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A partial Hamiltonian approach for current value Hamiltonian systems [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2014 We develop a partial Hamiltonian framework to obtain reductions and closed-form solutions via first integrals of current value Hamiltonian systems of ordinary differential equations (ODEs). The approach is algorithmic and applies to many state and costate variables of the current value Hamiltonian.
R Naz, F M Mahomed, Azam Chaudhry
exaly +4 more sources
A Theoretical Mechanism for the Action of SONG-Modulated Laser Light on Human Very Small Embryonic-Like (hVSEL) Stem Cells in Platelet Rich Plasma (PRP) [PDF]
CellR4, 2021 It has previously been shown that human very small embryonic-like (hVSEL) stem cell proliferation occurs rapidly when hVSEL stem cells in platelet rich plasma (PRP) are exposed to Strachan Ovokaitys Node Generator (SONG)-modulated laser light.
J. Brindley, P. Hollands, T. Ovokaitys
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Delay Differential Model for Tumour-Immune System With Chemo-therapy and Optimal Control [PDF]
ITM Web of Conferences, 2020 In this paper, we present a mathematical model of tumour-immune interactions in presence of chemotherapy treatment. The model is governed by a system of delay differential equations with optimal control variables.
Rihan Fathalla A., Rihan Bassel F.
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Effective Hamiltonians and Counterterms for Hamiltonian Truncation
Journal of High Energy Physics, 2023 Abstract We outline a procedure for applying Hamiltonian Truncation to Quantum Field Theories (QFTs) that have UV divergences. To do this, we derive a novel representation of an Effective Hamiltonian which makes manifest some of its important properties (e.g.
Miró, Joan, Ingoldby, James
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Forbidden Subgraphs for Existences of (Connected) 2-Factors of a Graph
Discussiones Mathematicae Graph Theory, 2023 Clearly, having a 2-factor in a graph is a necessary condition for a graph to be hamiltonian, while having an even factor in graph is a necessary condition for a graph to have a 2-factor.
Yang Xiaojing, Xiong Liming
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Analytical results for phase bunching in the pendulum model of wave-particle interactions
Frontiers in Astronomy and Space Sciences, 2022 Radiation belt electrons are strongly affected by resonant interactions with cyclotron-resonant waves. In the case of a particle passing through resonance with a single, coherent wave, a Hamiltonian formulation is advantageous.
Jay M. Albert +5 more
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Real Hamiltonian forms of Hamiltonian systems [PDF]
The European Physical Journal B, 2004 We introduce the notion of a real form of a Hamiltonian dynamical system in analogy with the notion of real forms for simple Lie algebras. This is done by restricting the complexified initial dynamical system to the fixed point set of a given involution. The resulting subspace is isomorphic (but not symplectomorphic) to the initial phase space. Thus to
G. MARMO +3 more
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Research on Flight Collision Avoidance Control on The Sun-Earth Libration Points Based on Barrier Theory [PDF]
Xibei Gongye Daxue Xuebao, 2018 In the spacecraft formation task, a spacecraft failure or formation of the mission to change the need for reconstruction of the formation. In the process of reconstruction, how to carry out spacecraft anti-collision has been widespread concern.
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Journal of Operator Theory, 2021 We reconcile, at the semi-classical level, the original spectral realization of zeros of the Riemann zeta function as an ``absorption'' picture using the ad\`ele class space, with the ``emission'' semi-classical computations of Berry and Keating. We then use the quantized calculus to analyse the recent attempt of X.-J.~Li at proving Weil's positivity ...
Connes, Alain, Consani, Caterina
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On degree-sequence characterization and the extremal number of edges for various Hamiltonian properties under fault tolerance [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 Assume that $n, \delta ,k$ are integers with $0 \leq k < \delta < n$. Given a graph $G=(V,E)$ with $|V|=n$. The symbol $G-F, F \subseteq V$, denotes the graph with $V(G-F)=V-F$, and $E(G-F)$ obtained by $E$ after deleting the edges with at least one ...
Shih-Yan Chen, Shin-Shin Kao, Hsun Su
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