Quantum mechanics

Control (management)

Chaotic

Pure mathematics

Bifurcation

Multistability

Countable set

Synchronization of chaos

Computer science

Statistical physics

Physics

Nonlinear system

Mathematics

Lyapunov exponent

Attractor

Mathematical analysis

Artificial intelligence

Combinatorics

Topology (electrical circuits)

Bifurcation diagram

Control theory (sociology)

International Journal of Bifurcation and Chaos

Recently, chaotic systems with hidden attractors and multistability have been of great interest in the field of chaos and nonlinear dynamics. Two special categories of systems with multistability are systems with extreme multistability and systems with megastability. In this paper, the simplest (yet) megastable chaotic oscillator is designed and introduced. Dynamical properties of this new system are completely investigated through tools like bifurcation diagram, Lyapunov exponents, and basin of attraction. It is shown that between its countable infinite coexisting attractors, only one is self-excited and the rest are hidden.

Simplest Megastable Chaotic Oscillator