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Numerical versus analytical conditions for chaos, using the example of the Duffing oscillator. (English) Zbl 1160.65350
Summary: A numerical technique (based on solving a boundary value problem) is used to trace a route to chaos via period doubling, and to obtain the parameter set of sudden transition to chaos. Results are compared with those found by approximate analytical methods.
MSC:
65P20Numerical chaos
37D45Strange attractors, chaotic dynamics
34C28Complex behavior, chaotic systems (ODE)
70K55Transition to stochasticity (chaotic behavior)