測速器的渾沌現象,實用混合投影廣義及交織同步,應用GYC部分區域穩定理論之廣義同步與控制和鳥群行為渾沌控制

Abstract

測速器動態系統的渾沌行為藉由相圖,龐卡萊圖,分岔圖,功率譜,和李亞普諾夫指數圖來表示.藉由逆步和適應控制的實用混合投影廣義同步與兩個測速器動態系統與不同階數的渾沌系統之GYC實用混合投影交織同步,並由數值模擬來驗證其有效性.除此之外,利用GYC部分區域穩定理論來模擬測速器動態系統之廣義超渾沌的同步與控制.更進一步, 測速器動態系統之鳥群行為的渾沌控制與延遲同步也可以達成.最後藉由數值模擬來顯示驗證的結果.

The hyperchaotic dynamics of a tachometer system is studied by means of phase portraits, Poincare maps, bifurcation diagram, power spectra and Lyapunov exponents. Pragmatical hybrid projective hyperchaotic generalized synchronization and GYC pragmatical hybrid projective hyperchaotic symplectic synchronization (PHPHSS) of two hyperchaotic tachometer system with different order system as a constituent by adaptive backstepping control are obtained and verified by numerical simulation. Besides, hyperchaotic generalized synchronization and chaos control of tachometer system by GYC partial region stability are proposed. Furthermore, boids control and lag synchronization of tachometer system can be successfully obtained. Finally, numerical simulations are shown they are work.