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Structural treatment of time-varying dynamical system networks in the light of hybrid[...]
Introduction
Hybrid Dynamical Systems
The Concept of Hybrid Dynamical Systems
Hybrid Dynamics
Hybrid Symmetries
Classical Symmetries of Dynamical Systems
Dynamical T-Systems and T-Symmetries
Hybrid Dynamical Systems and Hybrid Symmetries
Consequences of Hybrid Symmetries
Hybrid Fixed-Point Spaces
Periodicity in Hybrid Dynamics and Hybrid Spatio-Temporal Symmetries
Periodic Executions
Hybrid Spatio-Temporal Symmetries
Return Maps and Hybrid Symmetries
Symmetry Switching
Switched Systems and Induced Hybrid Automata
Switched Systems and Hybrid Symmetries
Symmetry Switching
Stabilization and Symmetry Switching
Time-Varying Networks of Dynamical Systems
Coupled Cell Systems
A Particular Class of Coupled Cell Systems
From Periodically Driven CCS to Orbitally Switched Systems
Numerical Treatment of Orbitally Switched Systems
Conclusion
Bibliography
Dissertation
Structural treatment of time-varying dynamical system networks in the light of hybrid symmetries
Entstehung
2012
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