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Synchronization of chaotic dynamical systems
Borkovec, Ondřej ; Opluštil, Zdeněk (oponent) ; Tomášek, Petr (vedoucí práce)
The master's thesis deals with the basic notion of chaotic dynamical systems with the special focus on their synchronization. The process of synchronization is then applied using two different methods: complete synchronization on two Lorenz systems and negative-feedback method on two Rössler systems. The possible application of synchronization of chaotic systems on the field of private communication is investigated and it is complemented by the algorithms in MATLAB.
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Stability and chaos in nonlinear dynamical systems
Khůlová, Jitka ; Tomášek, Petr (oponent) ; Čermák, Jan (vedoucí práce)
The master's thesis deals with analysis of basic chaotic dynamical systems, with a special emphasis put on the Rössler system. Besides standard bifurcation analysis, stabilization problems related to this system are investigated. The diagonal time-delayed feedback control is utilized as a basic control tool for this problem. Using derived theoretical results, optimal conditions for control gain and time delay parameters are established. In addition, a synchronization problem for two Rössler systems is discussed and investigated for several synchronization methods.
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Synchronization of chaotic dynamical systems
Borkovec, Ondřej ; Opluštil, Zdeněk (oponent) ; Tomášek, Petr (vedoucí práce)
The master's thesis deals with the basic notion of chaotic dynamical systems with the special focus on their synchronization. The process of synchronization is then applied using two different methods: complete synchronization on two Lorenz systems and negative-feedback method on two Rössler systems. The possible application of synchronization of chaotic systems on the field of private communication is investigated and it is complemented by the algorithms in MATLAB.
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Stability and chaos in nonlinear dynamical systems
Khůlová, Jitka ; Tomášek, Petr (oponent) ; Čermák, Jan (vedoucí práce)
The master's thesis deals with analysis of basic chaotic dynamical systems, with a special emphasis put on the Rössler system. Besides standard bifurcation analysis, stabilization problems related to this system are investigated. The diagonal time-delayed feedback control is utilized as a basic control tool for this problem. Using derived theoretical results, optimal conditions for control gain and time delay parameters are established. In addition, a synchronization problem for two Rössler systems is discussed and investigated for several synchronization methods.
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