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

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#ordinary-differential-equations #transformation #nonlinear-system #nonlinear-dynamics
193
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Chaos in duffing equation and universality

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#nonlinear-system #chaos-theory #nonlinear-dynamics
73
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Integrating factor gives only trivial solution to ODE?

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#integration #ordinary-differential-equations #nonlinear-analysis #nonlinear-dynamics
107
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Trajectories approaching an unstable equilibrium point

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #nonlinear-dynamics
278
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Nonlinear second order ODE, first derivative missing

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#ordinary-differential-equations #nonlinear-dynamics
3.2k
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Differential equation of a central orbit

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#ordinary-differential-equations #nonlinear-dynamics
59
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Apse divides central orbit into symmetrical portions

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#analytic-geometry #nonlinear-dynamics
23
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Interpretation about the exchange of energy among oscillators

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#dynamical-systems #mathematical-physics #classical-mechanics #nonlinear-dynamics #celestial-mechanics
120
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Being at an initial condition with zero initial velocity?

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#ordinary-differential-equations #nonlinear-dynamics
482
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Radius of limit cycle for van der Pol oscillator in the limit of $\varepsilon\ll1$ using Green's Theorem

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#ordinary-differential-equations #line-integrals #greens-theorem #nonlinear-dynamics #limit-cycles
63
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How to formulate a second order exponential Runge-Kutta using Butcher's tableaux

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#ordinary-differential-equations #runge-kutta-methods #nonlinear-dynamics
66
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Analytical solution to first order nonlinear ODE

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#ordinary-differential-equations #nonlinear-dynamics
118
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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

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#ordinary-differential-equations #nonlinear-system #nonlinear-dynamics
247
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Forced Duffing equation $\ddot x +x+\varepsilon(bx^3+k \dot x+ax−F\cos(t))=0$ bifurcation analysis

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#ordinary-differential-equations #nonlinear-system #bifurcation #nonlinear-dynamics
98
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Fixed points and their stability on a non-linear ODE

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#ordinary-differential-equations #stability-in-odes #fixed-points #nonlinear-dynamics

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