18th Annual Spring Meeting: Division of Psychoanalysis (39). Psychoanalysis and Sexuality: Reflections of an Old Love Affair. Summaries: Theoretical. Nonlinear Dynamic Systems and Deterministic Chaos: Conceptual Advances or Aesthetically Pleasing Distractions?

1998 ◽  
Author(s):  
Craig Piers
Keyword(s):  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Deterministic Chaos ◽  
Nonlinear Dynamic Systems ◽  
Love Affair ◽  
Spring Meeting

DETERMINISTIC CHAOS SEEN IN TERMS OF FEEDBACK CIRCUITS: ANALYSIS, SYNTHESIS, "LABYRINTH CHAOS"

1999 ◽  
Vol 09 (10) ◽  
pp. 1889-1905 ◽  
Author(s):  
R. THOMAS
Keyword(s):  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Jacobian Matrix ◽  
Deterministic Chaos ◽  
Steady States ◽  
Nonlinear Dynamic Systems ◽  
Limit Case ◽  
Differential Systems ◽  
Feedback Circuits ◽  
Unstable Steady States

This paper aims to show how complex nonlinear dynamic systems can be classified, analyzed and synthesized in terms of feedback circuits. The Rössler equations for deterministic chaos are revisited and generalized in this perspective. It is shown that once a proper set of feedback circuits is present in the Jacobian matrix of the system, the chaotic character of trajectories is remarkably robust versus changes in the nature of the nonlinearities. "Labyrinth chaos", whereby simple differential systems generate large lattices of many unstable steady states embedded in a chaotic attractor, is constructed using this technique. In the limit case of a single three-element circuit without diagonal elements, one finds systems possessing an infinite lattice of unstable steady states between which trajectories percolate in a deterministic chaotic way.

Model Checking Control Software for Nonlinear Dynamic Systems

2008 ◽  
Author(s):  
James Kapinski ◽  
Alexandre Donze ◽  
Flavio Lerda ◽  
Hitashyam Maka ◽  
Edmund Clarke ◽  
...  
Keyword(s):  
Model Checking ◽  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Systems ◽  
Control Software

Emulation of Ensembles of Nonlinear Dynamic Systems in Ultrawideband Active Wireless Direct Chaotic Networks

2018 ◽  
Vol 7 (3) ◽  
pp. 38-49
Author(s):  
Yu.V. Andreyev ◽  
◽  
M.Yu. Gerasimov ◽  
A.S. Dmitriev ◽  
R.Yu. Yemelyanov ◽  
...  
Keyword(s):  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Systems

scholarly journals Developing a deep learning estimator to learn nonlinear dynamic systems

2020 ◽  
Vol 53 (2) ◽  
pp. 158-163
Author(s):  
Kai Wang ◽  
Junghui Chen ◽  
Yalin Wang
Keyword(s):  
Deep Learning ◽  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Systems

Numerical algorithm for the Mayer problem for nonlinear dynamic systems

1991 ◽  
Vol 54 (2) ◽  
pp. 847-853
Author(s):  
V. A. Bazhenov ◽  
V. I. Gulyaev ◽  
V. L. Koshkin ◽  
I. V. Yarmolenko
Keyword(s):  
Numerical Algorithm ◽  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Systems ◽  
Mayer Problem
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