A note on dynamics of interval extensions of interval functions

2015 ◽  
Author(s):  
H. Roman-Flores ◽  
Y. Chalco-Cano
Keyword(s):  
Interval Extensions ◽  
Interval Functions

A Very Simple Method to Calculate the (Positive) Largest Lyapunov Exponent Using Interval Extensions

2016 ◽  
Vol 26 (13) ◽  
pp. 1650226 ◽  
Author(s):  
Eduardo M. A. M. Mendes ◽  
Erivelton G. Nepomuceno
Keyword(s):  
Lyapunov Exponent ◽  
Lower Bound ◽  
Equations Of Motion ◽  
Original System ◽  
Glass System ◽  
Largest Lyapunov Exponent ◽  
Simple Method ◽  
Interval Extensions

In this letter, a very simple method to calculate the positive Largest Lyapunov Exponent (LLE) based on the concept of interval extensions and using the original equations of motion is presented. The exponent is estimated from the slope of the line derived from the lower bound error when considering two interval extensions of the original system. It is shown that the algorithm is robust, fast and easy to implement and can be considered as alternative to other algorithms available in the literature. The method has been successfully tested in five well-known systems: Logistic, Hénon, Lorenz and Rössler equations and the Mackey–Glass system.

scholarly journals Inverse limits with countably Markov interval functions

2016 ◽  
Vol 51 (2) ◽  
pp. 491-501 ◽  
Author(s):  
Matevž Črepnjak ◽  
◽  
Tjaša Lunder ◽  
Keyword(s):  
Inverse Limits ◽  
Interval Functions

Differential Eyelid Conditioning as a Function of CS-UCS Interval and Distance Separating the CSS

1969 ◽  
Vol 25 (2) ◽  
pp. 407-411
Author(s):  
W. E. Vandament
Keyword(s):  
Differential Conditioning ◽  
Eyelid Conditioning ◽  
Intertrial Interval ◽  
Spatial Discrimination ◽  
Interval Functions

Human Ss were given differential eyelid conditioning at CS-UCS intervals of 400, 600, and 800 msec. to visual CSs separated by 1.25 and 2.50 in. The CS outlines were not visible to S during the intertrial interval as they customarily are in spatial discrimination tasks. CS+ response levels increased with interval throughout the range employed with CS− levels increasing only through 600 msec. No differentiation was observed at 400 and 600 msec. intervals at either level of separation. These results indicate that CS-UCS interval functions in differential conditioning cannot be generally defined and must be related to the conditions employed in a given experiment.

SOME REMARKS ON INTERVAL FUNCTIONS

1967 ◽  
Vol 18 (1) ◽  
pp. 47-51 ◽  
Author(s):  
H. BURKILL
Keyword(s):  
Interval Functions
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