Common Features of the Onset of the Persistent Chaos in Nonlinear Oscillators: A Phenomenological Approach

摘要: Bifurcational precedences of generating the persistent,crossing-the-potential-barrier chaos in nonautonomous, dissipative nonlinearoscillators are examined. The comparative computational study covers thetwin-well oscillator, pendulum with parametric excitation, and pendulumdriven by external harmonic force. reveals common features thesystem response properties bifurcational scenarios, prior to theonset chaos. It is pointed out that, three considered systems,the preceded two only asymmetric periodicattractors, which simultaneously annihilated via theperiod-doubling-crisis scenario. However, notnecessarily related directly escape from a potential well. We alsoshow all systems, persistent can be viewed as anirregular combination `crossing barrier' theoscillatory component motion.