Journal ArticleDOI
A two-body problem of classical electrodynamics: the one-dimensional case
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TLDR
In this article, the Lienard-Wiechert potentials were replaced with the Lorentz-Abraham force law for the two-body problem of classical electrodynamics.About:
This article is published in Annals of Physics.The article was published on 1963-01-01. It has received 121 citations till now. The article focuses on the topics: Method of image charges & Classical electromagnetism.read more
Citations
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Book ChapterDOI
Chapter 5 Functional Differential Equations with State-Dependent Delays: Theory and Applications
TL;DR: This chapter describes examples of differential equations with state dependent delays which arise in physics, automatic control, neural networks, infectious diseases, population growth, and cell production.
Journal ArticleDOI
The solution manifold and C1-smoothness for differential equations with state-dependent delay
TL;DR: In this paper, two mild additional smoothness conditions on the variational equation with state-dependent delay were proposed. But the additional conditions on f are motivated by properties of differential equations with statedependent delay.
Journal ArticleDOI
Boundary layer phenomena for differential-delay equations with state-dependent time lags, I.
TL;DR: In this article, a Poincare-Bendixson theory and phase-plane analysis for the differential-delay equation is proposed and the existence of periodic solutions for 0 < ǫ ≥ 0 is proved.
Journal ArticleDOI
A non-local PDE model for population dynamics with state-selective delay: Local theory and global attractors
TL;DR: In this paper, a non-local PDE model for the evolution of a single species population that involves delayed feedback is proposed, where the delay such as the maturation time in the delayed birth rate, is selective and the selection depends on the status of the system.
Journal ArticleDOI
Dynamics of a limit cycle oscillator under time delayed linear and nonlinear feedbacks
TL;DR: In this article, the effects of time delayed linear and nonlinear feedbacks on the dynamics of a single Hopf bifurcation oscillator were investigated and a host of complex temporal phenomena such as phase slips, frequency suppression, multiple periodic states and chaos were observed in a large number of coupled limit cycle oscillators.
References
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Book
Differential and integral calculus
TL;DR: The Integral and Differential Calculus: The Definite Integral, The Derivative, The Estimation of Integrals and the Mean Value Theorem of the Integral Calculus.
Journal ArticleDOI
Die Theorie des starren Elektrons in der Kinematik des Relativitätsprinzips
TL;DR: In this paper, the authors present a detailed analysis of the starre Korper der alten Mechanik and its relation to the hyperbelbewegung of starren Elektrons, as well as a transformation of the Wellengleichung, the potentiale and the Feldstarrken auf ein mitbwegtes Koordinatensystem.
Journal ArticleDOI
VI. On the motion of the lorentz electron
TL;DR: In this paper, the Lorentz electron motion has been studied in terms of the motion of the electron and its motion in the universe, and the authors propose a method to detect the origin and motion of an electron.
Book ChapterDOI
A Functional-Differential System of Neutral Type Arising in a Two-Body Problem of Classical Electrodynamics
TL;DR: In this paper, a functional-differential system of neutral type arising in a two-body problem of classical electrodynamics has been discussed and the existence theorems are studied at present.
Journal ArticleDOI
On the Electromagnetic Two-Body Problem
TL;DR: In this article, a direct attack on the electromagnetic two-body problem, based on the hypotheses that the bodies are particles, that the fields are given by the retarded potential, and that the force on a particle is the Lorentz ponderomotive force (without a radiation term).