Dynamical Systems Approach To Space Environment Turbulence

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Reconstruction Deconstruction

Space of all dynamical systems in Symposium on Dynamical Systems and Turbulence , D. A. Rand and L. S. Young, editors, Lect. Notes Math. 898, Springer-Verlag

Rayleigh{B enard convection, thirty years of experimental

tieth century is presented, with an emphasis on the transition to turbulence and the appropriate theoretical framework, relying on the strength of con nement e ects and the distance to threshold, either dynamical systems for temporal chaos in the strongly con ned case, or models of space-time chaos when con nement e ects are weak. 1 Introduction

Biocomplexity: adaptive behavior in complex stochastic

to meet its own goals; (4) it is a distributed object that evolves both in space and time towards goals that is continually re-shaping in the light of cumulative experience stored in memory; (5) it is driven and stabilized by noise of internal origin through self-organizing dynamics. The resulting theory of stochastic dynamical systems is a


DYNAMICAL MODELS AND TECHNIQUES To explore the design space for low-thrust enabled transfers that link an arrival trajectory with the lunar science orbit, dynamical models of varying levels of fidelity are employed: from the CR3BP to an operational modeling environment.11 The CR3BP offers an autonomous model of the

Intermittent chaos driven by nonlinear Alfven waves´

Part of Special Issue Advances in space environment turbulence Abstract. We investigate the relevance of chaotic saddles and unstable periodic orbits at the onset of intermittent chaos in the phase dynamics of nonlinear Alfv´en waves by us-ing the Kuramoto-Sivashinsky (KS) equation as a model for phase dynamics.

Mathematics of Turbulence : Recent Progress and Open Questions

A dynamical-systems approach has also emerged that focuses on fixed points and edge states as critical entities that govern the dynamics of phase-space trajectories. This type of analysis and optimal-path calculations by variational principles have made important contributions to our

Dynamical Complexity, Intermittent Turbulence, Coarse-Grained

dynamical interactions of coherent structures in space plasmas and are not limited just to flux tubes; e.g., Sundkvist et al. [7] and Alexandrova et al. [8] have observed

Dietmar Rempfer

Second Monte Verità olloquium on Fundamental Problematic Issues in Turbulence, March 22 28, 1998, Ascona, Switzerland: On Dynamical Systems Obtained via Galerkin Projection onto Low-Dimensional ases of Eigenfunctions Fourth SIAM onference on Applications of Dynamical Systems, May 18 22, 1997,


Reconnection, Turbulence and Electrodynamics of the Moon's Interaction with the Sun (ARTEMIS) mission and the James Webb Space Telescope mission [6],[7]. The dynamical systems approach supplies insight into the natural dynamics associated with multi-body systems. In fact, such information enables a rapid and robust

Appendix Elements of Tensor Calculus - CERN

environment and in the Universe at large. We focused on the theoretical approach of developed turbulence in multicom-ponent mixtures of reacting gases and heterogeneous gas-dust media as well as on the construction of continuum models for turbulized hydrodynamic systems, with application to space objects.

A Hopf bifurcation in the planar Navier-Stokes equations

bifurcation point. This approach is also known as the blow-up method, which is a common tool in the study of singularities and bifurcations [8]. Computer-assisted methods have been applied successfully to many different problems in analysis, mostly in the areas of dynamical systems and partial differential equations.

On coherent structure in wall turbulence

with the dynamical systems viewpoint. In section 2 we present the theoretical develop-ment and analysis that provide the modes on which the work is based. Section 3 presents mode combinations representative of important characteristics of wall turbulence. Sec-tion 4 is a presentation and analysis of structure arising from the mode combinations,

Virtual Conference on Applications of Statistical Methods and

from dynamical systems and chaos theory showing that both marginally-stable and unstable xed points are observed across both the MHD and the sub-proton regimes. The obtained results seems to suggest the existence of a multi-stability, characterizing a dynamic bifurcation, opening a novel

