Phase portrait analysis of super solitary waves and flat top solutions

2018 ◽  
Vol 25 (6) ◽  
pp. 062302 ◽  
Author(s):  
S. V. Steffy ◽  
S. S. Ghosh
Keyword(s):  
Phase Portrait ◽  
Solitary Waves ◽  
Phase Portrait Analysis

Nonlinear Measure for Nonlinear Dynamic Processes Using Convergence Area: Typical Case Studies

2021 ◽  
Author(s):  
Joanofarc Xavier ◽  
S.K. Patnayak ◽  
Rames Panda
Keyword(s):  
Phase Portrait ◽  
Case Studies ◽  
Initial Conditions ◽  
Operating Point ◽  
Linear Approximations ◽  
Promising Tool ◽  
Highly Nonlinear ◽  
Phase Portrait Analysis ◽  
Nonlinear Dynamic Processes ◽  
Nonlinear Measure

Abstract Several industrial chemical processes exhibit severe nonlinearity. This paper addresses the computational and nonlinear issues occurring in many typical industrial problems in aspects of its stability, strength of nonlinearity and input output dynamics. In this article, initially, a prospective investigation is conducted on various nonlinear processes through phase portrait analysis to understand their stability status at different initial conditions about the vicinity of the operating point of the process. To estimate the degree of nonlinearity, for input perturbations from its nominal value, a novel nonlinear measure is put forward, that anticipates on the converging area between the nonlinear and their linearized responses. The nonlinearity strength is fixed between 0 and 1 to classify processes to be mild, medium or highly nonlinear. The most suitable operating point, for which the system remains asymptotically stable is clearly identified from the phase portrait. The metric can be contemplated as a promising tool to measure the nonlinearity of Industrial case studies at different linear approximations. Numerical simulations are executed in Matlab to compute , which conveys that the nonlinear dynamics of each Industrial example is very sensitive to input perturbations at different linear approximations. In addition to the identified metric, nonlinear lemmas are framed to select appropriate control schemes for the processes based on its numerical value of nonlinearity..

scholarly journals Detection of the Optic Nerve Head in Fundus Images of the Retina with Gabor Filters and Phase Portrait Analysis

2010 ◽  
Vol 23 (4) ◽  
pp. 438-453 ◽  
Author(s):  
Rangaraj M. Rangayyan ◽  
Xiaolu Zhu ◽  
Fábio J. Ayres ◽  
Anna L. Ells
Keyword(s):  
Optic Nerve ◽  
Phase Portrait ◽  
Optic Nerve Head ◽  
Gabor Filters ◽  
Fundus Images ◽  
Phase Portrait Analysis

scholarly journals Development of a Mobile Integrated System for Thermal Imaging Videodigital Diagnostics of Cow Diseases

2021 ◽  
pp. 23-28
Author(s):  
Yu.A. Tsoi ◽  
◽  
V.E. Lyubimov ◽  
L.D. Saginov ◽  
V.V. Kirsanov ◽  
...  
Keyword(s):  
Phase Portrait ◽  
Thermal Imaging ◽  
Block Diagram ◽  
Integrated System ◽  
Histogram Analysis ◽  
Thermal Images ◽  
New Methods ◽  
Inflammatory Processes ◽  
Phase Portrait Analysis ◽  
Thermal Imaging Equipment

The principles of creating a mobile integrated system for thermal imaging video-digital diagnostics of cow diseases, a block diagram of a mobile integrated system and a sequence of operations are described. The parameters of thermal imaging equipment for detecting temperature anomalies have been determined. Methods of segmentation of thermal images, histogram analysis and new methods of phase portrait analysis are selected. The features of the formation and processing of thermal images for monitoring inflammatory processes in animals have been determined.

scholarly journals Generalized model of interacting dark energy and dark matter: Phase portrait analysis for evolving universe

2022 ◽  
Author(s):  
Giridhari Deogharia ◽  
Mayukh Bandyopadhyay ◽  
Ritabrata Biswas
Keyword(s):  
Dark Matter ◽  
Dark Energy ◽  
Cosmological Model ◽  
Phase Portrait ◽  
Critical Points ◽  
Autonomous System ◽  
Cosmic Acceleration ◽  
Accelerating Universe ◽  
Late Time ◽  
Phase Portrait Analysis

The main aim of this work is to give a suitable explanation of present accelerating universe through an acceptable interactive dynamical cosmological model. A three-fluid cosmological model is introduced in the background of Friedmann–Lemaître–Robertson-Walker asymptotically flat spacetime. This model consists of interactive dark matter and dark energy with baryonic matter, taken as perfect fluid, satisfying barotropic equation of state. We consider dust as the candidate of dark matter. A scalar field [Formula: see text] represents dark energy with potential [Formula: see text]. Einstein’s field equations are utilized to construct a three-dimensional interactive autonomous system by choosing suitable interaction between dark energy and dark matter. We take the interaction kernel as [Formula: see text], where [Formula: see text] indicates the density of dark energy, [Formula: see text] is the interacting constant and [Formula: see text] is Hubble parameter. In order to explain the stability of this system, we obtain some suitable critical points. We analyze stability of obtained critical points to show the different phases of universe and cosmological implications. Surprisingly, we find some stable critical points which represent late-time dark energy-dominated era when a model parameter [Formula: see text] is equal to [Formula: see text]. We introduce a two-dimensional interactive autonomous system and after phase portrait analysis of it, we get several stable points which represent dark energy-dominated era and late-time cosmic acceleration simultaneously. Here, we also demonstrate the variation in interaction at vicinity of phantom barrier [Formula: see text]. From our work, we can also predict the future phase evolution of the universe.

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