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    Appendix 1:     3.3.1:      Small damping, no driving force

    Appendix 2:      3.3.2:      Nonlinear Oscillations and chaotic motion

    Appendix 3:    3.3.3.1:     Bistable response of the Duffing oscillator

    Appendix 4a: 3.3.3.2:     Perturbation series solution of the Duffing oscillator up to lambda^2-terms

    Appendix 4b: 3.3.3.2:     Perturbation series solution of the Duffing oscillator up to lambda^5-terms

    Appendix 5:         4.5:     Interaction of 2 solitons (analytical)