Implementation of a generalized intermittency scenario in the Rossler dynamical system

Abstract

The realization of novel scenario involving transitions between different types of chaotic attractors is investigated for the Rossler system. Characteristic features indicative of the presence of generalized intermittency scenario in this system are identified. The properties of "chaos-chaos" transitions following the generalized intermittency scenario are analyzed in detail based on phase-parametric characteristics, Lyapunov characteristic exponents, phase portraits, and Poincare sections.

Figures (4)

• Figure 1: Phase-parametric characteristic a); maximal non-zero Lyapunov exponent b); distribution of the natural invariant measure at $m=5.58$ (c); at $m=5.59$ (d).
• Figure 2: Poincaré sections at $m=5.58$ (a), at $m=5.59$ (b)
• Figure 3: Phase-parametric characteristic (a), Maximal non-zero Lyapunov exponent (b) and projections of distribution of the natural invariant measure at $m=17.8$ (c), at $m=17.79$ (d)
• Figure 4: Phase-parametric characteristics(a-c) and fragment of distribution of invariant measure at $f=0.23082$ (d)