{'fraction_non_alphanumeric': 0.014204545454545454, 'fraction_numerical': 0.0, 'mean_word_length': 5.351351351351352, '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}}
Study on the dynamic behavior of truncation errors in non-hyperbolic fixed points chaotic systems

It is always thought that discrete dynamical systems were collapsed from complicated long period to simple short period by computer truncation errors. In this paper, a system induced to complication completely by computer truncation is offered. The theoretical solution is a convergent sequence and the corresponding computer solution is a diverging system. Analysis shows that it’s the computer truncation error that makes the system performance changes. This anti-degradation mechanism can be applied to chaotic encryption, which will solve the weak key problem caused by the collapse of chaotic system.