List questions from dynamical-systems

Published on 07 May 2026 - 10:14

604

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

Published on 04 May 2026 - 23:43

69

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

Published on 30 Apr 2026 - 1:49

324

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Question on designing a state observer for discrete time system

Published on 07 May 2026 - 12:43

114

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

Published on 10 May 2026 - 9:45

798

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

Published on 07 May 2026 - 7:38

265

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

Published on 07 May 2026 - 11:33

170

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Including a time delay term for a differential equation

Published on 02 May 2026 - 5:11

364

Views

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

Published on 29 Apr 2026 - 12:18

70

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

Published on 07 May 2026 - 11:34

120

Views

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

Published on 07 May 2026 - 19:38

552

Views

Ergodicity of a skew product

Published on 29 Apr 2026 - 12:22

216

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

Published on 29 Apr 2026 - 12:07

677

Views

Writing Differential equations to describe a system

Published on 07 May 2026 - 7:37

77

Views

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

Published on 07 May 2026 - 12:50

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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