Market Share Delegation in a Bertrand Duopoly: Synchronisation and Multistability

Figure 4

Parameter values: , , and . (a) The natural transverse Lyapunov exponent with respect to parameter . (b) Four-piece chaotic attractor of system belonging to the diagonal for . (c) Bursts away from the diagonal before synchronization for , , and . (d) The whole trajectory starting from initial condition as in (c) and converging to the attractor in (b). (e) The minimal absorbing area in which on-off intermittency phenomenon occurs for the same parameters as in (c). (f) The attractor coexists with an attracting 2-period cycle for .

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(b)

(c)

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