The possible dynamics of a model of a hysteresis-based circuit oscillator are analyzed when varying its characteristic’s parameters. By combining brute-force simulations with continuation methods it is shown that the complexity of the scenario obtained through brute-force simulation is largely justified by the presence of a few codimension-2 bifurcation points, which organize the whole bifurcation scenario.
Complex links between codimension-2 bifurcations in an electronic oscillator based on hysteresis
STORACE, MARCO
2006-01-01
Abstract
The possible dynamics of a model of a hysteresis-based circuit oscillator are analyzed when varying its characteristic’s parameters. By combining brute-force simulations with continuation methods it is shown that the complexity of the scenario obtained through brute-force simulation is largely justified by the presence of a few codimension-2 bifurcation points, which organize the whole bifurcation scenario.
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