Smooth Dynamics of Weakly Damped Lamé Systems with Delay

2021 ◽  
Vol 53 (4) ◽  
pp. 3759-3771
Author(s):  
To Fu Ma ◽  
Jaqueline G. Mesquita ◽  
Paulo N. Seminario-Huertas
Keyword(s):  
Smooth Dynamics

Topological and Smooth Dynamics on Surfaces

2021 ◽  
Vol 17 (2) ◽  
pp. 1385-1387
Author(s):  
Tobias Jäger ◽  
Andres Koropecki ◽  
Sonja Štimac ◽  
Fabio Tal
Keyword(s):  
Smooth Dynamics

Static Friction Models for Vehicle Simulation Study

2006 ◽  
Author(s):  
Xubin Song ◽  
Daniel G. Smedley
Keyword(s):  
Simulation Study ◽  
Static Friction ◽  
Friction Modeling ◽  
Stick Slip ◽  
Vehicle Simulation ◽  
Engineering Software ◽  
Variable Step ◽  
History Of ◽  
Friction Models ◽  
Smooth Dynamics

The history of the challenge of friction modeling is briefly reviewed. Then this paper focuses on the modeling and simulation study of the friction related dynamics in the Simulink® environment, because Matlab®/Simulink® are popular engineering software tools for both industry and academia. Matlab® and Simulink® are the proprietary products of MathWorks, Inc. In this paper, the static friction models are studied through Simulink® by applying fixed and variable step sizes. The comparison shows that the static Karnopp model is not only numerically tractable but also can be inclusive of the fundamental friction characteristics of both stick slip and correct friction predictions. Finally this paper presents an improved Karnopp model for clutch modeling with the use of Simulink®, and the simulation shows that this model is computationally tractable with smooth dynamics.

scholarly journals Self-similar constructions in smooth dynamics: Rigidity, smoothness and dimension

1992 ◽  
Vol 150 (1) ◽  
pp. 45-58 ◽  
Author(s):  
Jean-Marc Gambaudo ◽  
Charles Tresser
Keyword(s):  
Self Similar ◽  
Smooth Dynamics

Non-Smooth Dynamics and Non-Classical Bifurcations in Impulse-Impact Oscillators

1999 ◽  
Author(s):  
Stefano Lenci ◽  
Giuseppe Rega
Keyword(s):  
Local Level ◽  
Basins Of Attraction ◽  
Dynamical Regime ◽  
Impact Oscillator ◽  
Stable And Unstable Manifolds ◽  
Impact Oscillators ◽  
Unstable Manifolds ◽  
Local And Global Bifurcations ◽  
Initial Description ◽  
Smooth Dynamics

Abstract Some aspects of the nonlinear dynamics of an impulse-impact oscillator are investigated. After an initial description of the prototype mechanical model used to illustrate the results, attention is paid to the classical local and global bifurcations which are at the base of the changes of dynamical regime. Some non-classical phenomena due to the particular nature of the investigated system are then considered. At a local level, it is shown that periodic solutions may appear (or disappear) through a non-classical bifurcation which involves synchronization of impulses and impacts. Similarities and differences with the classical bifurcations are discussed. At a global level, the effects of the non-continuity of the orbits in the phase space on the basins of attraction topology are investigated. It is shown how this property is at the base of a non-classical homoclinic bifurcation where the homoclinic points disappear after the first touch between the stable and unstable manifolds.

scholarly journals Smooth Dynamics for Distributed Constrained Optimization With Heterogeneous Delays

2020 ◽  
Vol 4 (3) ◽  
pp. 626-631 ◽  
Author(s):  
Mengmou Li ◽  
Shunya Yamashita ◽  
Takeshi Hatanaka ◽  
Graziano Chesi
Keyword(s):  
Constrained Optimization ◽  
Heterogeneous Delays ◽  
Smooth Dynamics

scholarly journals Machine-learned patterns suggest that diversification drives economic development

2020 ◽  
Vol 17 (162) ◽  
pp. 20190283 ◽  
Author(s):  
Charles D. Brummitt ◽  
Andrés Gómez-Liévano ◽  
Ricardo Hausmann ◽  
Matthew H. Bonds
Keyword(s):  
Economic Growth ◽  
Social Systems ◽  
Theoretical Models ◽  
Machine Learning Techniques ◽  
Product Complexity ◽  
Middle Income ◽  
Middle Income Countries ◽  
Learning Techniques ◽  
Extra Weight ◽  
Smooth Dynamics

We combine a sequence of machine-learning techniques, together called Principal Smooth-Dynamics Analysis (PriSDA), to identify patterns in the dynamics of complex systems. Here, we deploy this method on the task of automating the development of new theory of economic growth. Traditionally, economic growth is modelled with a few aggregate quantities derived from simplified theoretical models. PriSDA, by contrast, identifies important quantities. Applied to 55 years of data on countries’ exports, PriSDA finds that what most distinguishes countries’ export baskets is their diversity, with extra weight assigned to more sophisticated products. The weights are consistent with previous measures of product complexity. The second dimension of variation is proficiency in machinery relative to agriculture. PriSDA then infers the dynamics of these two quantities and of per capita income. The inferred model predicts that diversification drives growth in income, that diversified middle-income countries will grow the fastest, and that countries will converge onto intermediate levels of income and specialization. PriSDA is generalizable and may illuminate dynamics of elusive quantities such as diversity and complexity in other natural and social systems.

Dimension estimates in smooth dynamics: a survey of recent results

2010 ◽  
Vol 31 (03) ◽  
pp. 641-671 ◽  
Author(s):  
LUIS BARREIRA ◽  
KATRIN GELFERT
Keyword(s):  
Smooth Dynamics
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