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Can someone help to solve a non-linear ODE using the Runge-Kutta method?

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#complex-analysis #numerical-methods #nonlinear-analysis #runge-kutta-methods #nonlinear-dynamics
249
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Discrete-time dynamical systems with variable state space dimensions (or output space dimensions)

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#discrete-mathematics #dynamical-systems #topological-vector-spaces #nonlinear-dynamics #discrete-time
49
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book reference: beginner book on nonlinear pdes with phase transitions in reaction-diffusion systems

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#partial-differential-equations #reference-request #numerical-methods #nonlinear-dynamics
195
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Phase portrait of $\ddot{x} + \sin(x)=0$ near the origin.

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#ordinary-differential-equations #dynamical-systems #nonlinear-dynamics
43
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What is the name of this PDE $\partial_t u = F(u) - \mathcal{L}_{\mathcal{V}}u$?

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#partial-differential-equations #nonlinear-dynamics #lie-derivative
189
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Omega limit set of a dynamical systems is equilibrium points

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#ordinary-differential-equations #dynamical-systems #nonlinear-dynamics
148
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Convergence to locally stable equilibria

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#ordinary-differential-equations #dynamical-systems #vector-fields #nonlinear-dynamics
166
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Are there any known results on the uniqueness of solution of an optimal control problem?

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#control-theory #optimal-control #nonlinear-dynamics
32
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disambiguating the idea of a "fixed point" in nonlinear odes versus numerical analysis

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#numerical-methods #definition #dynamical-systems #roots #nonlinear-dynamics
766
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Why do we need to linearize a non-linear system before we can use it for modeling

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#control-theory #jacobian #nonlinear-dynamics #linearization
114
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long term behavior of solution to a first order nonlinear differential equation

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#ordinary-differential-equations #stability-in-odes #nonlinear-dynamics #bifurcation
66
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Inequality of a linearized function

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#functional-analysis #ordinary-differential-equations #dynamical-systems #nonlinear-dynamics #mean-value-theorem
232
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Trying to find a flexible function that models non-exponential decay and does not converge to zero

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#functions #hyperbolic-functions #nonlinear-dynamics
108
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Long term behavior of a nonlinear dynamic system

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#recurrence-relations #finite-differences #stability-theory #nonlinear-dynamics
255
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Runge-kutta fourth order for 3 coupled second order equations.

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#numerical-methods #stability-in-odes #runge-kutta-methods #nonlinear-dynamics

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