List questions from dynamical-systems

Published on 17 Mar 2026 - 16:16

593

Views

Stability of stationary point $O(0,0)$ when eigenvalues are zero

Published on 21 Mar 2026 - 6:16

60

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Determine $ \ a_{\max} \ $ and $ \ a_{\min} \ $ so that the above difference equation is well-defined.

Published on 22 Mar 2026 - 11:11

312

Views

Question on designing a state observer for discrete time system

Published on 18 Mar 2026 - 21:53

105

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How to analyze a dynamical system when $t\to\infty?$

Published on 22 Mar 2026 - 7:44

785

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The system $x' = h(y), \space y' = ay + g(x)$ has no periodic solutions

Published on 20 Mar 2026 - 4:46

256

Views

Existence of unique limit cycle for $r'=r(μ-r^2), \space θ' = ρ(r^2)$

Published on 20 Mar 2026 - 0:01

159

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Including a time delay term for a differential equation

Published on 23 Mar 2026 - 23:47

357

Views

Doubts in proof of topologically transitive + dense periodic points = Devaney Chaotic

Published on 22 Mar 2026 - 13:07

61

Views

Condition for symmetric part of $A$ for $\|x(t)\|$ monotonically decreasing ($\dot{x} = Ax(t)$)

Published on 19 Mar 2026 - 19:10

110

Views

Stability of a nonlinear ODE system (only existence of the limit)

Published on 19 Mar 2026 - 20:38

542

Views

Ergodicity of a skew product

Published on 20 Mar 2026 - 11:09

207

Views

Deriving inequality from a Lyapunov test of $x' = -x + y^3, \space y' = -y + ax^3$

Published on 20 Mar 2026 - 1:35

665

Views

Writing Differential equations to describe a system

Published on 24 Mar 2026 - 10:11

67

Views

Map a closed function $f: (1,4) \rightarrow (1,4)$ without fixed point

Published on 22 Mar 2026 - 7:19

List Question

Stability of system of parameters $\kappa, \lambda$ when there is a zero eigenvalue

Stability of stationary point $O(0,0)$ when eigenvalues are zero

Determine $ \ a_{\max} \ $ and $ \ a_{\min} \ $ so that the above difference equation is well-defined.

Question on designing a state observer for discrete time system

How to analyze a dynamical system when $t\to\infty?$

The system $x' = h(y), \space y' = ay + g(x)$ has no periodic solutions

Existence of unique limit cycle for $r'=r(μ-r^2), \space θ' = ρ(r^2)$

Including a time delay term for a differential equation

Doubts in proof of topologically transitive + dense periodic points = Devaney Chaotic

Condition for symmetric part of $A$ for $\|x(t)\|$ monotonically decreasing ($\dot{x} = Ax(t)$)

Stability of a nonlinear ODE system (only existence of the limit)

Ergodicity of a skew product

Deriving inequality from a Lyapunov test of $x' = -x + y^3, \space y' = -y + ax^3$

Writing Differential equations to describe a system

Map a closed function $f: (1,4) \rightarrow (1,4)$ without fixed point

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