bullet = f(x)\) to the normal form near a stationary point. It is shown that this transformation preserves certain subalgebras of the Lie algebra of all analytic vector fields and also some modules over such Lie algebras.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Rates of cancer among adolescents and young adults (AYA), age 15–39 years, are increasing. Consequently, radiation oncologists are treating more AYAs who have diagnoses spanning both pediatric and adult practices. Compared to pediatric and older adult patients, AYAs face a unique set of challenges.
Hesham Elhalawani +7 more
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Orbital Normal Forms for a family of-zero Singularity
پژوهشهای ریاضی, 2016 Consider a Dynamical system x'=F(x,µ) such that its linear part has a pair of imaginary eigenvalues and one zero eigenvalue (Hopf zero singularity). Recently, the simplest normal form for this singular system has been obtained by sl(2) Lie algebra theory
M Gazor, N Sadri
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Normal forms of piecewise-smooth monodromic systems
Advances in Nonlinear AnalysisNormal form is an important tool in the study of bifurcations but, unlike those for smooth differential systems, normal forms for piecewise-smooth systems have difficulty with the near-identity transformation, which is constructed piecewise but needs to ...
Li Jiahao, Chen Xingwu, Zhang Weinian
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Survivors of pediatric brain tumors (PBTs) can experience long‐term social difficulties, impacting quality of life. Beyond medical and environmental factors, family psychosocial risk may play a role in social outcomes by shaping the caregiving environment and may provide intervention options.
Renske H. Houben +4 more
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Quasi-periodic oscillations of a neuron equation with two delays
Моделирование и анализ информационных систем, 2011 The dynamics of a generalized impulse neuron equation with two delays is studied. A local analysis of a loss of stability for a nonzero equilibrium state has been made.
S. D. Glyzin, E. O. Ovsyannikova
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Allogeneic hematopoietic stem cell transplantation (alloHSCT) is an essential therapy for several malignant and nonmalignant diseases, but relapse and graft loss remain the principal threats to its success. Routine monitoring of chimerism and minimal residual disease (MRD) enables early detection of imminent recurrence and guides ...
Carmen Junk +10 more
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Gröbner–Shirshov Bases Theory for Trialgebras
Mathematics, 2021 We establish a method of Gröbner–Shirshov bases for trialgebras and show that there is a unique reduced Gröbner–Shirshov basis for every ideal of a free trialgebra.
Juwei Huang, Yuqun Chen
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