Application of high-order difference methods for the study of period doubling bifurcations in nonlinear oscillators (Q1919379)
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scientific article; zbMATH DE number 908329
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Application of high-order difference methods for the study of period doubling bifurcations in nonlinear oscillators |
scientific article; zbMATH DE number 908329 |
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Application of high-order difference methods for the study of period doubling bifurcations in nonlinear oscillators (English)
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13 October 1996
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The numerical solution of a periodic nonlinear differential equation of Duffing's type is studied. A high-order difference scheme is developed. This scheme in combination with the Newton method is used for the numerical solution of the differential equation in order to determine approximate solutions. A Runge-Kutta-Hŭta method is also used to determine the solution of the variational equations. Numerical results show that the application of the above method in order to study bifurcations in several nonlinear oscillators is successful.
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period doubling bifurcations
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Duffing systems
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bifurcation
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Feigenbaum relation
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chaos
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numerical results
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periodic nonlinear differential equation
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difference scheme
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Newton method
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Runge-Kutta-Hŭta method
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nonlinear oscillators
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0.88808954
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0.8874278
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0.8829198
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0.88135266
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