Qualitative Analysis
Very often it is almost impossible to find explicitly of implicitly the solutions of a system (specially nonlinear ones). The qualitative approach as well as numerical one are important since they allow us to make conclusions regardless whether we know or not the solutions. Recall what we did for autonomous equations. First we looked for the equilibrium points and then, in conjunction with the exi
心ç†å¦ã«ãŠã‘る力å¦ç³»ã®ç†è«–ã¨æ–¹æ³•
ç¬¬ï¼‘ç« å¾®åˆ†åŠ›å¦ç³» ã“ã®ç« ã§ã¯ã€å¾®åˆ†åŠ›å¦ç³»ã®å…¥é–€ãƒ¬ãƒ™ãƒ«ã®å†…容ã«ã¤ã„ã¦è¿°ã¹ã‚‹ã€‚微分力å¦ç³»ã¨ã¯ã€å¾®åˆ† 方程å¼ã‚‚ã—ãã¯ãã®çµ„ã«ã‚ˆã‚Šè¨˜è¿°ã•ã‚Œã‚‹ç³»ã‚’ã„ã†ã€‚一般ã«åŠ›å¦ç³»ã§ã¯ã€ç³»ã®çŠ¶æ…‹ã¯ï¼‘ ã¤ãªã„ã—ã¯è¤‡æ•°ã®å¤‰æ•°ï¼ˆã“ã‚Œã¯çŠ¶æ…‹å¤‰æ•° (state variable) ã¨å‘¼ã°ã‚Œã‚‹ï¼‰ã«ã‚ˆã‚Š 記述ã§ãã‚‹ã¨ã®ä»®å®šã«åŸºã¥ãã€ãれら個々ã®å¤‰æ•°ã®å€¤ã®çž¬é–“的変化（数å¦çš„ã«ã¯ã€å„ 変数ã®æ™‚é–“ã«å¯¾ã™ã‚‹ä¸€æ¬¡å°Žé–¢æ•°ã€ã‚ã‚‹ã„ã¯å¾®ä¿‚数）を状態変数ã®é–¢æ•°ã¨ã—ã¦è¡¨ã™ã€‚例㈠ã°ã€çŠ¶æ…‹å¤‰æ•°ãŒï¼‘㤠(例ãˆã° x ) ã§ã€çŠ¶æ…‹å¤‰æ•°ã®é–¢æ•°ãŒ ax ã¨ã„ã†é–¢æ•°ã ã¨ã™ã‚Œ ã°ã€ (1.1) å¼ã®ã‚ˆã†ã«è¡¨ã™ã€‚ ã“ã“ã§ã€çŠ¶æ…‹å¤‰æ•°ãŒ n 個å˜åœ¨ã™ã‚‹ã¨ãã€ãれらã«ã‚ˆã‚Šæ§‹æˆã•ã‚Œã‚‹å¯èƒ½ãªå¤‰æ•°ã® 組 (x1, x2, . . . , xn) ã¯ã€ç³»ã®çŠ¶æ…‹ç©ºé–“ (state space) ã¨å‘¼ã°ã‚Œ る。状態空間ãŒå®Ÿæ•°ç©ºé–“（例ãˆã°ãƒ¦ãƒ¼ã‚¯ãƒªãƒƒãƒ‰ç©ºé–“）ã§ã‚ã‚Œã°ã€å®ŸåŠ›å¦ç³»ã«ãªã‚‹
リリースã€éšœå®³æƒ…å ±ãªã©ã®ã‚µãƒ¼ãƒ“スã®ãŠçŸ¥ã‚‰ã›
最新ã®äººæ°—エントリーã®é…ä¿¡
j次ã®ãƒ–ックマーク
kå‰ã®ãƒ–ックマーク
lã‚ã¨ã§èªã‚€
eコメント一覧を開ã
oページを開ã
The Elowitz Lab at Caltech
Noise in Life 2006
Jordi Garcia-Ojalvo's homepage
{{#tags}}- {{label}}
{{/tags}}