Effects of Periodic and Stochastic Perturbations on Oscillations and Chaos in a Model of the Peroxidase-Oxidase Reaction

1985 ◽  
Vol 40 (12) ◽  
pp. 1283-1288 ◽  
Author(s):  
Lars F. Olsen
Keyword(s):  
Chaotic Dynamics ◽  
Experimental System ◽  
The Other ◽  
Random Perturbations ◽  
Chaotic Oscillations ◽  
Stochastic Perturbations ◽  
Small Random Perturbations ◽  
Periodic Dynamics ◽  
Oxidase Reaction ◽  
Small Periodic

The effects of periodic and random perturbations on the periodic and chaotic oscillations in a model of the peroxidase-oxidase reaction are investigated. The perturbations were chosen to be comparable in size and frequency to those measured in the experimental system. Small periodic perturbations did not affect the dynamics significantly. Small random perturbations, on the other hand, could totally obscure simple periodic dynamics whereas chaotic dynamics turned out to be relatively robust to such perturbations.

TOPOLOGICAL ANALYSIS OF CHAOS IN EQUIVARIANT ELECTRONIC CIRCUITS

1996 ◽  
Vol 06 (12b) ◽  
pp. 2531-2555 ◽  
Author(s):  
C. LETELLIER ◽  
G. GOUESBET ◽  
N.F. RULKOV
Keyword(s):  
Time Series ◽  
Chaotic Dynamics ◽  
Electronic Circuit ◽  
Topological Analysis ◽  
Experimental System ◽  
Electronic Circuits ◽  
Chaotic Oscillations ◽  
Symmetry Properties

Chaotic oscillations in an electronic circuit are studied by recording two time series simultaneously. The chaotic dynamics is characterized by using topological analysis. A comparison with two models is also discussed. Some prescriptions are given in order to take into account the symmetry properties of the experimental system to perform the topological analysis.

scholarly journals Analysis of Rattleback Chaotic Oscillations

2014 ◽  
Vol 2014 ◽  
pp. 1-15 ◽  
Author(s):  
Michael Hanias ◽  
Stavros G. Stavrinides ◽  
Santo Banerjee
Keyword(s):  
Time Series ◽  
Time Series Analysis ◽  
Chaotic Dynamics ◽  
The Other ◽  
Strange Attractors ◽  
Rotational Behaviour ◽  
Chaotic Oscillations ◽  
Kinematic Behaviour ◽  
Ancient Times ◽  
Related Time Series

Rattleback is a canoe-shaped object, already known from ancient times, exhibiting a nontrivial rotational behaviour. Although its shape looks symmetric, its kinematic behaviour seems to be asymmetric. When spun in one direction it normally rotates, but when it is spun in the other direction it stops rotating and oscillates until it finally starts rotating in the other direction. It has already been reported that those oscillations demonstrate chaotic characteristics. In this paper, rattleback’s chaotic dynamics are studied by applying Kane’s model for different sets of (experimentally decided) parameters, which correspond to three different experimental prototypes made of wax, gypsum, and lead-solder. The emerging chaotic behaviour in all three cases has been studied and evaluated by the related time-series analysis and the calculation of the strange attractors’ invariant parameters.

scholarly journals ON STOCHASTIC PERTURBATIONS OF DYNAMICAL SYSTEMS WITH FAST AND SLOW COMPONENTS

2001 ◽  
Vol 01 (02) ◽  
pp. 261-281 ◽  
Author(s):  
MARK FREIDLIN
Keyword(s):  
Dynamical Systems ◽  
Large Deviations ◽  
Stochastic Resonance ◽  
Slow Motion ◽  
Point Of View ◽  
Random Perturbations ◽  
Stochastic Perturbations ◽  
Large Deviations Theory ◽  
Stable Equilibria ◽  
Small Random Perturbations

Dynamical systems with fast and slow components are considered. We show that small random perturbations of the fast component can lead to essential changes in the limiting slow motion. For example, new stable equilibria or deterministic oscillations with amplitude and frequency of order 1 can be introduced by the perturbations. These are stochastic resonance type effects, and they are considered from the point of view of large deviations theory.

scholarly journals Plasmodium infection decreases fecundity and increases survival of mosquitoes

2012 ◽  
Vol 279 (1744) ◽  
pp. 4033-4041 ◽  
Author(s):  
J. Vézilier ◽  
A. Nicot ◽  
S. Gandon ◽  
A. Rivero
Keyword(s):  
Life History ◽  
Insecticide Resistance ◽  
Life History Traits ◽  
Experimental System ◽  
Adaptive Strategy ◽  
Genetic Variations ◽  
The Other ◽  
Plasmodium Infection ◽  
Trade Off ◽  
The One

Long-lived mosquitoes maximize the chances of Plasmodium transmission. Yet, in spite of decades of research, the effect of Plasmodium parasites on mosquito longevity remains highly controversial. On the one hand, many studies report shorter lifespans in infected mosquitoes. On the other hand, parallel (but separate) studies show that Plasmodium reduces fecundity and imply that this is an adaptive strategy of the parasite aimed at redirecting resources towards longevity. No study till date has, however, investigated fecundity and longevity in the same individuals to see whether this prediction holds. In this study, we follow for both fecundity and longevity in Plasmodium- infected and uninfected mosquitoes using a novel, albeit natural, experimental system. We also explore whether the genetic variations that arise through the evolution of insecticide resistance modulate the effect of Plasmodium on these two life-history traits. We show that (i) a reduction in fecundity in Plasmodium- infected mosquitoes is accompanied by an increase in longevity; (ii) this increase in longevity arises through a trade-off between reproduction and survival; and (iii) in insecticide-resistant mosquitoes, the slope of this trade-off is steeper when the mosquito is infected by Plasmodium (cost of insecticide resistance).

Small random perturbations of peano phenomena

Stochastics ◽  
1982 ◽  
Vol 6 (3-4) ◽  
pp. 279-292 ◽  
Author(s):  
R. Bafico ◽  
P. Baldi
Keyword(s):  
Random Perturbations ◽  
Small Random Perturbations

ROBUSTNESS OF ADAPTATION IN CONTROLLED SELF-ADJUSTING CHAOTIC SYSTEMS

2002 ◽  
Vol 02 (04) ◽  
pp. L285-L292 ◽  
Author(s):  
PAUL MELBY ◽  
NICHOLAS WEBER ◽  
ALFRED HÜBLER
Keyword(s):  
Chaotic Dynamics ◽  
Chaotic Systems ◽  
Logistic Map ◽  
Loop Control ◽  
Edge Of Chaos ◽  
Target Value ◽  
Chua Circuit ◽  
Modified Logistic Map ◽  
Periodic Dynamics ◽  
Strong Adaptation

It was recently shown that self-adjusting systems adapt to the edge of chaos. We study the robustness of that adaptation with respect to a controlling force. We first use numerical simulations in a modified logistic map. With these, we find that, if the controlling force has a target value of the parameter that leads to periodic dynamics, the control is successful, even for very small controlling forces. We also find, however, that if the target value for the parameter leads to chaotic dynamics, the parameter resists the control and adaptation to the edge of chaos is still observed. When the controlling force is very strong, adaptation to the edge of chaos is weaker, but still present in the system. We also perform experiments with a self-adjusting Chua circuit and find the same behavior. We quantify these results with a measurement of the robustness of the adaptation as a function of the strength of the controlling force. The control used can be expressed either as a parametric control or as an additive, closed-loop control.

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