جاذب‌هـای آشوبناک و متناوب در یک مدل شبکه عصبی مصنوعی پنج بعدی
الموضوعات :
1 - گروه ریاضی، دانشگاه پیام نور، تهران، ایران
الکلمات المفتاحية: transient chaos, Chaos, Lyapunov spectrum, hyperchaos, period-doubling bifurcation,
ملخص المقالة :
در این مقاله، دینامیک یک مدل جدید از شبکه‌های عصبی هاپفیلد مبتنی بر 5 نورون ارائه و بررسی شده است. در ضرائب سیناپسی این مدل، دو پارامتر تعریف شده که با تغییر آنها، رفتارهای دینامیکی بسیار غنی، از جمله جاذب شبه‌متناوب (3-چنبره)، آشوب، آشوب گذرا، ابرآشوب، انشعاب دو برابر سازی دوره تناوب منتهی به آشوب و جاذب‌های همزیست مشاهده خواهند شد. این مدل تقریبا اکثر پدیده‌های دینامیکی مطرح را در بر خواهد گرفت. به طور خاص، ما پدیده انشعاب دو برابر سازی دوره تناوب منتهی به آشوب را مشاهده می‌کنیم که در کارهای قبلی به ندرت در سیستم‌های خودگردان پنج بعدی، بخصوص سیستم هاپفیلد گزارش شده‌اند. با تغییر پارامتر a در یک بازه بسیار کوچک، فرآیند تکامل سیستم از چرخه حدی آغاز می‌شود و پس از عبور از یک سری جاذب‌های متناوب، آشوبناک می‌شود. رفتارهای پیچیده دینامیکی سیستم با استفاده از طیف نمای لیاپونوف، نمودار انشعاب و مقاطع مختلف از فضای فاز بررسی می‌شوند.
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