Add to ORKGAbstract. The method of harmonic linearization and describing function method, numerical methods, and the applied bifurcation theory together discover new opportunities for analysis of hidden periodic oscillations (with basin of attraction which does not contain neighborhoods of equilibria) of control systems. In the present paper new algorithms for construction of counterexamples to Aizerman’s conjecture and Kalman’s conjecture is suggested
In this paper, two different methods to compute the period-doubling route to chaos (or Feigenbaum ch...
Abstract. The method of harmonic linearization, numerical methods, and the applied bifurcation theor...
The article is devoted to the parametrical analysis of periodic and chaotic oscillations in the nonl...
In the paper counterexamples to the Kalman conjecture with smooth nonlinearity basing on the Fitts s...
The Aizerman and Kalman conjectures played an important role in the theory of global stability for c...
Abstract. The method of harmonic linearization, numerical methods, and the applied bifurcation the-o...
Abstract:- The classical attractors of Lorenz, Rössler, Chua, Chen, and other widely-known attracto...
In this paper, an automatic control discrete-time system of the second order is studied. Nonlineari...
THE MAIN GOAL OF THIS THESIS IS TO DEVELOP AND USE ANALYTICAL AS WELL AS NUMERICAL METHODS STUDYI...
THE MAIN GOAL OF THIS THESIS IS TO DEVELOP AND USE ANALYTICAL AS WELL AS NUMERICAL METHODS STUDYI...
THE MAIN GOAL OF THIS THESIS IS TO DEVELOP AND USE ANALYTICAL AS WELL AS NUMERICAL METHODS STUDYI...
Using a decomposition of a Lurie system in terms of symmetric and skew-symmetric matrices, this pape...
In this article, on the example of the known low-order dynamical models, namely Lorenz, Rössler and ...
Limit cycles or, more general, periodic solutions of nonlinear dynamical systems occur in many diffe...
The classical prediction problem is analyzed via a geometric approach rather than measure theoretic ...
In this paper, two different methods to compute the period-doubling route to chaos (or Feigenbaum ch...
Abstract. The method of harmonic linearization, numerical methods, and the applied bifurcation theor...
The article is devoted to the parametrical analysis of periodic and chaotic oscillations in the nonl...
In the paper counterexamples to the Kalman conjecture with smooth nonlinearity basing on the Fitts s...
The Aizerman and Kalman conjectures played an important role in the theory of global stability for c...
Abstract. The method of harmonic linearization, numerical methods, and the applied bifurcation the-o...
Abstract:- The classical attractors of Lorenz, Rössler, Chua, Chen, and other widely-known attracto...
In this paper, an automatic control discrete-time system of the second order is studied. Nonlineari...
THE MAIN GOAL OF THIS THESIS IS TO DEVELOP AND USE ANALYTICAL AS WELL AS NUMERICAL METHODS STUDYI...
THE MAIN GOAL OF THIS THESIS IS TO DEVELOP AND USE ANALYTICAL AS WELL AS NUMERICAL METHODS STUDYI...
THE MAIN GOAL OF THIS THESIS IS TO DEVELOP AND USE ANALYTICAL AS WELL AS NUMERICAL METHODS STUDYI...
Using a decomposition of a Lurie system in terms of symmetric and skew-symmetric matrices, this pape...
In this article, on the example of the known low-order dynamical models, namely Lorenz, Rössler and ...
Limit cycles or, more general, periodic solutions of nonlinear dynamical systems occur in many diffe...
The classical prediction problem is analyzed via a geometric approach rather than measure theoretic ...
In this paper, two different methods to compute the period-doubling route to chaos (or Feigenbaum ch...
Abstract. The method of harmonic linearization, numerical methods, and the applied bifurcation theor...
The article is devoted to the parametrical analysis of periodic and chaotic oscillations in the nonl...