Introduction to Attractors and Chaos

  • Vladimir G. Ivancevic
  • Tijana T. Ivancevic
Part of the Intelligent Systems, Control and Automation: Science and Engineering book series (ISCA, volume 32)


Recall that a Newtonian deterministic system is a system whose present state is fully determined by its initial conditions (at least, in principle), in contrast to a stochastic (or, random) system, for which the initial conditions determine the present state only partially, due to noise, or other external circumstances beyond our control. For a stochastic system, the present state relects the past initial conditions plus the particular realization of the noise encountered along the way. So, in view of classical science, we have either deterministic or stochastic systems.


Periodic Orbit Lyapunov Exponent Chaotic System Hopf Bifurcation Phase Portrait 
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Copyright information

© Springer 2007

Authors and Affiliations

  • Vladimir G. Ivancevic
    • 1
  • Tijana T. Ivancevic
    • 2
  1. 1.Defence Science and Technology OrganisationAdelaideAustralia
  2. 2.The University of AdelaideAustralia

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