سیستم‌های دینامیکی و نظریه آشوب

{"id":3804332,"title":"سیستم‌های دینامیکی و نظریه آشوب","price":"۹‌,‌۸۰۰","ebook_price":"۵۰‌,‌۰۰۰","rent_3_price":"۲۵‌,‌۰۰۰","rent_6_price":"۳۰‌,‌۰۰۰","rent_12_price":"-۱","print_price":"-۱","front_cover":{"thumbnail":"/storage/files/styles/thumbnail/books/803e7a5e2abdefd6/front.jpg","large":"/storage/files/styles/large/books/803e7a5e2abdefd6/front.jpg","medium_rounded":"/storage/files/styles/medium_rounded/books/803e7a5e2abdefd6/front.jpg","medium":"/storage/files/styles/medium/books/803e7a5e2abdefd6/front.jpg","medium_zoom_fit":"/storage/files/styles/medium_zoom_fit/anonymous.jpg","medium_trans":"/storage/files/styles/medium_trans/books/803e7a5e2abdefd6/front.jpg"},"back_cover":{"thumbnail":"/storage/files/styles/medium/anonymous.jpg","large":"/storage/files/styles/medium/anonymous.jpg","medium_rounded":"/storage/files/styles/medium/anonymous.jpg","medium":"/storage/files/styles/medium/anonymous.jpg","medium_zoom_fit":"/storage/files/styles/medium/anonymous.jpg","medium_trans":"/storage/files/styles/medium/anonymous.jpg"},"file":null,"print_book":0,"isbn":"9786006121161","lang":null,"cover_type":null,"dimension":null,"year":"۱۳۹۲","nobat_chap":1,"description":["<p style=\"text-align: justify;\"><span dir=\"RTL\" lang=\"AR-SA\" style=\"font-size: 14.0pt; line-height: 150%; font-family: 'B Zar'; mso-ascii-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\">سیستم&zwnj;های دینامیکی شاخه&zwnj;هایی گسترده از دانش ریاضی و کاربردهای آن را در بر گرفته و به عنوان یکی از زمینه&zwnj;های فعال و زنده آن مطرح است. بیشتر از سه قرن پیش نیوتن بذر این علم را کاشته است و در حدود یک قرن پیش هنری پوانکاره، این شاخه از علم را به درختی تناور و محکم تبدیل کرد. به واسطه تحلیل یک مدل خاص در یک مسیله طبیعی یا ریاضی، تعاریف و صورت&zwnj;بندی&zwnj;های مختلفی در این شاخه ایجاد شده است. به عنوان مثال از میان تعاریف بسیار، چهار تعریف مهم از آشوبناک بودن یک سیستم دینامیکی در این کتاب ارایه شده&zwnj;اند. با توجه به دلایل یاد شده، دسته&zwnj;بندی&zwnj;های مختلفی از انواع سیستم&zwnj;های دینامیکی مطرح است؛ مانند سیستم&zwnj;های دینامیکی گسسته و سیستم&zwnj;های دینامیکی پیوسته، سیستم&zwnj;های متناهی&zwnj;البعد در مقابل نامتناهی&zwnj;البعد و غیره. سیستم&zwnj;های دینامیکی مورد بحث در کتاب حاضر از نوع سیستم&zwnj;های دینامیکی گسسته و مشتق&zwnj;پذیر می&zwnj;باشد و برخی از مباحث آن نیز در زمره دینامیک توپولوژیک به &zwnj;شمار &zwnj;می&zwnj;آیند. این کتاب، در عین&zwnj; حال که مباحث متنوعی را در زمینه&zwnj;های یادشده عرضه &zwnj;می&zwnj;کند، بر محور آشوب می&zwnj;چرخد و این پدیده را با جزییاتی بسیار در دستگاه&zwnj;های دینامیکی مختلف مانند نگاشت&zwnj;ها روی فضاهای انتقال، بازه&zwnj;های حقیقی، چنبره و جاذب&zwnj;های عجیب مانند جاذب نعل &zwnj;&zwnj;اسب و جاذب سیم&zwnj;پیچ و همچنین در اتوماتاهای سلولی بررسی &zwnj;می&zwnj;کند. در<span