SINGULARLY PERTURBED LOGISTIC DIFFERENCE EQUATION

2020 ◽  
Vol 10 (2) ◽  
pp. 943-948
Author(s):  
A. M. A. EL-Sayed ◽  
S. M. Salman ◽  
A. M. A. Abo-Bakr
Keyword(s):  
Difference Equation ◽  
Singularly Perturbed ◽  
Logistic Difference Equation

scholarly journals Oscillations in a nonautonomous delay logistic difference equation

1992 ◽  
Vol 35 (1) ◽  
pp. 121-131 ◽  
Author(s):  
Ch. G. Philos
Keyword(s):  
Difference Equation ◽  
Equilibrium Point ◽  
Positive Constant ◽  
Sufficient Conditions ◽  
Existence Of A Solution ◽  
Sharp Condition ◽  
All Solutions ◽  
Image Position ◽  
Positive Integers ◽  
Logistic Difference Equation

Consider the nonautonomous delay logistic difference equationwhere (pn)n≧0 is a sequence of nonnegative numbers, (ln)n≧0 is a sequence of positive integers with limn→∞(n−ln) = ∞ and K is a positive constant. Only solutions which are positive for n≧0 are considered. We established a sharp condition under which all solutions of (E0) are oscillatory about the equilibrium point K. Also we obtained sufficient conditions for the existence of a solution of (E0) which is nonoscillatory about K.

scholarly journals Complexity Theory, Nonlinear Dynamics, and Change: Augmenting Systems Theory

10.18060/137 ◽  
2007 ◽  
Vol 8 (1) ◽  
pp. 141-151 ◽  
Author(s):  
Ralph Woehle
Keyword(s):  
Nonlinear Dynamics ◽  
Social Work ◽  
Difference Equation ◽  
Systems Theory ◽  
Complexity Theory ◽  
Change Processes ◽  
Edge Of Chaos ◽  
Good Measurement ◽  
Logistic Difference Equation ◽  
Over Time

Social work change processes are addressed in terms of complexity theory and nonlinear dynamics, adding the edge-of-chaos, as well as chaos to the entropy and homeostasis of ecosystems theory. Complexity theory sees the edge-of-chaos as valuable to living systems.A logistic difference equation is utilized to model the nonlinear dynamics of the hypothetical contentment of an individual. The modeling suggests that substantial input would be required to move an individual from homeostasis to the beneficial stage at the edge-of-chaos, but that too much input might result in chaos.With good measurement and data observed over time, social work might benefit from complexity theory and nonlinear dynamics, which are already advancing in related disciplines.

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