{'fraction_non_alphanumeric': 0.029013539651837523, 'fraction_numerical': 0.0038684719535783366, 'mean_word_length': 5.395061728395062, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Bifurcation from a 3-D hysteresis piecewise-constant circuit

We propose a 3-D hysteresis piecewise-constant circuit. The circuit consists of linear capacitors and nonlinear voltage controlled current sources. This circuit is extremely simple, but exhibits interesting bifurcation phenomena. The right-hand side of the state equation is piecewise-constant, hence the system dynamics can be simplified into a piecewise-linear return map. Using the return map, the bifurcation phenomena are clarified almost completely.