Results 291 to 300 of about 6,209,872 (360)

Loci of limit cycles

Physical Review E, 1994
A recent method of Delamotte [Phys. Rev. Lett. 70, 3361 (1993)] for obtaining approximate analytic expressions for the loci of limit cycles in one variable is applied to coupled nonlinear first-order rate equations in several variables, the typical case for most models based on chemical kinetics.
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Foliation without limit cycles

Mathematical Notes of the Academy of Sciences of the USSR, 1971
The following theorem is proved for a closed manifold M with an oriented foliated structure of codimension 1 without limit cycles, supplemented by a foliation of one-dimensional normals: if every normal in M intersects every leaf, the same is true of the induced foliation on M (a universal covering of M).
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Beyond Limit Cycles

2014
Dynamical approaches to biological systems emphasize the qualitative nature of the time-dependent behaviors that can be observed as parameter values are changed. If the important parameters can be identified, then they can be manipulated experimentally.
John Milton, Toru Ohira
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Limit Cycles in Random Environments

SIAM Journal on Applied Mathematics, 1977
We analyze simple predator-prey models in stochastic environments by a perturbational approach near bifurcating regimes. We obtain the stationary probability distribution for the radial variable, even when the system is on a limit cycle. The basic technique involves an adaptation of the method of averaging to take account of random fluctuations.
Lin, Juan, Kahn, Peter B.
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Limit Cycle‐Strange Attractor Competition

Studies in Applied Mathematics, 2003
To 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., Jackson, T. L., Nelson, P. W.   +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, 1993
Abstract 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., Bakker, R.J., Oepts, D., van der Meer, A.F. G., van Amersfoort, P.W.   +4 more
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Stable Limit Cycle

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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Limit Cycle Mixing

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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Abelian Integrals and Limit Cycles

Qualitative Theory of Dynamical Systems, 2011
In 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-Cycle-Based Decoupled Design of Circle Formation Control with Collision Avoidance for Anonymous Agents in a Plane

IEEE Transactions on Automatic Control, 2017
Chen Wang, G. Xie
semanticscholar   +1 more source