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Poincaré Map Nonlinear Pendulum with Torque

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#ordinary-differential-equations #dynamical-systems #nonlinear-system
241
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Finding Radius and period time of a limit cycle using Melnikov Integration

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#ordinary-differential-equations #dynamical-systems #nonlinear-system
131
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Expressions for system of equations in a neighborhood of the origin, $x' = y+y^2 - 2xy + x^2$, $y'=x+y^2 - 2xy + x^2.$

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#ordinary-differential-equations #manifolds #systems-of-equations #dynamical-systems #nonlinear-system
245
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Integrating an ODE in terms of elliptic functions

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#integration #ordinary-differential-equations #complex-integration #nonlinear-system #elliptic-functions
62
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Why discrete Newton converges faster than ordinary Newton?

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#numerical-methods #computer-science #nonlinear-system
58
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Is the solution to this 2nd order non-linear ODE actually analytic?

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#ordinary-differential-equations #mathematical-modeling #nonlinear-system
38
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How to time integrate a two variable nonlinear differential equation?

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#integration #ordinary-differential-equations #nonlinear-system
199
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Newton iteration converges monotonically

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#analysis #numerical-linear-algebra #nonlinear-system #fixed-point-theorems #newton-raphson
186
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Coupled non-linear ODE

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#ordinary-differential-equations #nonlinear-system
129
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Defining equilibrium points of a 2D system with a variable as an equilibrium

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#dynamical-systems #nonlinear-system #stability-in-odes #stability-theory #fixed-points
16
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Predict parameter influence in a system of equations

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#systems-of-equations #parametric #nonlinear-system
187
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what to do with a system with a repeated zero eigenvalue, where you cannot impose a condition on one of the components of the generalised eigenvector?

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#linear-algebra #ordinary-differential-equations #mathematical-modeling #nonlinear-system #generalized-eigenvector
81
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Solution to a non-linear simultaneous equation

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#calculus #multivariable-calculus #systems-of-equations #nonlinear-system
39
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How to solve this nonlinear triple equation system

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#problem-solving #nonlinear-system
253
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Consider the system $x'=-y-x^2$, $y'=x.$ Find a reversor $S$, identify Fix$(S)$ and show that the origin is a nonlinear center.

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#ordinary-differential-equations #systems-of-equations #dynamical-systems #nonlinear-system #linearization

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