Two-parameter experimental investigation of co-existing oscillation modes in torus breakdown

1995 ◽  
Vol 38 (11) ◽  
pp. 780-785
Author(s):  
A. V. Andrushkevich ◽  
A. A. Kipchatov ◽  
L. V. Krasichkov ◽  
A. A. Koronovsky
2019 ◽  
Vol 51 (6) ◽  
pp. 817-827
Author(s):  
R. P. Pridorozhnyi ◽  
A. P. Zinkovskii ◽  
V. M. Merkulov ◽  
A. V. Sheremet’ev ◽  
R. Yu. Shakalo

2021 ◽  
Vol 31 (10) ◽  
pp. 2130029
Author(s):  
Luísa Castro ◽  
Alexandre Rodrigues

There are few explicit examples in the literature of vector fields exhibiting observable chaos that may be proved analytically. This paper reports numerical experiments performed for an explicit two-parameter family of [Formula: see text]-symmetric vector fields whose organizing center exhibits an attracting heteroclinic network linking two saddle-foci. Each vector field in the family is the restriction to [Formula: see text] of a polynomial vector field in [Formula: see text]. We investigate global bifurcations due to symmetry-breaking and we detect strange attractors via a mechanism called Torus-Breakdown. We explain how an attracting torus gets destroyed by following the changes in the unstable manifold of a saddle-focus. Although a complete understanding of the corresponding bifurcation diagram and the mechanisms underlying the dynamical changes is out of reach, we uncover complex patterns for the symmetric family under analysis, using a combination of theoretical tools and computer simulations. This article suggests a route to obtain rotational horseshoes and strange attractors; additionally, we make an attempt to elucidate some of the bifurcations involved in an Arnold tongue.


Author(s):  
Z. Y. Lin ◽  
X. F. Peng ◽  
X. D. Wang

An experimental investigation was conducted to describe the oscillation behavior of water droplets on solid surfaces as air flew through over the droplets, and the dynamical process was recorded using a high-speed CCD. Two liquid drop oscillation modes, forward-backward and upward-downward, and their mutual conversion were visually observed. Accounting for the internal flow and pressure distribution inside a liquid drop, a phenomenological explanation was proposed to understand the oscillation characteristics of two modes and the mutual conversion mechanisms.


1966 ◽  
Vol 24 ◽  
pp. 77-90 ◽  
Author(s):  
D. Chalonge

Several years ago a three-parameter system of stellar classification has been proposed (1, 2), for the early-type stars (O-G): it was an improvement on the two-parameter system described by Barbier and Chalonge (3).


2001 ◽  
Vol 32 (3) ◽  
pp. 133-141 ◽  
Author(s):  
Gerrit Antonides ◽  
Sophia R. Wunderink

Summary: Different shapes of individual subjective discount functions were compared using real measures of willingness to accept future monetary outcomes in an experiment. The two-parameter hyperbolic discount function described the data better than three alternative one-parameter discount functions. However, the hyperbolic discount functions did not explain the common difference effect better than the classical discount function. Discount functions were also estimated from survey data of Dutch households who reported their willingness to postpone positive and negative amounts. Future positive amounts were discounted more than future negative amounts and smaller amounts were discounted more than larger amounts. Furthermore, younger people discounted more than older people. Finally, discount functions were used in explaining consumers' willingness to pay for an energy-saving durable good. In this case, the two-parameter discount model could not be estimated and the one-parameter models did not differ significantly in explaining the data.


2014 ◽  
Author(s):  
Shane Close ◽  
Victoria Adkins ◽  
Kandice Perry ◽  
Katheryn Eckles ◽  
Jill Brown ◽  
...  

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