List questions from nonlinear-dynamics

Published on 15 Sep 2020 - 8:34

190

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Chaos in duffing equation and universality

Published on 15 Sep 2020 - 12:03

70

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Integrating factor gives only trivial solution to ODE?

Published on 21 Sep 2020 - 22:15

104

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Trajectories approaching an unstable equilibrium point

Published on 30 Sep 2020 - 12:21

275

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Nonlinear second order ODE, first derivative missing

Published on 03 Oct 2020 - 12:25

3.2k

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Differential equation of a central orbit

Published on 06 Oct 2020 - 2:53

56

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Apse divides central orbit into symmetrical portions

Published on 08 Oct 2020 - 5:49

22

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Interpretation about the exchange of energy among oscillators

Published on 25 Mar 2026 - 11:16

117

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Being at an initial condition with zero initial velocity?

Published on 29 Oct 2020 - 4:41

481

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Radius of limit cycle for van der Pol oscillator in the limit of $\varepsilon\ll1$ using Green's Theorem

Published on 25 Mar 2026 - 22:05

60

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How to formulate a second order exponential Runge-Kutta using Butcher's tableaux

Published on 04 Nov 2020 - 18:05

63

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Analytical solution to first order nonlinear ODE

Published on 06 Nov 2020 - 14:29

115

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Consider the vector field on the cylinder given by $\dot \theta=1, \, \dot y=ay$ . Define an appropriate Poincaré map and find a formula for it

Published on 07 Nov 2020 - 20:26

244

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Forced Duffing equation $\ddot x +x+\varepsilon(bx^3+k \dot x+ax−F\cos(t))=0$ bifurcation analysis

Published on 08 Nov 2020 - 23:19

95

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Fixed points and their stability on a non-linear ODE

Published on 09 Nov 2020 - 15:16

List Question

Coordinate transformations for systems of differential equations, the number of which $ \geq 3.$

Chaos in duffing equation and universality

Integrating factor gives only trivial solution to ODE?

Trajectories approaching an unstable equilibrium point

Nonlinear second order ODE, first derivative missing

Differential equation of a central orbit

Apse divides central orbit into symmetrical portions

Interpretation about the exchange of energy among oscillators

Being at an initial condition with zero initial velocity?

Radius of limit cycle for van der Pol oscillator in the limit of $\varepsilon\ll1$ using Green's Theorem

How to formulate a second order exponential Runge-Kutta using Butcher's tableaux

Analytical solution to first order nonlinear ODE

Consider the vector field on the cylinder given by $\dot \theta=1, \, \dot y=ay$ . Define an appropriate Poincaré map and find a formula for it

Forced Duffing equation $\ddot x +x+\varepsilon(bx^3+k \dot x+ax−F\cos(t))=0$ bifurcation analysis

Fixed points and their stability on a non-linear ODE

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