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This is visualized in Figure 3. Figure 2 α γ > 1. (a)Unique steady state, AA c. Figure 3 α γ > 1 and A > A c. If A1∈ 0, A x L (A)) then the home country benefits from the land market liberalization; If A1∈(A x L (A), A) then the home country finds itself in a disadvantage situation due to the land market liberalization.
We emphasize that for finite γ the considered system has always a unique steady state.
For a unique steady state the transition through the critical condition is continuous.
When a unique steady state becomes unstable, a limit cycle develops.
Some sufficient conditions for the existence of a unique steady state are derived.
For Ni=26, every cold trial abruptly hops from the once-cold steady state over a 100 s period leading to a unique steady state at Th.
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Regime I, which is characterized by small ion number, features only one temperature, Tc, for which the heating and cooling rates are balanced, implying the existence of a unique steady-state for that ion number.
Whereas stable linear systems with inputs have a unique steady-state solution, which is independent on the initial conditions and only depends on the input signals, nonlinear systems in general do not possess this property.
Qualitatively, three regimes exist and are shown in Fig. 5. Regime I, which is characterized by small ion number, features only one temperature, T c, for which the heating (blue curve) and cooling (green curve) rates are balanced, implying the existence of a unique steady-state for that ion number.
We then created a program that numerically generates a unique steady-state population meeting the user-defined values; this population serves as the baseline strategy (Strategy 1 above) at the beginning of the time frame under evaluation.
The model can have either no interior steady state, a unique interior steady state, two interior steady states or three interior steady states depending on parameter values.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com