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

## TL;DR

This paper visualizes hidden chaotic attractors in three Lorenz-like systems by numerically connecting them through a specific parameter path, enhancing understanding of complex dynamics.

## Contribution

It introduces a method to connect hidden attractors across different systems using numerical continuation along a parameter path.

## Key findings

- Hidden attractors can be connected via parameter continuation.
- The method reveals the structure of chaotic sets in these systems.
- Enhanced visualization of complex chaotic dynamics.

## 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.