Algebraic scheme of discrete approximations of linear and nonlinear dynamical systems of mathematical physics

1989 ◽  
Vol 40 (4) ◽  
pp. 388-392 ◽  
Author(s):  
Yu. A. Mitropol'skii ◽  
A. K. Prikarpatskii ◽  
V. Gr. Samoilenko
Keyword(s):  
Dynamical Systems ◽  
Nonlinear Dynamical Systems ◽  
Mathematical Physics ◽  
Discrete Approximations ◽  
Nonlinear Dynamical ◽  
Linear And Nonlinear ◽  
Algebraic Scheme

Frequency domain conditions for the robust stability of linear and nonlinear dynamical systems

1991 ◽  
Vol 38 (4) ◽  
pp. 389-397 ◽  
Author(s):  
S. Dasgupta ◽  
P.J. Parker ◽  
B.D.O. Anderson ◽  
F.J. Kraus ◽  
M. Mansour
Keyword(s):  
Dynamical Systems ◽  
Frequency Domain ◽  
Robust Stability ◽  
Nonlinear Dynamical Systems ◽  
Nonlinear Dynamical ◽  
Linear And Nonlinear

Putting the process in developmental processes

2000 ◽  
Vol 24 (3) ◽  
pp. 295-300 ◽  
Author(s):  
John R. Nesselroade ◽  
Karen M. Schmidt McCollam
Keyword(s):  
Dynamical Systems ◽  
Systems Thinking ◽  
Nonlinear Dynamical Systems ◽  
Developmental Processes ◽  
Nonlinear Dynamical ◽  
Meta Model ◽  
Mathematical Representations ◽  
Design Considerations ◽  
Systems Models ◽  
Linear And Nonlinear

Several signs point to a strengthening of our capabilities for rigorously modelling developmental processes and other kinds of changes. The indicators of progress range from stronger formulations of “systems thinking” and definitions through measurement and design considerations to advanced mathematical representations, such as linear and nonlinear dynamical systems models. We believe these advances offer major improvements for the treatment of process and related concepts as they have evolved thus far largely within the meta-model of stability and equilibrium that has dominated much of science (Holling, 1973). These issues are summarised and some of the promising innovations that we believe will make the coming decades highly productive ones for the study of development will be discussed.

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