scholarly journals Short periodic orbit approach to resonances and the fractal Weyl law

2012 ◽  
Vol 85 (3) ◽  
Author(s):  
J. M. Pedrosa ◽  
D. Wisniacki ◽  
G. G. Carlo ◽  
M. Novaes
Keyword(s):  
Periodic Orbit ◽  
Weyl Law

The orbit of Pluto over a long interval of time

1966 ◽  
Vol 25 ◽  
pp. 227-229 ◽  
Author(s):  
D. Brouwer
Keyword(s):  
Periodic Orbit ◽  
Numerical Integration ◽  
Restricted Problem ◽  
Three Dimensional ◽  
The Third ◽  
Circular Restricted Problem ◽  
Resonance Relation

The paper presents a summary of the results obtained by C. J. Cohen and E. C. Hubbard, who established by numerical integration that a resonance relation exists between the orbits of Neptune and Pluto. The problem may be explored further by approximating the motion of Pluto by that of a particle with negligible mass in the three-dimensional (circular) restricted problem. The mass of Pluto and the eccentricity of Neptune's orbit are ignored in this approximation. Significant features of the problem appear to be the presence of two critical arguments and the possibility that the orbit may be related to a periodic orbit of the third kind.

Periodic orbit expansions for the Lorentz gas

1994 ◽  
Vol 75 (3-4) ◽  
pp. 553-584 ◽  
Author(s):  
Gary P. Morris ◽  
Lamberto Rondoni
Keyword(s):  
Periodic Orbit ◽  
Lorentz Gas

Periodic orbit expansions for classical smooth flows

1991 ◽  
Vol 24 (5) ◽  
pp. L237-L241 ◽  
Author(s):  
P Cvitanovic ◽  
B Eckhardt
Keyword(s):  
Periodic Orbit

BRAIN CHAOS AND COMPUTATION

1996 ◽  
Vol 07 (04) ◽  
pp. 461-471 ◽  
Author(s):  
AGNESSA BABLOYANTZ ◽  
CARLOS LOURENÇO
Keyword(s):  
Periodic Orbit ◽  
Cognitive Processes ◽  
Chaotic Dynamics

A model cortex comprising two interconnected spatiotemporal chaotic networks is considered. The system is able to discriminate between different patterns presented as input, and also detect motion and measure its velocity. Such cognitive processes are only possible if an “attentive” state arises in one of the networks, as a result of the stabilization of a periodic orbit out of the chaotic dynamics.

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