scholarly journals Regular and chaotic motion domains in the channeling electron's phase space and mean level density for its transverse motion energy

2019 ◽  
Vol 14 (12) ◽  
pp. C12022-C12022
Author(s):  
N.F. Shul'ga ◽  
V.V. Syshchenko ◽  
A.I. Tarnovsky ◽  
V.I. Dronik ◽  
A.Yu. Isupov
Keyword(s):  
Phase Space ◽  
Chaotic Motion ◽  
Level Density ◽  
Transverse Motion ◽  
Motion Energy ◽  
Regular And Chaotic Motion

THE INTERPLAY BETWEEN REGULAR AND CHAOTIC MOTION IN NUCLEI

1987 ◽  
Vol 02 (04) ◽  
pp. 233-237 ◽  
Author(s):  
I. ROTTER
Keyword(s):  
Chaotic Motion ◽  
Level Density ◽  
Quantum Mechanical ◽  
Nuclear System ◽  
Dissipative Forces ◽  
Open Quantum ◽  
Low Level ◽  
Regular Motion ◽  
Regular And Chaotic Motion ◽  
High Level

The regular motion of nucleons in the low-lying nuclear states and the chaotic motion in the compound nuclei are shown to arise from the interplay of conservative and dissipative forces in the open quantum mechanical nuclear system. The regularity at low level density is caused by selforganization in a conservative field of force. At high level density, chaoticity appears since information on the environment is transferred into the system by means of dissipative forces.

scholarly journals Conditional Entropy: A Tool to Explore the Phase Space

1999 ◽  
Vol 172 ◽  
pp. 195-209
Author(s):  
P. Cincotta ◽  
C. Simó
Keyword(s):  
Phase Space ◽  
Chaotic Motion ◽  
Conditional Entropy ◽  
Characteristic Number ◽  
Random Variable ◽  
Arc Length ◽  
Unstable Periodic Orbits ◽  
Long Time ◽  
Stable Periodic ◽  
Lyapunov Characteristic Number

AbstractIn this paper we show that the Conditional Entropy of nearby orbits may be a useful tool to explore the phase space associated to a given Hamiltonian. The arc length parameter along the orbits, instead of the time, is used as a random variable to compute the entropy. In the first part of this work we summarise the main analytical results to support this tool while, in the second part, we present numerical evidence that this technique is able to localise (stable) periodic and quasiperiodic orbits, ‘aperiodic’ orbits (chaotic motion) and unstable periodic orbits (the ‘source’ of chaotic motion). Besides, we show that this technique provides a measure of chaos which is similar to that given by the largest Lyapunov Characteristic Number. It is important to remark that this method is very simple to compute and does not require long time integrations, just realistic physical times.

Regular and chaotic motion of coupled rotators

1983 ◽  
Vol 9 (3) ◽  
pp. 433-438 ◽  
Author(s):  
Mario Feingold ◽  
Asher Peres
Keyword(s):  
Chaotic Motion ◽  
Regular And Chaotic Motion ◽  
Coupled Rotators

scholarly journals Regular and chaotic motion of high altitude satellites

2007 ◽  
Vol 40 (1) ◽  
pp. 134-142 ◽  
Author(s):  
I. Wytrzyszczak ◽  
S. Breiter ◽  
W. Borczyk
Keyword(s):  
High Altitude ◽  
Chaotic Motion ◽  
Regular And Chaotic Motion
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