Evolution to a singular measure and two sums of Lyapunov

Mar 19, 2021 Dissipative dynamical systems are one of the main paradigms of non-equilibrium physics [1]. Within the paradigm the system is represented by a point in a d-dimensional phase space The velocity of this point is the local value of a prescribed smooth velocity field. The latter is compressible so the phase-space volume and the Gibbs


In situ observations indicate that the dynamical processes in the space plasma environment generally entail anisotropic and localized intermittent fluctuations. It was suggested by Chang (1998a,b,c; 1999) that instead of considering this type of turbulence as an admixture of waves, such patchy

Unstable periodic orbits in turbulent hydrodynamics

This approach has not, to the best of our knowledge, been used before on dynamical systems of high dimension because of the formidable storage and computation required. In this thesis we describe the utilization of petascale high performance computation to the problem of applying this space-time algorithm to hydrodynamic turbulence.

arXiv:0811.0801v1 [math.PR] 5 Nov 2008

the environment. The dynamical systems approach to this problem discusses the particle motion after prescribing a single choice for each wave complex amplitude. As it would be quite exceptional to control all waves (though this is e.g. the assumption underlying the standard map, see [BeEs98b] for a discus-


In chapter 5, the idea of the transition to turbulence being a chaotic r.egime is introduced and the various routes to turbulence are examined in turn. In chapter 6, we present a Fourier series method for approximating the phase-space trajectories of a dynamical system. We illustrate the

Using a Fuzzy Piecewise Regression Analysis to Predict the

near-wall turbulence and the coherent vortical structure of bursting, e.g. [6, 7]. Aubry et al. [7] employed a dynamical systems approach to study the behav-ior of streamwise vortices in the near-wall region of turbulent boundary layers. They investigated the intermittent behavior of the streamwise vortices, similar to

Entropy production and extraction in dynamical systems and

turbulence. 2. Entropy extraction An appropriate way to study statistical properties of dynamical systems is to study the evolution of the density n which satisfies the Liouville (continuity) equation ∂n ∂t +divnv = 0. (2.1) Here n(t,r) is either a phase-space density or just a plain density in space and v(t,r) is either

Lecture 1 Matlab Simulink Sampling Theorem and Fourier Transform

Simulink is a software for modeling, simulating, and analyzing dynamical systems. It sup-ports linear and nonlinear systems, modeled in continuous time, sampled time or hybrid of two. Systems can also be multirate, i.e., have di erent parts that are sampled or updated at di erent rates.


A nonlinear dynamical systems approach to control the coherent structure dynamics and turbulence in the near field of an axisymmetric jet is presented. Experiments were performed in an initially laminar, top-hat profile, circular jet at a Reynolds number of 2.5 x 104, housed in a low-noise anechoic chamber. Acoustic excitation was used to inject

Trajectory Design Tools for Libration and Cis-Lunar - NASA

the Acceleration, Reconnection, Turbulence and Electrodynamics of the Moon's Interaction with the Sun (ARTEMIS) mission and the James Webb Space Telescope (JWST) mission [6]. The dynamical systems approach and related manifold approach offer new insights into the natural dynamics associated with the multi-body problem.

Coherent structures in a turbulent environment

The nonlinearity of the dynamical equations of uids and plasma is the determining factor in the behaviour of these systems. The current manifestation is the generation, from almost all initial conditions, of turbulent states, with an irregular aspect of uctuations implying a wide range of space and time scales. The uctuations seem to be random

AUTHOR Stickel, Sue A. TITLE Counseling. PUB DATE NOTE

space, all that is known about the state of a dynamical system at a single moment can be collapsed to a point. Phase space is composed of as many variables as needed to describe a system's movement. The chaos pattern or strange attractor is the shape of the map that results. Iteration is the simple repeating of a certain function

Coupling Large Eddies and Waves in Turbulence: Case Study of

Feb 14, 2020 for a weak turbulence approach). Small-scale dynamics in Hall MHD, and how its evolution differs from the pure MHD case, is of prime importance for laboratory and space plasmas, and has been studied extensively. At early times, like in MHD, vorticity and current sheets form, of thickness the dissipation length scale, called the

The dynamics of the vertical structure of turbulence in flood

turbulence in ood ows But, averaging of dynamical equations is unsound [11, p.153, e.g.] as sometimes done for turbulent namical systems theory to resolve

SREPORT Boiling AFB DC 20332-0001

Academy and a world leader in dynamical systems and pattern formation also has a permanent half-time appointment. All three will play central roles in ACMS. B. MISSION The Center's primary intent has been and continues to be to provide an environment for research and 3 learning in the Mathematical Sciences.

