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Limit Cycle‐Strange Attractor Competition
Studies in Applied Mathematics, 2003To understand the competition between what are known as limit cycle and strange attractor dynamics, the classical oscillators that display such features were coupled and studied with and without external forcing. Numerical simulations show that, when the Duffing equation (the strange attractor prototype) forces the van der Pol oscillator (the limit ...
Criminale, W. O. +2 more
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Limit cycle behaviour in FELIX
Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 1993Abstract The free electron laser for infrared experiments (FELIX) operates at wavelengths up to λ = 110 μ m. A radio-frequency linear accelerator is used to produce electron micropulses with a duration of about 3 ps. With N = 38 undulator periods, this puts FELIX well into the regime where the slippage length, Nλ , exceeds the electron ...
Jaroszynski, D.A. +4 more
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1997
After the circuit has been constructed, this investigation should not take more than 2 hours to complete.
Richard H. Enns, George C. McGuire
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After the circuit has been constructed, this investigation should not take more than 2 hours to complete.
Richard H. Enns, George C. McGuire
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Journal of the Atmospheric Sciences, 1989
Abstract Lagrangian equations for momentum and buoyancy are developed for idealized turbulent fluid elements. The resulting formulation of transport can he viewed as a generalization of mixing length and parcel theories of mixing for application to gridded Eulerian models.
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Abstract Lagrangian equations for momentum and buoyancy are developed for idealized turbulent fluid elements. The resulting formulation of transport can he viewed as a generalization of mixing length and parcel theories of mixing for application to gridded Eulerian models.
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Abelian Integrals and Limit Cycles
Qualitative Theory of Dynamical Systems, 2011In this survey paper, the author discusses the interconnection of the problem of estimating the number of limit cycles of planar polynomial systems (Hilbert's 16th problem) and the problem of estimating the number of isolated zeros of certain abelian integrals. In the first part of the paper, some basic concepts and methods are introduced.
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Limit cycles in space-limited communities
Mathematical Biosciences, 1977Abstract The probability of the occurence of limit cycles in reaction-diffusion models for communities of space-limited organisms is estimated. It is found that this probably is appreciable for species-rich communities.
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1974
Populations change. Some natural populations seem to change in a regular, cyclic manner. This report is about models of populations which so change or fluctuate. We develop a rather simple mathematical idea: Suppose a Lotka-Volterra model of a predator-prey system enjoys asymptotic stability for some population combination.
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Populations change. Some natural populations seem to change in a regular, cyclic manner. This report is about models of populations which so change or fluctuate. We develop a rather simple mathematical idea: Suppose a Lotka-Volterra model of a predator-prey system enjoys asymptotic stability for some population combination.
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Overcoming Shockley-Queisser limit using halide perovskite platform?
Joule, 2022Yuchen Hou, Tao Ye, Dong Yang
exaly