Explore the intricacies of quantum bistability and multistability in this 25-minute lecture by Andrey Kolovsky from the PCS Institute for Basic Science. Delve into the dissipative double resonance model, comparing it to the driven dissipative nonlinear oscillator. Discover how a large driving frequency simplifies the phase structure, enabling analytical estimates for quantum limit cycle lifetimes. Investigate the system's complexity at small driving frequencies, uncovering the novel phenomenon of dissipation- and chaos-assisted tunneling between quantum limit cycles. Gain insights into the fascinating interplay between quantum mechanics, chaos, and dissipation in this advanced exploration of quantum systems.