Analysis of border-collision bifurcation in a simple circuit

T Kousaka, T Kido, T Ueta…�- …�Symposium on Circuits�…, 2000 - ieeexplore.ieee.org
T Kousaka, T Kido, T Ueta, H Kawakami, M Abe
2000 IEEE International Symposium on Circuits and Systems (ISCAS), 2000ieeexplore.ieee.org
This paper considers a system interrupted by own state and a periodic interval. We know this
system has prospects of occurrence of border-collision bifurcation. To analyze properties of
the dynamics, we derive a one-dimensional map explicitly. We show some theorems and the
existence of regions of periodic solution within two-parameter space. Some theoretical
results are verified by laboratory experiments.
This paper considers a system interrupted by own state and a periodic interval. We know this system has prospects of occurrence of border-collision bifurcation. To analyze properties of the dynamics, we derive a one-dimensional map explicitly. We show some theorems and the existence of regions of periodic solution within two-parameter space. Some theoretical results are verified by laboratory experiments.
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