The Unquiet Frontier

Abstract

From the Baltic to the South China Sea, newly assertive authoritarian states sense an opportunity to resurrect old empires or build new ones at America's expense. Hoping that U.S. decline is real, nations such as Russia, Iran, and China are testing Washington's resolve by targeting vulnerable allies at the frontiers of American power. This book explains why the United States needs a new grand strategy that uses strong frontier alliance networks to raise the costs of military aggression in the new century. The book describes the aggressive methods which rival nations are using to test American power in strategically critical regions throughout the world. It shows how rising and revisionist powers are putting pressure on our frontier allies—countries like Poland, Israel, and Taiwan—to gauge our leaders' commitment to upholding the American-led global order. To cope with these dangerous dynamics, nervous U.S. allies are diversifying their national-security “menu cards” by beefing up their militaries or even aligning with their aggressors. The book reveals how numerous would-be great powers use an arsenal of asymmetric techniques to probe and sift American strength across several regions simultaneously, and how rivals and allies alike are learning from America's management of increasingly interlinked global crises to hone effective strategies of their own. The book demonstrates why the United States must strengthen the international order that has provided greater benefits to the world than any in history.

Chaos in Optical Systems

“…Some hyperchaotic behavior in SHG with pump of pulses has been shown [111]. The two largest Lyapunov exponents versus a duration of pulse T 1 are presented in Fig.…”

“…Alekseeva et al [109] presented a detailed study of the spatial evolution of multifrequency fundamental and second-harmonic radiation and showed that the system may exhibit a spatial chaos due to multiple competing processes. Also, a hyperchaotic dynamic in SHG was numerically predicted [110,111].…”