Saddle-node bifurcation

Physics

Statistical physics

Mathematical analysis

Artificial intelligence

Nonlinear system

Attractor

Offset (computer science)

Lyapunov exponent

Programming language

Synchronization of chaos

Chaotic hysteresis

Control (management)

Multistability

Chaotic

Bifurcation

Mathematics

Computer science

Boosting (machine learning)

Control theory (sociology)

Quantum mechanics

Bifurcation diagram

Limit cycle

Equilibrium point

Physics Letters

Analyzing chaotic systems with coexisting and hidden attractors has been receiving much attention recently. In this article, we analyze a four dimensional chaotic system which has a plane as the equilibrium points. Also this system is of the group of systems that have coexisting attractors. First, the system is introduced and then stability analysis, bifurcation diagram and Largest Lyapunov exponent of this system are presented as methods to analyze the multistability of the system. These methods reveal that in some ranges of the parameter, this chaotic system has three different types of coexisting attractors, chaotic, stable node and limit cycle. Some interesting dynamics properties such as reversals of period doubling bifurcation and offset boosting are also presented.

Dynamical analysis of a new multistable chaotic system with hidden attractor: Antimonotonicity, coexisting multiple attractors, and offset boosting