Knowledge (XXG)

Node (autonomous system)

Source 📝

117: 80: 51: 158: 177: 182: 151: 17: 144: 56: 30: 124: 27:
Each path converges to the or away from the critical point (dependent of the underlying equation) as
98: 128: 101:, Differential equations with applications and historical notes, Second edition, pp. 447–448. 171: 82:). Furthermore, each path approaches the point asymptotically through a line. 116: 132: 59: 33: 74: 45: 152: 8: 24:if the following conditions are satisfied: 159: 145: 58: 32: 91: 75:{\displaystyle t\rightarrow -\infty } 7: 113: 111: 46:{\displaystyle t\rightarrow \infty } 131:. You can help Knowledge (XXG) by 69: 40: 14: 115: 178:Ordinary differential equations 63: 37: 1: 20:around a critical point is a 183:Mathematical analysis stubs 199: 110: 18:linear autonomous system 127:–related article is a 76: 47: 125:mathematical analysis 77: 48: 57: 31: 16:The behaviour of a 72: 43: 140: 139: 99:George F. Simmons 190: 161: 154: 147: 119: 112: 102: 96: 81: 79: 78: 73: 52: 50: 49: 44: 198: 197: 193: 192: 191: 189: 188: 187: 168: 167: 166: 165: 108: 106: 105: 97: 93: 88: 55: 54: 29: 28: 12: 11: 5: 196: 194: 186: 185: 180: 170: 169: 164: 163: 156: 149: 141: 138: 137: 120: 104: 103: 90: 89: 87: 84: 71: 68: 65: 62: 42: 39: 36: 13: 10: 9: 6: 4: 3: 2: 195: 184: 181: 179: 176: 175: 173: 162: 157: 155: 150: 148: 143: 142: 136: 134: 130: 126: 121: 118: 114: 109: 100: 95: 92: 85: 83: 66: 60: 34: 25: 23: 19: 133:expanding it 122: 107: 94: 26: 21: 15: 172:Categories 86:References 70:∞ 67:− 64:→ 41:∞ 38:→ 53:(or as 123:This 129:stub 22:node 174:: 160:e 153:t 146:v 135:. 61:t 35:t

Index

linear autonomous system
George F. Simmons
Stub icon
mathematical analysis
stub
expanding it
v
t
e
Categories
Ordinary differential equations
Mathematical analysis stubs

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.