Abstract
•A new two dimensional nonlinear oscillator is introduced.•It has infinite number of coexisting asymmetric limit cycles and stable equilibria.•Some of these oscillators are self-excited, while some others are hidden attractors.•A forcing term is added to this new system.•A new oscillator is introduced with infinite number of coexisting attractors.
In this paper, we introduce a new two dimensional nonlinear oscillator with infinite number of coexisting asymmetric limit cycles and stable equilibria. Some of these attractors are self-excited, while some others are hidden attractors. Adding a forcing term to this new system, we introduce a new chaotic system with infinite number of coexisting asymmetric strange attractor, torus and limit cycles, depending on the parameters.