Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua’s circuits

By V. O. Bragin, Vladimir I. Vagaitsev, Nikolay V. Kuznetsov, Gennady A. Leonov. 2011

226 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2d5b493854da9d19a851e7ccfef10f99a41cccaa

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Nikolay V. Kuznetsov
2. Gennady A. Leonov
3. Svetlana M. Seledzhi
4. Vladimir I. Vagaitsev
5. Sajad Jafari
6. Julien Clinton Sprott
7. Tomasz Kapitaniak

In Geometry and Topology

1. Gennady A. Leonov
2. Nikolay V. Kuznetsov

In Statistical and Nonlinear Physics

1. Nikolay V. Kuznetsov
2. Gennady A. Leonov
3. Svetlana M. Seledzhi
4. Vladimir I. Vagaitsev
5. Sajad Jafari
6. Julien Clinton Sprott
7. Tomasz Kapitaniak
8. Awadhesh Prasad

Citations in the corpus

• Hidden attractor in smooth Chua systems (2012, background): “In 50-60’s of last century the investigations of widely known Markus-Yamabe’s [11], Aizerman’s [12], and Kalman’s [13] conjectures on absolute stability, have led to the finding of hidden oscillations in dynamical model of automatic control systems with scalar piecewise-linear nonlinearity, which be”
• Hidden oscillations in dynamical systems (2011, methodology): “The methods for the proof of this theorem are developed in [26,16,32,33].”