平面多项式系统中的一维流阵列和分岔（英文版）
定价：￥199.00
作者： 罗朝俊
出版社：高等教育出版社
- 高等教育出版社
- 9787040652789
- 1版
- 47266502-5
- 特殊
- 600
- 理学
- 物理学类
- 物理类
- 本科 研究生及以上
目录
目录
前辅文
1 Constant and Self-Variable Polynomial Systems
1.1 Constant and Self-Variable Polynomial Vector Fields
1.2 Proof of Theorem 1.1
1.3 Singular Source, Sink, and Saddle Flows
1.3.1 (2m1+1)th Order Source and Sink Flows and Arrays
1.3.2 (2m1)th Order Upper and Lower-Saddle Flows and Arrays
1.3.3 Singular Flow Arrays with Total (2m1+1)th Degree
2 Constant and Crossing-Variable Polynomial Systems
2.1 Constant and Crossing-Variable Polynomial Vector Fields
2.2 Proof of Theorem 2.1
2.3 Singular Parabola and Inflection Flows
2.3.1 (2m1+1)th Order Parabola Flows and Arrays
2.3.2 (2m1)th Order Inflection Flows and Arrays
2.3.3 Singular Flow Arrays with Total (2m1+1)th Degree
3 Single-Univariate Polynomial Systems
3.1 Single-Variable Polynomial Vector Fields
4 Proof of Theorem 3.1
4.1 Singular 1-dimensional Flows and Bifurcations
4.2 Singular 1-dimensional Flow Arrays
4.3 Simple 1-dimensional Flow Arrays and Switching
4.4 Appearing and Switching Bifurcations
5 Higher-Order Infinite-Equilibrium Bifurcations
5.1 Infinite-Equilibriums for ((2m1+1), (2n1+1))-Systems
5.2 Infinite-Equilibriums for ((2m1+1), (2n1))-Systems
5.3 Infinite-Equilibriums for ((2m1), (2n1+1))-Systems
5.4 Infinite-Equilibriums for ((2m1), (2n1))-Systems
Index
前辅文
1 Constant and Self-Variable Polynomial Systems
1.1 Constant and Self-Variable Polynomial Vector Fields
1.2 Proof of Theorem 1.1
1.3 Singular Source, Sink, and Saddle Flows
1.3.1 (2m1+1)th Order Source and Sink Flows and Arrays
1.3.2 (2m1)th Order Upper and Lower-Saddle Flows and Arrays
1.3.3 Singular Flow Arrays with Total (2m1+1)th Degree
2 Constant and Crossing-Variable Polynomial Systems
2.1 Constant and Crossing-Variable Polynomial Vector Fields
2.2 Proof of Theorem 2.1
2.3 Singular Parabola and Inflection Flows
2.3.1 (2m1+1)th Order Parabola Flows and Arrays
2.3.2 (2m1)th Order Inflection Flows and Arrays
2.3.3 Singular Flow Arrays with Total (2m1+1)th Degree
3 Single-Univariate Polynomial Systems
3.1 Single-Variable Polynomial Vector Fields
4 Proof of Theorem 3.1
4.1 Singular 1-dimensional Flows and Bifurcations
4.2 Singular 1-dimensional Flow Arrays
4.3 Simple 1-dimensional Flow Arrays and Switching
4.4 Appearing and Switching Bifurcations
5 Higher-Order Infinite-Equilibrium Bifurcations
5.1 Infinite-Equilibriums for ((2m1+1), (2n1+1))-Systems
5.2 Infinite-Equilibriums for ((2m1+1), (2n1))-Systems
5.3 Infinite-Equilibriums for ((2m1), (2n1+1))-Systems
5.4 Infinite-Equilibriums for ((2m1), (2n1))-Systems
Index
前辅文
1 Constant and Self-Variable Polynomial Systems
1.1 Constant and Self-Variable Polynomial Vector Fields
1.2 Proof of Theorem 1.1
1.3 Singular Source, Sink, and Saddle Flows
1.3.1 (2m1+1)th Order Source and Sink Flows and Arrays
1.3.2 (2m1)th Order Upper and Lower-Saddle Flows and Arrays
1.3.3 Singular Flow Arrays with Total (2m1+1)th Degree
2 Constant and Crossing-Variable Polynomial Systems
2.1 Constant and Crossing-Variable Polynomial Vector Fields
2.2 Proof of Theorem 2.1
2.3 Singular Parabola and Inflection Flows
2.3.1 (2m1+1)th Order Parabola Flows and Arrays
2.3.2 (2m1)th Order Inflection Flows and Arrays
2.3.3 Singular Flow Arrays with Total (2m1+1)th Degree
3 Single-Univariate Polynomial Systems
3.1 Single-Variable Polynomial Vector Fields
4 Proof of Theorem 3.1
4.1 Singular 1-dimensional Flows and Bifurcations
4.2 Singular 1-dimensional Flow Arrays
4.3 Simple 1-dimensional Flow Arrays and Switching
4.4 Appearing and Switching Bifurcations
5 Higher-Order Infinite-Equilibrium Bifurcations
5.1 Infinite-Equilibriums for ((2m1+1), (2n1+1))-Systems
5.2 Infinite-Equilibriums for ((2m1+1), (2n1))-Systems
5.3 Infinite-Equilibriums for ((2m1), (2n1+1))-Systems
5.4 Infinite-Equilibriums for ((2m1), (2n1))-Systems
Index
前辅文
1 Constant and Self-Variable Polynomial Systems
1.1 Constant and Self-Variable Polynomial Vector Fields
1.2 Proof of Theorem 1.1
1.3 Singular Source, Sink, and Saddle Flows
1.3.1 (2m1+1)th Order Source and Sink Flows and Arrays
1.3.2 (2m1)th Order Upper and Lower-Saddle Flows and Arrays
1.3.3 Singular Flow Arrays with Total (2m1+1)th Degree
2 Constant and Crossing-Variable Polynomial Systems
2.1 Constant and Crossing-Variable Polynomial Vector Fields
2.2 Proof of Theorem 2.1
2.3 Singular Parabola and Inflection Flows
2.3.1 (2m1+1)th Order Parabola Flows and Arrays
2.3.2 (2m1)th Order Inflection Flows and Arrays
2.3.3 Singular Flow Arrays with Total (2m1+1)th Degree
3 Single-Univariate Polynomial Systems
3.1 Single-Variable Polynomial Vector Fields
4 Proof of Theorem 3.1
4.1 Singular 1-dimensional Flows and Bifurcations
4.2 Singular 1-dimensional Flow Arrays
4.3 Simple 1-dimensional Flow Arrays and Switching
4.4 Appearing and Switching Bifurcations
5 Higher-Order Infinite-Equilibrium Bifurcations
5.1 Infinite-Equilibriums for ((2m1+1), (2n1+1))-Systems
5.2 Infinite-Equilibriums for ((2m1+1), (2n1))-Systems
5.3 Infinite-Equilibriums for ((2m1), (2n1+1))-Systems
5.4 Infinite-Equilibriums for ((2m1), (2n1))-Systems
Index
