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Modern Tennis Physics: Nonlinear and Quantum Dynamics

  • Tijana T. Ivancevic
  • Bojan Jovanovic
  • Sasa Jovanovic
  • Milka Djukic
  • Natalia Djukic
  • Alexandar Lukman
Part of the Cognitive Systems Monographs book series (COSMOS, volume 12)

Abstract

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).

Keywords

Body Problem Quantum Dynamics Strange Attractor Vertical Strip Chaos Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Tijana T. Ivancevic
    • Bojan Jovanovic
      • Sasa Jovanovic
        • Milka Djukic
          • Natalia Djukic
            • Alexandar Lukman

              There are no affiliations available

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