Results 31 to 40 of about 106 (55)
The topology and isochronicity on complex Hamiltonian systems with homogeneous nonlinearities
In this paper, we study the Hamiltonian differential systems with homogeneous nonlinearity parts on $\mathbb{C}^2$. Firstly, we present a series of topological properties of polynomial Hamiltonian functions, with a particular focus on the characteristics
Dong, Guangfeng, Yang, Jiazhong
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Applications of 2D Padé Approximants in Nonlinear Shell Theory: Stability Calculation and Experimental Justification [PDF]
, 2012 Andrianov, Igor +2 more
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The transition from regular to irregular motions, explained as travel on Riemann surfaces [PDF]
, 2005 Sommacal, Matteo
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Differential Equations, 2020
We consider systems of the form $$\dot{x}=-y-P(x,y)$$, $$\dot{y}=x+Q(x,y)$$, where $$P$$ and $$Q$$ are functions holomorphic at the origin whose power series expansions in $$x$$ and $$y$$ do not contain free and linear terms and which satisfy the Cauchy–Riemann conditions.
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We consider systems of the form $$\dot{x}=-y-P(x,y)$$, $$\dot{y}=x+Q(x,y)$$, where $$P$$ and $$Q$$ are functions holomorphic at the origin whose power series expansions in $$x$$ and $$y$$ do not contain free and linear terms and which satisfy the Cauchy–Riemann conditions.
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Isochronous Centers and Foci of Two-Dimensional Holomorphic Differential Systems
Russian MathematicsTwo-dimensional autonomous systems of differential equations of the form ẋ= y P(x, y), ẏ = x + Q(x, y), where P and Q are holomorphic functions of order greater than or equal two are considered. In this work, necessary and sufficient conditions for the existence of an isochronous center or focus are obtained. These conditions are formulated in terms of
Amel'kin, V. V., Tyshchenko, V. Yu.
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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
Oral complications of cancer and cancer therapy
Ca-A Cancer Journal for Clinicians, 2012Joel B Epstein +2 more
exaly