Modern Tennis Physics: Nonlinear and Quantum Dynamics
Nonlinear dynamics depicts an irregular and unpredictable time evolution of both simple and complex deterministic dynamical systems, characterized by nonlinear coupling of its variables. Given an initial condition, the dynamic equation determines the dynamic process, i.e., every step in the evolution. However, the initial condition, when magnified, reveals a cluster of values within a certain error bound. For a regular dynamic system, processes issuing from the cluster are bundled together, and the bundle constitutes a predictable process with an error bound similar to that of the initial condition. In a unpredictable nonlinear dynamical system, processes issuing from the cluster diverge from each other exponentially, and after a while the error becomes so large that the dynamic equation losses its predictive power (see Figure 21.1).
KeywordsBody Problem Quantum Dynamics Strange Attractor Vertical Strip Chaos Theory
Unable to display preview. Download preview PDF.