快慢型Lorenz系统的非线性动力学研究.PDF

( ) 绗 鍗风 鏈 瑗 鍗 澶 瀛 瀛︽姤 鑷劧绉戝鐗 骞 鏈 锛擄紬 锛 銆€銆€銆€銆€銆€銆€銆€銆€銆€ 銆€銆€銆€銆€銆€銆€銆€銆€銆€銆€銆€锛掞紣锛戯紩 锛 ( ) Vol矶帮紦锛椼€€No矶帮紬 JournalofSouthwestUniversit NaturalScienceEdition Jul矶般€€锛掞紣锛戯紩 y : / DOI 锛戯紣矶帮紤锛擄紬锛戯紭 矶癱nki矶皒dzk矶帮紥锛愶紤锛曧栋锛愶紬矶帮紣锛戯紬 j 蹇參鍨婰orenz绯荤粺鐨勯潪绾挎€у姩鍔涘鐮旂┒鈶 锛 锛 锛 锛 寮 鍕 , 浠樻湪浜 , 寮犱粯鑷 , 鑸掓案褰 銆€ 銆€ 銆€ 銆€ , ; 锛戫栋娌冲崡宸ヤ笟鑱屼笟鎶€鏈闄 鍩虹鏁欏閮 娌冲崡 鍗楅槼 锛旓紬锛擄紣锛愶紣 , ; , 锛掜栋閲嶅簡宸ュ晢澶у 鏁板涓庣粺璁″闄 閲嶅簡 锛旓紣锛愶紣锛栵紬 锛擁栋閲嶅簡澶у 鏁板涓庣粺璁″闄 閲嶅簡 锛旓紣锛戯紦锛擄紤 : 銆 , 鎽樿 鍩轰簬Launov鍑芥暟绋冲畾鎬х悊璁虹爺绌朵簡蹇參鍨婰orenz绯荤粺鐨勫钩琛＄偣 鍏ㄥ眬鎸囨暟鍚稿紩闆嗙瓑闂 杩涜浜嗚绠楁満 yp , 妯℃嫙 楠岃瘉浜嗙悊璁鸿绠楃殑姝ｇ‘鎬т笌鍙鎬э紟 : ; ; ; 鍏 閿 璇 绯荤粺 绋冲畾鎬 骞宠　鐐 鏈夌晫鎬 銆€ 銆€ Lorenz Launov yp 涓浘鍒嗙被鍙耳 鏂囩尞鏍囧織鐮? 鏂囩珷缂栧彿: ( ) O锛旓紤锛曧栋锛曘€€銆€銆€銆€ A銆€銆€銆€銆€ 锛戯紪锛楋紦 锛欙紭锛栵紭锛掞紣锛戯紩锛愶紬 锛愶紤锛戯紬 锛愶紩 [ ] 锛 锛 锛 銆 銆 娣锋矊绯荤粺鍦ㄩ潪绾挎€х數璺 娣锋矊淇濆瘑閫氫俊 鍥惧儚鍔犲瘑涓湁鐫€闈炲父閲嶈鐨勫簲鐢 锛庢贩娌岀郴缁熺殑鍏ㄥ眬鍚稿紩 () , 鍩熸槸鐮旂┒娣锋矊绯荤粺鐨勪竴涓噸瑕佹柟鍚 鏈枃鐮旂┒浜嗕竴绫诲揩鎱 娣锋矊绯荤粺 鐨勬渶缁堟湁鐣岄泦鍜屽叏灞€鍚稿紩闆 锛 Lorenz 锛 ()