Dynamical Systems Modeling and Analysis

  1. Applications in Physics and Engineering
    1. Mechanical Systems
      1. Oscillators
        1. Simple Harmonic Oscillator
          1. Damped Oscillator
            1. Driven Oscillator
            2. Pendulum Systems
              1. Simple Pendulum
                1. Double Pendulum
                  1. Parametric Pendulum
                  2. Rigid Body Dynamics
                    1. Spinning Top
                      1. Gyroscopic Effects
                    2. Electrical Circuits
                      1. Linear Circuits
                        1. RLC Circuits
                          1. Resonance Phenomena
                          2. Nonlinear Circuits
                            1. Van der Pol Oscillator
                              1. Chua's Circuit
                                1. Josephson Junctions
                              2. Fluid Dynamics
                                1. Convection Systems
                                  1. Rayleigh-Bénard Convection
                                    1. Pattern Formation
                                    2. Turbulence
                                      1. Route to Turbulence
                                        1. Strange Attractors in Fluids
                                      2. Optics and Lasers
                                        1. Laser Dynamics
                                          1. Rate Equations
                                            1. Instabilities
                                            2. Nonlinear Optics
                                              1. Optical Bistability
                                                1. Chaos in Optical Systems

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                                            13. Applications in Chemistry