Limiting Phase Trajectories and the Emergence of Autoresonance in Anharmonic Oscillators
As mentioned above, resonance energy transfer represents one of the most effective ways of the response enhancement for a broad range of physical and engineering systems. In this chapter, the notion of resonance energy transfer is extended to the oscillators subjected to harmonic forcing with a slowly varying frequency. We investigate capture into resonance of a Klein–Gordon chain of identical linearly coupled Duffing oscillators excited by a harmonic force with a slowly varying frequency applied at an edge of the chain.
- Friedland L.: http://www.phys.huji.ac.il/~lazar/
- Kovaleva A.: Resonance energy transport in an oscillator chain. http://arXiv:1501.00552. (2015)Google Scholar
- Kovaleva, A., Manevitch, L.I.: Emergence and stability of autoresonance in nonlinear oscillators. Cybern. Phys. 2, 25–30 (2013b)Google Scholar
- Veksler, V.I.: Some new methods of acceleration of relativistic particles. ComptesRendus (Dokaldy)de l’Academie Sciences de l’URSS 43, 329–331 (1944)Google Scholar