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Bifurcations of Equilibrium States

In: Catastrophe Theory

Author

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  • Vladimir I. Arnold

    (Steklov Mathematical Institute)

Abstract

An evolutionary process is described mathematically by a vector field in phase space. A point of phase space defines the state of the system. The vector at this point indicates the velocity of change of the state.

Suggested Citation

  • Vladimir I. Arnold, 1992. "Bifurcations of Equilibrium States," Springer Books, in: Catastrophe Theory, edition 0, chapter 5, pages 14-19, Springer.
  • Handle: RePEc:spr:sprchp:978-3-642-58124-3_5
    DOI: 10.1007/978-3-642-58124-3_5
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