title: Steady states in the twin-well potential oscillator: Computer simulations and approximate analytical studies.
abstract: The paper is focused on the phenomena of various steady-state oscillations exhibited by the twin-well potential system. Regions of existence of different attractors in the system parameter domain are examined and a picture book of different steady states for fixed damping and forcing is presented: 20 different combinations of single or coexisting, small orbit or large orbit, periodic and chaotic attractors are displayed. Computer simulations are followed by an approximate analytical analysis: A study of various forms of instability of periodic solutions gives close form approximate criteria for occurrence of T-periodic small orbit and large orbit oscillations, and for cross-well chaos.
authors.affiliation: Institute of Fundamental Technological Research PAS, Swietokrzyska 21, 00-049 Warsaw, Poland.
authors.forename: Wanda
authors.initials: W
authors.lastname: Szemplinska-Stupnicka
authors.forename: Jerzy
authors.initials: J
authors.lastname: Rudowski