On some cases, the Lorenz Equations (e.g. when σ = 0) it would admit analytical solutions for some given special cases.
But, somehow, "Would it be actually possible to obtain an analytical solution for a given dynamical system, which has been proven to be Chaotical (i.e. at least one Lyapunov > 0) ?"
Minvydas Ragulskis
Popular answer
The answer is No. But you may take a look at:
Clocking convergence to a stable limit cycle of a periodically driven nonlinear pendulum. CHAOS 22, 033138 (2012)
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Ghasem Sadeghi Bajestani
there is not any globally analytical solution for chaotic systems
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Minvydas Ragulskis
The answer is No. But you may take a look at:
Clocking convergence to a stable limit cycle of a periodically driven nonlinear pendulum. CHAOS 22, 033138 (2012)
3 votes
2 thanks
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