lang=\"AR-SA\" style=\"font-size: 14.0pt; line-height: 150%; font-family: 'B Zar'; mso-ascii-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\">&lrm;</span><span lang=\"AR-SA\" style=\"font-size: 14.0pt; line-height: 150%; font-family: 'Times New Roman','serif'; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'B Zar'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\"> </span>این کتاب چهار تعریف مختلف از آشوب ارایه&zwnj; شده &zwnj;است که به&zwnj;ترتیب عبارت&zwnj;اند &zwnj;از: <span dir=\"RTL\" lang=\"FA\" style=\"font-size: 14.0pt; line-height: 150%; font-family: 'B Zar'; mso-ascii-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: FA;\">1- </span>آشوب به معنای دوانی؛<span dir=\"RTL\" style=\"font-size: 14.0pt; line-height: 150%; font-family: 'B Zar'; mso-ascii-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\"><span style=\"mso-spacerun: yes;\"> </span></span><span dir=\"RTL\" lang=\"FA\" style=\"font-size: 14.0pt; line-height: 150%; font-family: 'B Zar'; mso-ascii-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: FA;\">2- مثبت&zwnj;بودن نمای لیاپانوف؛<span dir=\"RTL\" style=\"font-size: 14.0pt; line-height: 150%; font-family: 'B Zar'; mso-ascii-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\"><span style=\"mso-spacerun: yes;\"> </span></span>3- مثبت&zwnj;بودن آنتروپی توپولوژیکی و<span dir=\"RTL\" style=\"font-size: 14.0pt; line-height: 150%; font-family: 'B Zar'; mso-ascii-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\"><span style=\"mso-spacerun: yes;\"> </span></span>4- مثبت&zwnj;بودن نرخ رشد نمایی مدارهای تناوبی. چنانکه پیشتر گفته شد یکی از موارد اهمیت سیستم&zwnj;های دینامیکی، توانمند بودن این رشته برای مدل&zwnj;سازی پدیده&zwnj;های طبیعی است. امروزه ریاضی&zwnj;دان&zwnj;های بسیاری از این رشته برای مدل&zwnj;سازی پدیده&zwnj;های طبیعی در شاخه&zwnj;هایی از دانش مانند هواشناسی، زمین&zwnj;شناسی، انتقال جرم و حرارت، مدارهای ماهواره&zwnj;ای، مکانیک سماوی و نجوم، دریاشناسی و مکانیک سیالات، گرانش و کیهان&zwnj;شناسی استفاده می&zwnj;کنند. این کتاب به&zwnj;عنوان یک متن خودآموز درسی برای دوره&zwnj;های کارشناسی و کارشناسی ارشد رشته ریاضیات تالیف &zwnj;شده &zwnj;است، اما با توجه به کاربردهای این رشته، دیگر رشته&zwnj;های مرتبط نیز می&zwnj;توانند از این منبع استفاده کنند.</span></span>",""],"pages_count":316,"keywords":null,"token":"803e7a5e2abdefd6","created_at":"2023-04-16 10:46:04","updated_at":"2023-04-18 15:09:28","publisher_id":212,"deleted_at":null,"published_at":"2023-04-18 15:09:28","available_for_web":1,"publisher_title":"دانشگاه شاهد","edition":null,"currency":"IRR","subtitle":null,"country":"iran","exclusive_rights":null,"not_for_sale":null,"rent_1_week_price":"-۱","meta_desc":null,"meta_title":null,"stock":-1,"cache":1,"authors":[{"id":1931177,"title":"دکتر بهروز رییسی","meta_title":"دکتر