Application and comparison of Kalman filters for coastal

space and time. Data assimilation systems consist of three components: a set of observed data, a dynamical model, and an assimilation scheme. Since the data have errors and models are imperfect, a well-constructed assimilation scheme should provide a better match between data and model within the bounds of observational and modeling errors

A data-driven model of pedestrian following and emergent

approach to perception [19] with a dynamical systems approach to action [20,21]. A full understanding of behavior in this framework consists in speci-fying how information about the environment is picked up by the agent and used to control action (a control law), and a low-dimensional description of

A Gaussian Process-Based Receding Horizon Adaptive Control

a wind environment that is changing in space and time. We demonstrate the effectiveness of the proposed approach through a data-driven study on a rigid wing-based AWE system. I. INTRODUCTION In recent years, many commercial and research institutions have been working in the area of airborne wind energy (AWE) systems [1]. These systems replace

Systems theory for geospace plasma dynamics

[1] This is a tutorial review on systems theory and its applications to space plasma physics and, more broadly, on geophysics. With its basis on the state representation of a plasma the theory is widely applicable, but it is of particular interest for dynamical, nonlinear, or out-of-equilibrium


which branched off from dynamical systems theory. Complexity science attempts to provide a computational description of nature and its emergent phenomena through the lens of information (7). Emergence is a characteristic signature of many nonequilibrium and nonlinear dynamical systems, the

Edge state and crisis in the Pierce diode

2National Institute for Space Research (INPE) and World Institute for Space Environment Research (WISER), P. O. Box 515, Sa˜o Jose´ dos Campos-SP 12227-010, Brazil 3 Observatoire de Paris, LESIA

Master's degree in Aerospace Engineering

Space Resources & Planetary Settlements 3 Optional Spaceports, Airports for Spaceflights 3 Optional The Space Environment 3 Optional Turbulence: Phenomenology, Simulation, Aerodynamics 5 Optional Workshops for Innovation in Automotive Industries 6 Optional

may be relevant only to the onset stage of turbu- 2 GENERAL

cal systems exhibiting chaotic behaviour the critical value, turbulence invariably persists in (summarized for example in réf. 1) have raised the the flow, whereas in dynamical systems chaos and question whether turbulence in fluid flows could be order often alternate in narrow windows, and understood as dynamical chaos.

Uncertainty Analysis of Complex Dynamical Systems

uncertain parameters of the system. We develop an approach that involves dening uncertainty propagation in the system through the invariant measures of the system (in the sense of Random Dynamical Systems) and dening uncertainty as a worst case distance from a certain system in the space of output measures. Related, but nevertheless quite different

COMPUTER SCIENCE Copyright © 2020 Designing spontaneous

In robotics, approaches based on dynamical systems theory have been applied to analyze and control agents being modeled as sets of variables and parameters on a phase space (, 4). This dynamical 3 systems approach can deal with both the functional hierarchy and the elementary motion in a unified form by expressing the physical

F26 - apps.dtic.mil

turbulence in spatially extended systems has provided much information on the dynamical mechanisms of the generation of stochastic and coherent structures. Our present work demonstrates phenomena of spatially extended chaos and spatio-temporal intermittency in some flows governed by the Navier-Stokes equations.

2019 Master's Expo - Johns Hopkins University

and turbulence MECHANISMS OF WALL-BOUNDED TURBULENCE Master s Essay projects staring Spring 2020 High Reynolds number reduced order wall-turbulence modeling tools Model validation through simulation over a range of conditions Characterizing the role of the physics in refining the model reduction approach Research tasks and