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On the Periods of Periodic Motions in Autonomous Systems

Ukrainian Mathematical Journal, 2001
Here, the author establishes lower bounds on the periods of periodic solutions to the autonomous system \(\dot x=f(x)\) determined in a partially ordered Banach space \( \langle X,\|\cdot\|,\preceq\rangle\). It is assumed that the mapping \(f:X\mapsto X\) satisfies the condition \({\mathbf m}(f(x_1)-f(x_2))\preceq_E L{\mathbf m}(x_1-x_2)\) for all ...
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Precise tracking of periodic trajectories for periodic systems

Transactions of the Institute of Measurement and Control, 2018
Stable inversion was an effective method to achieve precise trajectory tracking, for which the tracking problem of periodically time-varying systems was solved in the existing literature. However, iteration techniques were required to approach stable inversion, whose explicit formulas for this tracking problem cannot be obtained.
Youling Zhang, Qiuguo Zhu, Rong Xiong
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Periodic Kolmogorov Systems

SIAM Journal on Mathematical Analysis, 1982
The existence of nontrivial periodic solutions of periodic Kolmogorov systems of ordinary differential equations is considered. Under very general conditions, a global continuum of solutions is shown to bifurcate from a noncritical periodic solution of a reduced system using the average inherent per unit growth rate of one component of the system as a ...
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On periodicities in metabolizing systems

The Bulletin of Mathematical Biophysics, 1948
Following a previous study by A. Weinberg, the author investigates periodical diffusion phenomena produced in a spherical cell by a simple coupled set of chemical reactions. The general solution even for a spherical cell does not possess spherical symmetry.
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Superconductivity in the Periodic System

Physical Review, 1958
The empirical regularities in the appearance of superconductivity in the periodic system discussed by Matthias are considered in the light of the microscopic theory of superconductivity proposed by Bardeen, Cooper, and Schrieffer. A simple model of electrons and ions interacting via screened Coulomb forces is used to describe the electron-lattice ...
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Normalization of a Periodic Hamiltonian System

Programming and Computer Software, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Topological Study of the Periodic System

Journal of Chemical Information and Computer Sciences, 2004
We carried out a topological study of the Space of Chemical Elements, SCE, based on a clustering analysis of 72 elements, each one defined by a vector of 31 properties. We looked for neighborhoods, boundaries, and other topological properties of the SCE.
Guillermo Restrepo   +3 more
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