{'fraction_non_alphanumeric': 0.024324324324324326, 'fraction_numerical': 0.0, 'mean_word_length': 5.736363636363636, '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}}
Solitonets: complex networks of interacting fields

We propose complex networks made with interacting fields, where the interaction dynamics at each individual node in the system has infinite degrees of freedom. We construct networks, based on the interactions between vector solitons, whose dynamics are governed by conservation laws. Hence, the dimensionality of the dynamics at each node is determined by the initial conditions, making the problem tractable. We present examples of small and large soliton-based networks, and demonstrate memory effects within them that are enormously enhanced by noise. Finally, we demonstrate that such networks, with infinite-dimensional dynamics, can exhibit spontaneous self-synchronization effects.