بهروز رییسی","meta_description":"دکتر بهروز رییسی - بوکت، نخستین و بزرگ‌ترین سامانه‌ی یادگیری و آموزش با قابلیت کرایه و خرید نسخه‌ی الکترونیکی کتاب‌های دانشگاهی است ","faq":null,"keywords":"بوکت,کرایه کتاب,کتاب الکترونیک/ نسخه الکترونیک,ئی بوک/ایبوک,مطالعه آنلاین,کتاب تخصصی,کتاب دانشگاهی,دانلود کتاب,خرید کتاب,جستجوی کتاب,خرید کتاب الکترونیک,ناشرشو,چاپ کتاب,چاپ رایگان کتاب,کتاب مهندسی,کتاب پزشکی,کتاب مدیریت,جیتجو در متن کتاب,دانلود اپلیکیشن کتابخوان","description":null,"firstname":"دکتر","lastname":"بهروز رییسی","token":"d4a9166d186abc22","created_at":"2023-04-16 10:55:35","updated_at":"2023-04-16 10:55:35","national_code":null,"role":"writer"}],"writer_authors":[{"id":1931177,"title":"دکتر بهروز رییسی","meta_title":"دکتر بهروز رییسی","meta_description":"دکتر بهروز رییسی - بوکت، نخستین و بزرگ‌ترین سامانه‌ی یادگیری و آموزش با قابلیت کرایه و خرید نسخه‌ی الکترونیکی کتاب‌های دانشگاهی است ","faq":null,"keywords":"بوکت,کرایه کتاب,کتاب الکترونیک/ نسخه الکترونیک,ئی بوک/ایبوک,مطالعه آنلاین,کتاب تخصصی,کتاب دانشگاهی,دانلود کتاب,خرید کتاب,جستجوی کتاب,خرید کتاب الکترونیک,ناشرشو,چاپ کتاب,چاپ رایگان کتاب,کتاب مهندسی,کتاب پزشکی,کتاب مدیریت,جیتجو در متن کتاب,دانلود اپلیکیشن کتابخوان","description":null,"firstname":"دکتر","lastname":"بهروز رییسی","token":"d4a9166d186abc22","created_at":"2023-04-16 10:55:35","updated_at":"2023-04-16 10:55:35","national_code":null,"role":"writer"}],"translator_authors":[],"views":0,"e_book":{"id":788280,"file":"643b92a50953f2.41214221.pdf","book_id":3804332,"toc":null,"created_at":"2023-04-16 10:46:05","updated_at":"2023-04-18 15:09:28","process_started_at":"2023-04-16 10:46:07","process_done_at":"2023-04-16 10:46:11","process_failed_at":null,"pages_count":316,"version":"ocr.1.2.2","dir":"rtl","password":"11679efb48eedbaea2d8f4e7f9f1ba78092ffc23b28144142629fdc7eb93852b76c0b56397e195638ec066b8e355d5656aa6a1d814c1fd91e12031e8db74db69","encrypted_data":null,"state":"converting","pages_count_fa":"۳۱۶"},"publisher":{"id":212,"title":"دانشگاه شاهد","description":null,"token":"9735bc9574f4e09c","slug":"shahed"},"study_subjects":[],"titleLink":"%D8%B3%DB%8C%D8%B3%D8%AA%D9%85-%D9%87%D8%A7%DB%8C-%D8%AF%DB%8C%D9%86%D8%A7%D9%85%DB%8C%DA%A9%DB%8C-%D9%88-%D9%86%D8%B8%D8%B1%DB%8C%D9%87-%D8%A2%D8%B4%D9%88%D8%A8","ebook_price_en":50000,"urlify":"%D8%B3%DB%8C%D8%B3%D8%AA%D9%85-%D9%87%D8%A7%DB%8C-%D8%AF%DB%8C%D9%86%D8%A7%D9%85%DB%8C%DA%A9%DB%8C-%D9%88-%D9%86%D8%B8%D8%B1%DB%8C%D9%87-%D8%A2%D8%B4%D9%88%D8%A8","pages_count_fa":"۳۱۶","authorTitle":"دکتر بهروز رییسی","tocStr":"","url":"/preview/803e7a5e2abdefd6/%D8%B3%DB%8C%D8%B3%D8%AA%D9%85-%D9%87%D8%A7%DB%8C-%D8%AF%DB%8C%D9%86%D8%A7%D9%85%DB%8C%DA%A9%DB%8C-%D9%88-%D9%86%D8%B8%D8%B1%DB%8C%D9%87-%D8%A2%D8%B4%D9%88%D8%A8"}

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