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起止时间:2019-12-20到2020-04-10
更新状态:已完结
Introduction to the course,ODE(I) 第一章 单元测试
1、 What is the order of the following ODE?
A:1
B:2
C:3
D:4
答案: 1
2、 What is the order of the following ODE?
A:1
B:2
C:3
D:4
答案: 2
3、 What is the order of the following ODE?
A:1
B:2
C:3
D:4
答案: 2
4、 Is the following ODE autonomous?
A:正确
B:错误
答案: 正确
5、 Is the following ODE autonomous?
A:正确
B:错误
答案: 错误
6、 Is the following ODE autonomous?
A:正确
B:错误
答案: 正确
7、 For the following ODE systems, is the given point a critical point?(0,0) in 
A:正确
B:错误
答案: 正确
8、 For the following ODE systems, is the given point a critical point?(0,1) in 
A:正确
B:错误
答案: 错误
9、 For the following ODE systems, is the given point a critical point?(0,0,0) in 
A:正确
B:错误
答案: 正确
10、 Are functioning{ 
} linearly independent?
A:正确
B:错误
答案: 正确
11、 Does 
form a basis for the space 
?
A:正确
B:错误
答案: 正确
ODE (II) 第二章 单元测试
1、 For the equation 
,we take 
, then Picard iteration gives 
as follows, check out the correct one.
A:
B:
C:
D:
答案:
2、 
，不动点包括：
A:0
B:1
C:2
D:3
答案: 0;
1
ODE (III) 第三章 单元测试
1、 The system 
has a critical point:
A:(0,0)
B:(0,1)
C:(1,0)
D:(1,1)
答案: (0,1)
2、 For the system , the critical point is a ()
A:source
B:sink
C:focus
D:saddle
答案: saddle
3、 In the Duffing equation, the following function is constant along each trajectory 
A:
B:
C:
D:
答案:
4、 If we rewrite Duffing equation as 
A:no center
B:one center
C:one saddle
D:two saddle points
答案: one center;
two saddle points
ODE(IV) 第四章 单元测试
1、 
can be recast into two different ODE systems as follows:
is a/an node for (1) and a/an node for (2).
A:stable,stable
B:stable,unstable
C:unstable,stable
D:unstable,unstable
答案: unstable,unstable
2、 
, ___ is a Lyapunov function.
A:
B:
C:
D:
答案:
3、 There can be a critical point on homoclinic orbit.
A:正确
B:错误
答案: 正确
分析：Saddle
4、 There can be a critical point on limit cycle.
A:正确
B:错误
答案: 错误
ODE(V) 第五章 单元测试
1、 For 
, it undergoes a ____ bifurcation when 
varies.
A:saddle-node
B:transcritical
C:supercritical
D:none
答案: saddle-node
2、 For 
, it undergoes a ____ bifurcation when 
varies.
A:saddle-node
B:transcritical
C:supercritical
D:none
答案: transcritical
3、 For the Lorenz system
, 
. The critical point 
is ____ for 
A:always stable
B:always unstable
C:stability depends on 
D:stability depends on 
答案: always stable
4、 The linearization of the Lorenz system at the origin reads
,
.Is 
a Lyapunov function?
A:True
B:False
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