Download Mode Locking and Entrainment of Endogenous Economic Cycles (Classic Reprint) - Christian Haxholdt file in PDF
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Preemptive entrainment applies a rotating rmp before a neoclassical tearing mode fully decelerates such that it will be entrained by the rmp and mode rotation.
Entrainment has been used as a term to describe the process of mode locking of coupled driven oscillators, which is the process whereby two interacting oscillating systems, which have independent and different periods, assume a common period, which might be not only synchrony, but also other phase relationships.
Some of these distributions displayed two modes, which presumably indicated simultaneous occurrence of 1:1 and 2:1 frequency-locking. Direct comparison between our experimental results and the computed arnold tongues indicated that the locations of the experimental entrainment plateaux correspond closely to the regions where frequency-locking.
Abstract we explore the robustness of aggregation in sterman's model of the economic long wave. The original model aggregates all capital‐producing firms.
A complex mode-locking (or entrainment) structure underlying the nonlinear whirling phenomenon of a horizontal jeffcott rotor with a discontinuous nonlinearity (bearing clearance) was identified. A winding number is introduced as a measure of the ratio between two frequencies involved in the aperiodic whirling motions of the rotor system.
The earliest known reference to the mode-locking, or entrainment, of two maintained oscillators is christiaan huygens’ description of two pendulum clocks “falling into synchrony” when hung on the same wall. We describe an analogous phenomenon in acoustics—the mode-locking of two thermoacoustic engines which have their cases rigidly welded together, but which are otherwise uncoupled.
A complex mode-locking (entrainment) topology underlying the continuous stirred tank reactor reaction model subjected to impulsive perturbations is identified. Employing high-resolution stability diagrams, we exhibit the global structure of mode-locking oscillations and describe how they are interconnected and how their complexity unfolds with.
The normal form captures the mode locking-dynamics of brain activity. • the system can adjust its oscillation regime to the frequency content of stimuli. • entrainment to harmonics and subharmonics of the primary frequency is found. • photosensitive seizures are predicted for physiologically based model parameters.
Mode locking and entrainment of endogenous economic cycles by haxholdt, christian.
Entrainment, or mode-locking, whereby two or more self-maintained oscillators lock together in frequency and phase, exists in a fascinating array of physical and biological systems. The earliest known reference to this phenomenon in the annals of science was made by christiaan huygens, who wrote to his father in a letter dated 26 february 1665.
The entrainment responses that we observed in sleeping humans were quite different from those observed by graves and colleagues in anesthetized humans a 1:1 entrainment in sleeping humans was observed over a much narrower range of machine rates that was limited to ∼ 85% of the spontaneous respiratory rate.
The earliest known reference to the mode-locking, or entrainment, of two maintained oscillators is christiaan huygens' description of two pendulum clocks.
Excerpt from mode locking and entrainment of endogenous economic cycles we explore the robustness of aggregation in sterman's model of the economic long wave. The original model aggregates all capital producing firms into a single sector and generates a large amplitude self-sustained oscillation with a period of roughly 50 years.
Synchronization is only one manifestation of a more general phenomenon known as mode locking or entrainment. In nonlinear systems, a periodic behavior usually contains a serie-~ of harmonic frequencies at p times the fundamental frequency, where p is an integer.
Mode-locking is a technique in optics by which a laser can be made to produce pulses of light of extremely short duration, on the order of picoseconds (10−12.
Entrainment entrainment has been used to refer to the process of mode locking of coupled driven oscillators, which is the process whereby two interacting oscillating systems, which have different periods when they function independently, assume a common period.
For example, in fiber laser systems where there are plenty of gain, low-loss saturable absorber does not give.
Thesystemisasumofdistinctmodes,orelementaryexcitations,wherethefrequencies and attenuation ratesare determinedby the eigenvalues ofthe.
• previous work simulates mode dynamics and interaction with applied rmp at diii-d • entrainment of 2/1 islands, both preemptively and in feedback, was demonstrated • eccd can be synchronized to be deposited only in the island o-point, which is expected to increase mode suppression efficiency conclusions choi/mhd workshop/nov.
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