1. Introduction and Preliminaries 1.1 Problems 1.2 Concepts 1.3 Book layout 2. A brief introduction to nonlinear dynamical systems 2.1 Basic concepts of dynamical systems 2.2 Approximate analytical methods 2.

3 Stability 2.4 Bifurcation and Chaos 2.5 Chaos control 2.6 Applications 3. Some issues in random dynamical systems 3.1 Random noise in dynamical systems 3.2 Basic concepts of random dynamical systems 3.3 Stochastic stability 3.

4 Stochastic bifurcation 3.5 FPK equation 3.6 Applications 4. The beam-beam interaction model with narrow-band random noise 4.1 The beam-beam interaction model 4.2 Narrow-band random noise 4.3 Modified multiple scale method 4.4 Mean squared response 4.

5 Numerical analysis 4.6 Applications 5. The Duffing oscillator with Gaussian white noise 5.1 Stochastic Duffing oscillator revisited 5.2 The generation of Gaussian white noise5.3 Stochastic stability 5.4 Chaotic response 5.5 Applications 6.

Chaos control of nonlinear systems using stochastic force 6.1 Complex Duffing system with random force 6.2 Top Lyapunov exponent 6.3 Chaos control via random phase 6.4 Applications 7. Stochastic bifurcation of the mechanical model 7.1 The model of mechanics 7.2 Method of generalized cell mapping 7.

3 Stochastic bifurcation 7.4 Applications 8. Response analysis for the model of earthquake 8.1 The model of earthquake 8.2 Response and stability analysis 8.3 Applications 9. Stochastic dynamics in the model of love 9.1 The model of love 9.

2 Modified model of love 9.3 Love dynamics 9.4 Chaos in stochastic model 9.5 Applications.