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Commissioning of a 142.4 MeV ultra-high dose rate (UHDR) proton beamline in a synchrotron-based proton therapy system. [PDF]
Med PhysYin L +6 more
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Characterization of a Commercial Ionization Chamber Array With Scanned Proton Beams for Applications in MRI-Guided Proton Therapy. [PDF]
Med PhysGebauer B +5 more
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Journal of Applied Analysis, 2023
Abstract In this paper, we study the number of limit cycles bifurcated from the periodic orbits of a cubic uniform isochronous center with continuous and discontinuous quartic polynomial perturbations. Using the averaging theory of first order for continuous and discontinuous differential systems and comparing the obtained results, we ...
Rezaiki, Nabil, Boulfoul, Amel
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Abstract In this paper, we study the number of limit cycles bifurcated from the periodic orbits of a cubic uniform isochronous center with continuous and discontinuous quartic polynomial perturbations. Using the averaging theory of first order for continuous and discontinuous differential systems and comparing the obtained results, we ...
Rezaiki, Nabil, Boulfoul, Amel
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The Uniform Isochronous Centers with Homogeneous Nonlinearities of Degree 5
Journal of Dynamical and Control SystemsThe interest in studying the uniform isochronous centers goes back to C. Huygens in the XVII century. Since then, many papers have been published on this subject. In particular, the phase portraits of the polynomial uniform isochronous center up to degree four have been classified.
Dong, Guangfeng, Llibre, Jaume
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Uniform isochronous center of a class of higher degree polynomial differential systems
Applied Mathematics-A Journal of Chinese UniversitieszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhou, Zheng-xin, Lu, Fei-fei
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Acta Mathematicae Applicatae Sinica, English Series
This paper provides an in-depth study of the global phase portraits of uniform isochronous centers in systems of degree six, characterized by a polynomial commutator. The authors focus on systems of the form \[ \dot{x} = -y + xf(x, y) \text{ and } \dot{y} = x + yf(x, y), \] where \( f(x, y) = x\sigma(y) \), exploring the geometric implications of ...
Guo, Li-na +2 more
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This paper provides an in-depth study of the global phase portraits of uniform isochronous centers in systems of degree six, characterized by a polynomial commutator. The authors focus on systems of the form \[ \dot{x} = -y + xf(x, y) \text{ and } \dot{y} = x + yf(x, y), \] where \( f(x, y) = x\sigma(y) \), exploring the geometric implications of ...
Guo, Li-na +2 more
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly
Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma
Ca-A Cancer Journal for Clinicians, 2020Aaron J Grossberg +2 more
exaly