Hopf Bifurcation Analysis for the Comprehensive National Strength Model with Time Delay

Abstract This paper mainly modifies and further develops the comprehensive national strength model. By modifying the basic comprehensive national strength model, it can more accurately illustrate the society phenomena with time delay. First, we research the dynamics of the modified with time delay. By employing the normal form theory and center manifold method, we obtain some testable results on these issues. The conclusion confirms that a Hopf bifurcation occurs due to the existence of stability switches when the delay varies. Finally, some numerical simulations are given to illustrate the effectiveness of our result.

Keywords Hopf bifurcation, Stability, Comprehensive national strength model, Center manifold, Normal form.

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Dynamic analyses of a flat plate and a beam subjected to a moving load

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