Capturing Turbulent Dynamics and Statistics in Experiments with Unstable Periodic Orbits

Suri, Balachandra; Kageorge, Logan; Grigoriev, Roman O.; Schatz, Michael F.

doi:10.1103/physrevlett.125.064501

Cited by 29 publications

(28 citation statements)

References 40 publications

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“…It is essentially a generalization of the approach proposed by Suri et al. (2020) for UPOs and relies on the skew product decomposition of the dynamics (Fiedler et al. 1996; Sandstede, Scheel & Wulff 1999) in the vicinity of relative solutions induced by continuous symmetries.…”

Section: Resultsmentioning

confidence: 99%

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Exact coherent structures and shadowing in turbulent Taylor–Couette flow

Krygier

Pughe-Sanford²,

Grigoriev³

2021

J. Fluid Mech.

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Section: Resultsmentioning

confidence: 99%

“…Kolmogorov flow in two dimensions (Suri et al. 2020) and three dimensions (Yalnız, Hof & Budanur 2020). However, it is not completely understood how the presence of symmetries affects the shadowing property.…”

Section: Introductionmentioning

confidence: 99%

Exact coherent structures and shadowing in turbulent Taylor–Couette flow

Krygier

Pughe-Sanford²,

Grigoriev³

2021

J. Fluid Mech.

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“…The mechanism of action of flavonoids as antifungal compounds is divided into 3, namely inhibiting nucleic acid synthesis, inhibiting cell membrane function and inhibiting energy metabolism In inhibiting the synthesis of nucleic acids, the A and B rings of flavonoid compounds play an important role in the intercellation process or hydrogen bonding, namely by accumulating nucleic acid bases so that they inhibit the formation of DNA and RNA 3,7,915 . The results of flavonoid interactions will also cause damage to cell wall permeability.…”

Section: Discussionmentioning

confidence: 99%

“…Chronic vulvovaginal candidiasis is also known to be a triggering factor for vulvovaginalis. 3,4 The World Health Organization (WHO) is a problem that should be regularly investigated because it reduces the quality of life for women and their partners 5,6 .…”

Section: Introductionmentioning

confidence: 99%

Effectiveness of Giving Secang Wood Extract (Caesalpinia Sappan L) Against IL-6 And IL-10 Levels in Balb / C Mice With Vulvovaginalis Candidiasis

Sri Wahyu,

Firdaus Hamid,

Mochammad Hatta

et al. 2021

Indian Journal of Forensic Medicine & Toxicology

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The aim of this study was to test the effectiveness of secang wood extract (Caesalpinia sappan L) on IL-6 and IL-10 expression in Balb / c mice with vulvovaginalis candidiasis. This type of research is an experimental laboratory, with a control group design using experimental animals as research objects. The research subjects were BALB / c mice weighing 35-40 grams, aged 10-12 weeks, the number of experimental animals needed in this study was 18 for 3 random groups, each group being 6. Analysis and data processing using the excel program SPSS Repeated ANOVA Test was used to measure differences in cytokine levels. IL-6 levels in group 1 (control) where the value of IL-6 expression after infection (H1) was 4309.40 pg /mL (IQR value 3803.8-4963.5) after treatment (H7) in the control group increased by 5578.12 pq / mL (IQR 5330.3 -6162.9). In group 2 that were given fluconazole and secang wood extract, IL-6 levels tended to decrease by 3516.4 pq / mL (IQR: 3070.4-4061.6) Secang wood after infection decreased from 3417.34 pq / mL to 2782.97 pq / mL after treatment. In Group 2 that was given fluconazole and secang wood extract, IL-10 levels increased by 1414.8 pq / ml (IQR: 1061.7-3158) after infection, to 3268.35 pq / ml (IQR value: 1789.9-3709.6) after treatment. given secang wood after infection increased from 2032.67 pq / ml to 3091.83 pq / mL after treatment. The p value is 0.008. Obtained the effect of secang wood extract in reducing levels of Interleukin 6 and can increase the value of IL-10 levels after administration of secang wood extract on candidiasis vulvovaginalis

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“…Here the subscript T denotes the matrix transpose and P 0 denotes that P is positive definite. Returning to (14), a matrix K making (A + BK) stable is then equivalent to saying that there exists a P 0 such that P − (A + BK) T P(A + BK) 0.…”

Section: Full State Feedback Control Of Orbitsmentioning

confidence: 99%

Data-Driven Stabilization of Periodic Orbits

2021

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Periodic orbits are among the simplest non-equilibrium solutions to dynamical systems, and they play a significant role in our modern understanding of the rich structures observed in many systems. For example, it is known that embedded within any chaotic attractor are infinitely many unstable periodic orbits (UPOs) and so a chaotic trajectory can be thought of as 'jumping' from one UPO to another in a seemingly unpredictable manner. A number of studies have sought to exploit the existence of these UPOs to control a chaotic system. These methods rely on introducing small, precise parameter manipulations each time the trajectory crosses a transverse section to the flow. Typically these methods suffer from the fact that they require a precise description of the Poincaré mapping for the flow, which is a difficult task since there is no systematic way of producing such a mapping associated to a given system. Here we employ recent model discovery methods for producing accurate and parsimonious parameter-dependent Poincaré mappings to stabilize UPOs in nonlinear dynamical systems. Specifically, we use the sparse identification of nonlinear dynamics (SINDy) method to frame model discovery as a sparse regression problem, which can be implemented in a computationally efficient manner. This approach provides an explicit Poincaré mapping that faithfully describes the dynamics of the flow in the Poincaré section and can be used to identify UPOs. For each UPO, we then determine the parameter manipulations that stabilize this orbit. The utility of these methods are demonstrated on a variety of differential equations, including the Rössler system in a chaotic parameter regime.

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Capturing Turbulent Dynamics and Statistics in Experiments with Unstable Periodic Orbits

Cited by 29 publications

References 40 publications

Exact coherent structures and shadowing in turbulent Taylor–Couette flow

Exact coherent structures and shadowing in turbulent Taylor–Couette flow

Effectiveness of Giving Secang Wood Extract (Caesalpinia Sappan L) Against IL-6 And IL-10 Levels in Balb / C Mice With Vulvovaginalis Candidiasis

Data-Driven Stabilization of Periodic Orbits

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