Chaotic Diffusion in Non-Dissipative Mappings

2021 ◽  
pp. 143-161
Author(s):  
Edson Denis Leonel
Keyword(s):  
Chaotic Diffusion

CHAOTIC DIFFUSION IN MULTIDIMENSIONAL CONSERVATIVE MAPS

2012 ◽  
Vol 22 (10) ◽  
pp. 1250237 ◽  
Author(s):  
PABLO M. CINCOTTA ◽  
CLAUDIA M. GIORDANO
Keyword(s):  
Phase Space ◽  
Dynamical Systems ◽  
Resonance Interaction ◽  
Chaotic Diffusion ◽  
Conservative Systems

In the present paper, we provide results and discussions concerning the processes that lead to local and global chaotic diffusion in the phase space of multidimensional conservative systems. We investigate and provide a measure of the extent of the domain over which diffusion may occur. All these issues are thoroughly discussed by dealing with a multidimensional conservative map that would be representative of the dynamics of a resonance interaction, which is an important mechanism in many dynamical systems.

scholarly journals Chaotic diffusion in the Gliese-876 planetary system

2016 ◽  
Vol 460 (1) ◽  
pp. 1094-1105 ◽  
Author(s):  
J. G. Martí ◽  
P. M. Cincotta ◽  
C. Beaugé
Keyword(s):  
Planetary System ◽  
Chaotic Diffusion

Chaotic diffusion and 1/f-noise of particles in two-dimensional solids

1988 ◽  
Vol 71 (1) ◽  
pp. 117-127 ◽  
Author(s):  
T. Geisel ◽  
A. Zacherl ◽  
G. Radons
Keyword(s):  
Two Dimensional ◽  
Chaotic Diffusion

scholarly journals Massive evaluation and analysis of Poincaré recurrences on grids of initial data: A tool to map chaotic diffusion

2020 ◽  
Vol 246 ◽  
pp. 106868 ◽  
Author(s):  
Ivan I. Shevchenko ◽  
Guillaume Rollin ◽  
Alexander V. Melnikov ◽  
José Lages
Keyword(s):  
Initial Data ◽  
Chaotic Diffusion

Resonances and chaos in the asteroid belt

1999 ◽  
Vol 173 ◽  
pp. 297-308
Author(s):  
M. Šidlichovský
Keyword(s):  
The Body ◽  
Asteroid Belt ◽  
Orbital Elements ◽  
Orbital Resonance ◽  
Chaotic Diffusion ◽  
Kirkwood Gaps ◽  
History Of ◽  
The Subject ◽  
Basic Facts ◽  
Three Body

AbstractThe present paper reviews the evolution of our understanding of the effect of resonances on the distribution of asteroids in the asteroid belt. The history of this problem goes back to the Kirkwood's discovery (1867) of the Kirkwood gaps located at resonances with Jupiter. We started to understand the mechanism of their origin only in last decades. It seems that only gravitational effects are sufficient for the depletion. It is now clear that the overlap of secular resonances inside the orbital resonance is the most effective mechanism leading to large chaos and variation of orbital elements. This results in the final removal of asteroids from the gaps by collisions with the inner planets. Chaos, however, does not always mean fast removal of the body. The question of the so called stable chaos will be discussed together with the offered explanations (the high order resonances and the so called three-body resonances). Recently it was shown that chaotic diffusion can play an important role for the 2/1 resonance where the aforementioned explanation for other gaps fails. Basic facts will be reviewed but we will not go into this problem as the importance of chaotic diffusion in dynamics of asteroids (and comets) will be the subject of invited lecture at this conference given by Morbidelli and Nesvorný.

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