Implementation of a generalized intermittency scenario in the Rossler dynamical system

TL;DR

This paper investigates a generalized intermittency scenario in the Rossler system, analyzing chaos transitions using phase space, Lyapunov exponents, and Poincare sections to understand complex chaotic attractor behaviors.

Contribution

It introduces and analyzes a generalized intermittency scenario for chaos transitions in the Rossler system, expanding understanding of chaotic attractor interactions.

Findings

Identification of generalized intermittency features in the Rossler system

Detailed analysis of chaos-chaos transitions using multiple methods

Characterization of phase-parametric and Lyapunov properties during transitions

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.