14 304Īhmad W M and Ei-Khazali R 2007 Chaos, Solitons and Fractals 33 1367Įl-Sayed A M A 1996 Int. Sheu L J, Chen H K, Chen J H, Tam L M, Chen W C, Lin K T and Kang Y 2008 Chaos, Solitons and Fractals 36 98Įngheta N 1996 IEEE Trans. Podlubny I 1999 Fractional Differential Equations (New York: Academic Press) Miller K S and Ross B 1993 An Introduction to the Fractional Calculus and Fractional Differential Equations (New York: John Wiley and Sons) Oldham K B and Spanier J 1974 The Fractional Calculus: Theory and Application of Differentiation and Integration to Arbitrary Order (New York: Academic Press) Key words: fractional-order Lorenz-like system, stability analysis, pitchfork bifurcation, chaos controlĠ5.45.Gg (Control of chaos, applications of chaos) Numerical simulation results show that the presented approach can effectively guide the chaotic trajectories to the unstable equilibrium points. Finally, the sliding mode control law is provided to make the states of the Lorenz-like system asymptotically stable. The largest Lyapunov exponents and phase portraits are given to check the existence of chaos. Then, the necessary conditions for the commensurate and incommensurate fractional-order systems to remain chaos are derived. The pitchfork bifurcation is discussed for the first time. The stabilities of equilibrium points are analyzed as one of system parameters changes. The existence and uniqueness of solutions for this system are proved. 关键词: fractional-order Lorenz-like system, stability analysis, pitchfork bifurcation, chaos controlĪbstract: In this paper, the complex dynamical behavior for a fractional-order Lorenz-like system with two quadratic terms is investigated. Use of three travel modes: basic model space fighter, virtual mode inside a tank, prototype fighter considered as the ultimate weapon.摘要: In this paper, the complex dynamical behavior for a fractional-order Lorenz-like system with two quadratic terms is investigated.Combat sequence in Manhattan: the island has been entirely recreated in 3D, modeled with 2 million polygons.A grandiose sound track consisting of original titles using the stereo effect, CD quality.Total immersion into the game enhanced by hyper-realistic sound effects.Real piloting sensations due to the movements and the non-linear travel of the vessels involved.More than 60 minutes of computer-generated animated images.Finally, master a fearsome labyrinth of traps to greet and beat your nemesis, Lord Commander Arakh' Kreen. Then soar to outer space to destroy the enemy's well-fortressed flagship. If you succeed, enter the core of a virtual reality computer to neutralize a lethal virus. Your destiny - to save EARTH.įirst you must liberate Manhattan. As Lieutenant Darkhill, your missions encompass heart-stopping battles in four distinctly different, full-screen synthesized universes. Only one space fighter has the courage, composure and razor-sharp reflexes to eliminate the savage Kesh Rhan Extraterrestrials.ace pilot Jessica Darkhill. At the controls of a space fighter, your dangerous missions will lead you into a unique spectacle with multiple, fantastic sets in full screen 3D vision. Acerca de este juego Chaos Control, a super-production designed entirely on Silicon Graphics, takes you to the heart of a fantastic epic that blends cyberculture, virtual travel and manga graphics.
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