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Chaos May Be an Optimal Plan

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  • M. Papageorgiou

    (Technical University of Crete)

Abstract

An interpretation of some chaotic systems as the result of optimal decisions is presented. First, a generalized discrete-time two-person game is introduced that may be solved by use of dynamic programming. Then, a specific game of this type is formulated whose optimal solution transforms an originally linear discrete-time system into a well-known discrete-time chaotic system. Finally, a particular continuous-time optimal control problem is formulated, whose optimal feedback solution transforms an originally linear continuous-time system into a well-known continuous-time chaotic system.

Suggested Citation

  • M. Papageorgiou, 2003. "Chaos May Be an Optimal Plan," Journal of Optimization Theory and Applications, Springer, vol. 119(2), pages 387-393, November.
    • Handle: RePEc:spr:joptap:v:119:y:2003:i:2:d:10.1023_b:jota.0000005452.22744.66
    DOI: 10.1023/B:JOTA.0000005452.22744.66
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    References listed on IDEAS

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    1. Dana, Rose-Anne & Montrucchio, Luigi, 1986. "Dynamic complexity in duopoly games," Journal of Economic Theory, Elsevier, vol. 40(1), pages 40-56, October.
    2. Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October.
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    Cited by:

    1. Wu, Ruijia & Van Gorder, Robert A., 2018. "Nonlinear dynamics of discrete time multi-level leader–follower games," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 240-250.

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