Dynamical System Exploration of the Hurst Phenomenon in Simple Climate Models

2012 ◽  
pp. 209-229 ◽  
Author(s):  
O. J. Mesa ◽  
V. K. Gupta ◽  
P. E. O'Connell
Keyword(s):  
Dynamical System ◽  
Climate Models

Hurricane dynamics and rapid intensification via dynamical systems indicators

2021 ◽  
Author(s):  
Davide Faranda ◽  
Gabriele Messori ◽  
Pascal Yiou ◽  
Soulivanh Thao ◽  
Flavio Pons ◽  
...  
Keyword(s):  
Dynamical System ◽  
Climate Models ◽  
Numerical Models ◽  
Atmospheric Dynamics ◽  
Rapid Intensification ◽  
Rotational Mode ◽  
Chaotic Dynamical System ◽  
Dynamical Properties ◽  
Low Dimensional ◽  
Bose Einstein

<p>Although the lifecycle of hurricanes is well understood, it is a struggle to represent their dynamics in numerical models, under both present and future climates. We consider the atmospheric circulation as a chaotic dynamical system, and show that the formation of a hurricane corresponds to a reduction of the phase space of the atmospheric dynamics to a low-dimensional state. This behavior is typical of Bose-Einstein condensates. These are states of the matter where all particles have the same dynamical properties. For hurricanes, this corresponds to a "rotational mode" around the eye of the cyclone, with all air parcels effectively behaving as spins oriented in a single direction. This finding paves the way for new parametrisations when simulating hurricanes in numerical climate models.</p>

Chaos and Creativity: The Psique as a Complex Dynamical System Creativiy and Arquetipal Psychology

2012 ◽  
Author(s):  
Magaly Villaobos ◽  
Yolanda Ng Lee ◽  
Maria Elena Gutierrez
Keyword(s):  
Dynamical System ◽  
Complex Dynamical System

On the Harmonic Oscillations for the Motion of a Dynamical System

2017 ◽  
Vol 13 (2) ◽  
pp. 4657-4670
Author(s):  
W. S. Amer
Keyword(s):  
Dynamical System ◽  
Numerical Solutions ◽  
Equation Of Motion ◽  
Parameter Method ◽  
Kutta Method ◽  
Small Parameter Method ◽  
Harmonic Oscillations ◽  
Pivot Point ◽  
Runge Kutta Method ◽  
High Consistency

This work touches two important cases for the motion of a pendulum called Sub and Ultra-harmonic cases. The small parameter method is used to obtain the approximate analytic periodic solutions of the equation of motion when the pivot point of the pendulum moves in an elliptic path. Moreover, the fourth order Runge-Kutta method is used to investigate the numerical solutions of the considered model. The comparison between both the analytical solution and the numerical ones shows high consistency between them.

Prediction of Solutions of the Duffing System with Tuned Mass Damper

2020 ◽  
Vol 22 (4) ◽  
pp. 983-990
Author(s):  
Konrad Mnich
Keyword(s):  
Dynamical System ◽  
Duffing Oscillator ◽  
Probabilistic Approach ◽  
Nonlinear Dynamical System ◽  
Tuned Mass Damper ◽  
Nonlinear Dynamical ◽  
Duffing System ◽  
Mass Damper ◽  
Basin Stability ◽  
Stability Concept

AbstractIn this work we analyze the behavior of a nonlinear dynamical system using a probabilistic approach. We focus on the coexistence of solutions and we check how the changes in the parameters of excitation influence the dynamics of the system. For the demonstration we use the Duffing oscillator with the tuned mass absorber. We mention the numerous attractors present in such a system and describe how they were found with the method based on the basin stability concept.

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