Loss of Stability of Equilibrium and of Self-Oscillating Modes of Behaviour

Vladimir I. Arnold
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Vladimir I. Arnold: Steklov Mathematical Institute

Chapter 6 in Catastrophe Theory, 1992, pp 20-30 from Springer

Abstract: Abstract Loss of stability of an equilibrium state on change of parameter is not necessarily associated with the bifurcation of this equilibrium state: it can lose stability not only by colliding with another state, but also by itself.

Keywords: Strange Attractor; Phase Curve; Catastrophe Theory; Stable Equilibrium State; Unstable Limit Cycle (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1007/978-3-642-58124-3_6

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