{'fraction_non_alphanumeric': 0.013937282229965157, 'fraction_numerical': 0.0, 'mean_word_length': 5.534090909090909, '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}}
Heteroclinic Bifurcation Analysis of Duffing-Van Der Pol System by the Hyperbolic Lindstedt-Poincaré Method

The heteroclinic bifurcation of the Duffing-Van der Pol oscillatory System is studied by the hyperbolic Lindstedt-Poincaré method. The heteroclinic solution can be solved analytically by the method. And the critical value of the bifurcation parameter under which heteroclinic orbit forms can be determined by the perturbation procedure. Typical applications are studied in detail and compared with numerical results to illustrate the accuracy of the present method.