68 citations
4 papers
Numerical test for hyperbolicity in chaotic systems with multiple time delays
Pavel V. Kuptsov, Sergey P. Kuznetsov
We develop an extension of the fast method of angles for hyperbolicity verification in chaotic systems with an arbitrary number of time-delay feedback loops. The adopted method is…
Generalized synchronization in mutually coupled oscillators and complex networks
Olga Moskalenko, Alexey Koronovskii, Alexander Hramov +1
We introduce a novel concept of generalized synchronization, able to encompass the setting of collective synchronized behavior for mutually coupled systems and networking systems f…
Computation of the spectrum of spatial Lyapunov exponents for the spatially extended beam-plasma systems and electron-wave devices
Alexander E. Hramov, Alexey A. Koronovskii, Vladimir A. Maximenko +1
The spectrum of Lyapunov exponents is powerful tool for the analysis of the complex system dynamics. In the general framework of nonlinear dynamical systems a number of the numeric…
Effect of Self-Magnetic Fields on the Nonlinear Dynamics of Relativistic Electron Beam with Virtual Cathode
A. E. Hramov, S. A. Kurkin, A. A. Koronovskii +1
The report is devoted to the results of the numerical study of the virtual cathode formation conditions in the relativistic electron beam under the influence of the self-magnetic a…