scholarly journals New Systematic Solution for Resolving Nonlinear Dynamics Using System Analytical Theory Based on Engineering Science

2021 ◽  
Vol 15 (6) ◽  
pp. 46
Author(s):  
Deok-soo Cha ◽  
Kyoung-il Kim
Keyword(s):  
Nonlinear Dynamics ◽  
Systems Thinking ◽  
Statistical Physics ◽  
Open Loop ◽  
Economic Systems ◽  
Analytic Method ◽  
Engineering Science ◽  
Engineering Systems ◽  
Physical Sciences ◽  
Systematic Solution

There are many nonlinear dynamics in field of non-physical sciences, such as the food chain, economic systems, or engineering systems with the characteristics of closed or open-loop systems. The problems arising from this have been resolved by the outdated chaos theory in statistical physics based on the paradigm of logical thinking. However, it was founded by classical physicists, and it is imperfect and vague, moreover, very difficult for others. Therefore, we require a perfect systematic solution based on systems thinking, such as systems analytical methods in engineering science. Surprisingly, in 2021, a non-physicist, on behalf of a physicist, has successfully resolved the problems and achieved a new solution based on systems thinking through interdisciplinary research; moreover, it has been published. Unfortunately, most physicists do not welcome it because they have no experience and it is disadvantageous to them like the Copernican theory. In addition, they have no ability to evaluate the new solution because they do not know the analytic method. Nevertheless, non-physicists are greatly welcome it, thus, there is no problem in it. Hence, non-physicists will verify it using MATLAB or simulator and apply it to all science, on behalf of physicists. If so, non-physicists will have both a logical solution and a systematic solution for resolving nonlinear dynamics.

Physical Sciences for Nonphysical Problems

2020 ◽  
pp. 253-268
Author(s):  
Lazaros K. Gallos
Keyword(s):  
Nonlinear Dynamics ◽  
Cardiovascular Diseases ◽  
Control Theory ◽  
Health Outcomes ◽  
Human Disease ◽  
Statistical Physics ◽  
Noncommunicable Diseases ◽  
Physical Sciences ◽  
Complex Population ◽  
And Control

To begin understanding noncommunicable diseases in a population, researchers must understand how people are connected to each other, how they interact with each other, and if there are external influences. Heterogeneity and complexity in human disease suggest new methodological and analytical ways in which the physical sciences can assist research in areas such as obesity, cardiovascular diseases, psychiatric disorders, or cancer. As it is becoming clear that human morbid states are not strictly deterministic diseases, this chapter overviews how statistical physics and nonlinear dynamics (e.g., percolation, cascades, control theory) grounded in stochastic approaches can contribute to the delineation and control of an array of complex population health outcomes.

DEVELOPMENT OF THERAPEUTIC BRAIN STIMULATION TECHNIQUES WITH METHODS FROM NONLINEAR DYNAMICS AND STATISTICAL PHYSICS

2006 ◽  
Vol 16 (07) ◽  
pp. 1889-1911 ◽  
Author(s):  
PETER A. TASS ◽  
CHRISTIAN HAUPTMANN ◽  
OLEKSANDR V. POPOVYCH
Keyword(s):  
Nonlinear Dynamics ◽  
Parkinson’S Disease ◽  
Parkinson's Disease ◽  
Essential Tremor ◽  
Brain Stimulation ◽  
Brain Function ◽  
Statistical Physics ◽  
Delayed Feedback ◽  
Phase Resetting ◽  
Feedback Mechanisms

Synchronization processes may severely impair brain function, for instance, in Parkinson's disease, essential tremor or epilepsies. We present three different effectively desynchronizing stimulation techniques which have been developed with methods from nonlinear dynamics and statistical physics. These techniques exploit either stochastic phase resetting principles or complex delayed feedback mechanisms. We explain how these methods work and how they can be applied to therapeutic brain stimulation.

scholarly journals On the nonlinear dynamics of a rotor in autorotation: a combined experimental and numerical approach

2015 ◽  
Vol 373 (2051) ◽  
pp. 20140411 ◽  
Author(s):  
D. Rezgui ◽  
M. H. Lowenberg
Keyword(s):  
Nonlinear Dynamics ◽  
Experimental Testing ◽  
Simple Procedure ◽  
Numerical Approach ◽  
Numerical Continuation ◽  
Engineering Systems ◽  
Systematic Assessment ◽  
Instability Problem ◽  
Physical Testing ◽  
Periodic Behaviour

This article presents a systematic assessment of the use of numerical continuation and bifurcation techniques in investigating the nonlinear periodic behaviour of a teetering rotor operating in forward autorotation. The aim is to illustrate the potential of these tools in revealing complex blade dynamics, when used in combination (not necessarily at the same time) with physical testing. We show a simple procedure to promote understanding of an existing but not fully understood engineering instability problem, when uncertainties in the numerical modelling and constraints in the experimental testing are present. It is proposed that continuation and bifurcation methods can play a significant role in developing numerical and experimental techniques for studying the nonlinear dynamics not only for rotating blades but also for other engineering systems with uncertainties and constraints.

Sign in / Sign up

Export Citation Format

Share Document