On the first integrals of n-th order autonomous systems
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DOI: 10.1016/j.jmaa.2017.11.016
Abstract: The first integrals of n -th order autonomous systems are considered. By getting integrating factors using n−1 n − 1 first integrals of the systems, a necessary condition on the existence of global first integrals… read more here.
Keywords: integrals order; autonomous systems; order autonomous; first integrals ... See more keywords
Effects of Symmetric and Asymmetric Nonlinearity on the Dynamics of a Third-Order Autonomous Duffing–Holmes Oscillator
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DOI: 10.1155/2020/8891816
Abstract: A generalized third-order autonomous Duffing–Holmes system is proposed and deeply investigated. The proposed system is obtained by adding a parametric quadratic term to the cubic nonlinear term of an existing third-order autonomous Duffing–Holmes system. This… read more here.
Keywords: order; autonomous duffing; system; third order ... See more keywords