Resonant oscillations of a gyroscope with nonlinear frequency-dependent friction in the elastic suspension

1992 ◽  
Vol 28 (6) ◽  
pp. 399-405
Author(s):  
V. V. Avrutov
Keyword(s):  
Nonlinear Frequency ◽  
Elastic Suspension ◽  
Frequency Dependent

Nonlinear frequency-dependent attenuation in sandy sediments

2007 ◽  
Vol 121 (5) ◽  
pp. EL218-EL222 ◽  
Author(s):  
J. D. Holmes ◽  
W. M. Carey ◽  
S. M. Dediu ◽  
W. L. Siegmann
Keyword(s):  
Nonlinear Frequency ◽  
Frequency Dependent ◽  
Sandy Sediments

Nonlinear Frequency-Dependent Model for Microinductors With Magnetic Core

2013 ◽  
Vol 34 (2) ◽  
pp. 304-306 ◽  
Author(s):  
Steven Gaskill ◽  
Andrei Papou ◽  
Anuraag Mohan ◽  
William French ◽  
Andreas Weisshaar
Keyword(s):  
Magnetic Core ◽  
Nonlinear Frequency ◽  
Frequency Dependent ◽  
Dependent Model ◽  
Frequency Dependent Model

scholarly journals Frequency-dependent fitness induces multistability in coevolutionary dynamics

2012 ◽  
Vol 9 (77) ◽  
pp. 3387-3396 ◽  
Author(s):  
Hinrich Arnoldt ◽  
Marc Timme ◽  
Stefan Grosskinsky
Keyword(s):  
Frequency Dependence ◽  
Evolutionary Dynamics ◽  
Metastable States ◽  
Theoretical Research ◽  
Nonlinear Frequency ◽  
Frequency Dependent ◽  
Switching Dynamics ◽  
Game Theoretic ◽  
System Properties ◽  
The Impact

Evolution is simultaneously driven by a number of processes such as mutation, competition and random sampling. Understanding which of these processes is dominating the collective evolutionary dynamics in dependence on system properties is a fundamental aim of theoretical research. Recent works quantitatively studied coevolutionary dynamics of competing species with a focus on linearly frequency-dependent interactions, derived from a game-theoretic viewpoint. However, several aspects of evolutionary dynamics, e.g. limited resources, may induce effectively nonlinear frequency dependencies. Here we study the impact of nonlinear frequency dependence on evolutionary dynamics in a model class that covers linear frequency dependence as a special case. We focus on the simplest non-trivial setting of two genotypes and analyse the co-action of nonlinear frequency dependence with asymmetric mutation rates. We find that their co-action may induce novel metastable states as well as stochastic switching dynamics between them. Our results reveal how the different mechanisms of mutation, selection and genetic drift contribute to the dynamics and the emergence of metastable states, suggesting that multistability is a generic feature in systems with frequency-dependent fitness.

Frequency dependence of CO2 elimination and respiratory resistance in monkeys

1985 ◽  
Vol 58 (2) ◽  
pp. 653-657 ◽  
Author(s):  
J. W. Watson ◽  
A. C. Jackson
Keyword(s):  
Frequency Dependence ◽  
Nonlinear Frequency ◽  
Frequency Dependent ◽  
Dependent Behavior ◽  
Frequency Independent ◽  
Respiratory System Resistance ◽  
The Relationship ◽  
High Frequency Oscillatory ◽  
Large Frequency ◽  
Co2 Elimination

In dogs, respiratory system resistance (Rrs) is frequency independent, and during high-frequency oscillatory ventilation (HFO) the relationship between CO2 elimination (VCO2) and frequency is linear. In contrast, we found in rabbits a large frequency-dependent decrease in Rrs with increasing frequency along with a nonlinear relationship between frequency and VCO2 (J. Appl. Physiol. 57: 354–359, 1984). We proposed that frequency dependent mechanical properties of the lung account for inter-species differences in the frequency dependence of gas exchange during HFO. In the current study we tested this hypothesis further by measuring VCO2 and Rrs as a function of frequency in a species of monkey (Macaca radiata). In these monkeys, Rrs decreased minimally between 4 and 8 Hz and in general increased at higher frequencies, whereas VCO2 was linearly related to frequency. This is further evidence supporting the hypothesis that nonlinear frequency-VCO2 behavior during HFO is related to frequency-dependent behavior in Rrs.

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