{'fraction_non_alphanumeric': 0.0141287284144427, 'fraction_numerical': 0.0, 'mean_word_length': 6.168539325842697, '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}}
Robust hybrid projective synchronization of fractional-order chaotic systems with time-delay

This paper investigates the hybrid projective synchronization of two different fractional-order chaotic systems with time-delay and uncertain random perturbation. Based on adaptive control techniques and The theory of sliding mode control method, a general controller is designed to ensure that the two different fractional-order systems can achieve hybrid projective synchronization rapidly. The simulation results of both chaotic and hyperchaotic examples demonstrate the effectiveness and feasibility of the proposed synchronization scheme.