Skip to search formSkip to main contentSkip to account menu
Time-Varying Linearization and the Perron Effects
In the present survey, the contemporary state of the art of the problem of the justification of nonstationary linearizations is presented.
View via Publisher
Localization of hidden Chuaʼs attractors
View via Publisher
Hidden attractors in Dynamical Systems. From Hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman Problems to Hidden Chaotic Attractor in Chua Circuits
TLDR
The problem of investigating hidden oscillations arose in the second part of Hilbert's 16th problem (1900), and the first nontrivial results were obtained in Bautin's works, which revealed no similar transient processes leading to such attractors.
View via Publisher
Hold-In, Pull-In, and Lock-In Ranges of PLL Circuits: Rigorous Mathematical Definitions and Limitations of Classical Theory
TLDR
It is shown that, from a mathematical point of view, in some cases the hold-in and pull-in “ranges” may not be the intervals of values but a union of intervals and thus their widely used definitions require clarification.
View on IEEE
Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua’s circuits
An algorithm for searching hidden oscillations in dynamic systems is developed to help solve the Aizerman’s, Kalman’s and Markus-Yamabe’s conjectures well-known in control theory. The first step of…
View on Springer
Hidden attractors in dynamical systems
View via Publisher
Algorithm for localizing Chua attractors based on the harmonic linearization method
The method of harmonic linearization, numerical methods, and the applied bifurcation theory together discover new opportunities for analysis of hidden attractors of control systems. In the present…
View on Springer
Hidden attractor in smooth Chua systems
View via Publisher
Hidden oscillations in dynamical systems
The classical attractors of Lorenz, Rossler, Chua, Chen, and other widely-known attractors are those excited from unstable equilibria. From computational point of view this allows one to use…
Analytical-numerical method for attractor localization of generalized Chua's system
TLDR
The method of harmonic linearization, numerical methods, and the applied bifurcation theory together discover new opportunities for analysis of periodic oscillations of control systems and application of this technique for attractor localization of generalized Chua's systems is given.
View via Publisher
...
...
By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy, Terms of Service, and Dataset License