Routes to chaos in the post-stall dynamics of higher-dimensional aircraft model

Rohith, G; Sinha, Ν.Κ.

doi:10.1007/s11071-020-05604-8

Cited by 6 publications

(4 citation statements)

References 17 publications

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“…Some examples of studies using such an approach are Refs. (Jahnke, 1990;Guicheteau, 1998;Lowenberg and Champneys, 1998;Macmillen, 1998;Hassan and Taha, 2017;Rohith and Sinha, 2020).…”

Section: Introductionmentioning

confidence: 99%

Model-based manoeuvre analysis: a path to a new paradigm in aircraft flight dynamics

Shayak,

Girdhar,

Malviya

2024

Front. Aerosp. Eng.

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We propose a closed-form system of nonlinear equations for the pitch plane or longitudinal motions of a fixed-wing aircraft and use it to demonstrate a possible path to the unification of theoretical flight dynamics and practical analysis of aircraft manoeuvres. The derivation of an explicit model free of data tables and interpolated functions is enabled by our use of empirical formulae for lift and drag which agree with experiments. We validate the model by recovering the well-known short period and phugoid modes, and the regions of normal and reversed command. We then use the model to present detailed simulations of two acrobatic manoeuvres, an Immelmann turn and a vertical dive. Providing new quantitative insights into the dynamics of aviation, our model-based manoeuvre analysis has the potential to impact both the academic flight dynamics curriculum and the ground training program for pilots of manned and unmanned aircraft. Possible consequences of future model-centric pilot training may include improved safety standards in general and commercial aviation as well as expedited theoretical course completion in air transport.

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“…Some examples of studies using such an approach are Refs. (Jahnke, 1990;Guicheteau, 1998;Lowenberg and Champneys, 1998;Macmillen, 1998;Hassan and Taha, 2017;Rohith and Sinha, 2020).…”

Section: Introductionmentioning

confidence: 99%

Model-based manoeuvre analysis: a path to a new paradigm in aircraft flight dynamics

Shayak,

Girdhar,

Malviya

2024

Front. Aerosp. Eng.

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“…A dynamical system is any system whose future state is dependent on the current state. Many real-world dynamical systems are simulated using approximate models, which occupy a wide range of applications from population models [1] to aeronautical dynamics [2]. A common characteristic of a dynamical system is that its behavior can change with a system parameter, known as a bifurcation.…”

Section: Introductionmentioning

confidence: 99%

Temporal Network Analysis Using Zigzag Persistence

Myers¹,

Khasawneh²,

Munch³

2022

Preprint

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This work presents a framework for studying temporal networks using zigzag persistence, a tool from the field of Topological Data Analysis (TDA). The resulting approach is general and applicable to a wide variety of time-varying graphs. For example, these graphs may correspond to a system modeled as a network with edges whose weights are functions of time, or they may represent a time series of a complex dynamical system. We use simplicial complexes to represent snapshots of the temporal networks that can then be analyzed using zigzag persistence. We show two applications of our method to dynamic networks: an analysis of commuting trends on multiple temporal scales, e.g., daily and weekly, in the Great Britain transportation network, and the detection of periodic/chaotic transitions due to intermittency in dynamical systems represented by temporal ordinal partition networks. Our findings show that the resulting zero-and one-dimensional zigzag persistence diagrams can detect changes in the networks' shapes that are missed by traditional connectivity and centrality graph statistics.

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“…Based on bifurcation analysis method, the problem of deep-stall recovery has been studied for the aircraft without longitudinal static stability in [13], where a finite-time prescribed performance deep-stall recovery control scheme is designed and stability of the closed-loop system is proved by the common Lyapunov functional method. Rohith and Sinha in [14] examine possible routes to chaos in the post-stall dynamics of an F-18 high-model with the wind as the driving agent. It has been established that there are three routes to chaos including quasi-periodic, period-doubling and intermittency route according to different post-stall flight conditions.…”

Section: Introductionmentioning

confidence: 99%

An Investigation of the Bifurcation Behavior of an F-18 Aircraft Model

Cheng

Zhang

2022

J Nonlinear Math Phys

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Bifurcations of equilibria and limit cycles of an F-18 aircraft model have been investigated in this paper based on one or two continuation parameters. First, it is shown that the aircraft can be in a stable straight-and-level flight state by coordinating the elevator deflection and the engine thrust and fixing the other parameters. Second, the aircraft may be disturbed by perturbations out of the longitudinal plane and get into the lateral-directional motion mode by a branch point bifurcation. Third, when the straight flight state loses its stability, body axis angular rates will present periodic or quasi-periodic motion pattern by the Hopf or Neimark–Sacker bifurcation. Finally, bifurcation structure of limit cycles has been exhibited, including the generalized Hopf bifurcation, the Neimark–Sacker bifurcation, the Hopf-Hopf bifurcation and the fold-Neimark–Sacker bifurcation. Meanwhile corresponding bifurcation curves in two-parameter plane have been depicted with the help of numerical continuation techniques.

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Routes to chaos in the post-stall dynamics of higher-dimensional aircraft model

Cited by 6 publications

References 17 publications

Model-based manoeuvre analysis: a path to a new paradigm in aircraft flight dynamics

Model-based manoeuvre analysis: a path to a new paradigm in aircraft flight dynamics

Temporal Network Analysis Using Zigzag Persistence

An Investigation of the Bifurcation Behavior of an F-18 Aircraft Model

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