Hidden attractors on one path: Glukhovsky-Dolzhansky, Lorenz, and Rabinovich systems

Abstract

In this report, by the numerical continuation method we visualize and connect hidden chaotic sets in the Glukhovsky-Dolzhansky, Lorenz and Rabinovich systems using a certain path in the parameter space of a Lorenz-like system.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1504.04723

References in corpus (5)

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• Graphical structure of attraction basins of hidden attractors: the Rabinovich-Fabrikant system
• Numerical analysis of dynamical systems: unstable periodic orbits, hidden transient chaotic sets, hidden attractors, and finite-time Lyapunov dimension
• Finite-time and exact Lyapunov dimension of the Henon map
• The Gardner problem and cycle slipping bifurcation for type 2 phase-locked loops