ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

spiral attractor

On homoclinic attractors of three-dimensional flows

The main goal is to construct a classification of such attractors and to distinguish among them the classes of pseudohyperbolic attractors which chaotic dynamics is preserved under perturbations of the system.

Self-­sustained oscillations in quasiharmonic and chaotic oscillators in the presence of fluctuations

The paper presents the results of the classical theory of fluctuations in the quasiharmonic van der Pol oscillator. Stochastic equations for amplitude and phase of selfsustained oscillations are formulated and then their solutions are analyzed. The autocorrelation function and power spectrum of noisy self-sustained oscillations are studied. Then the spectral and correlations characteristics of chaotic self-sustained oscillations are numerically analyzed in spiral chaos oscillators.