Offset parameter cancellation produces countless coexisting attractors
Chunbiao Li, Tengfei Lei, Zuohua Liu
Abstract
The average value of a system variable determines the position of its attractor. When the offset parameters come together and get disappeared after an algebraic operation, the location of the attractor is then governed by an initial condition only. In this case, parameter-dominated offset control turns out to be the initial condition-defined coexisting attractors. In this Letter, a special mechanism for generating countless coexisting attractors is disclosed. Furthermore, a new regime of multistability is revealed, which explains where and how countless coexisting attractors are born and arranged.
Topics & Concepts
AttractorMultistabilityOffset (computer science)Control theory (sociology)Initial value problemMathematicsStatistical physicsComputer scienceMathematical analysisPhysicsControl (management)Artificial intelligenceNonlinear systemQuantum mechanicsProgramming languageNonlinear Dynamics and Pattern FormationChaos control and synchronizationstochastic dynamics and bifurcation