Numerical integration of stochastic contact Hamiltonian systems via stochastic Herglotz variational principle
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DOI: 10.1088/1402-4896/acc984
Abstract: In this work, we establish a stochastic contact variational integrator and its discrete version via stochastic Herglotz variational principle for stochastic contact Hamiltonian systems. A general structure-preserving stochastic contact method is provided to seek the… read more here.
Keywords: via stochastic; stochastic herglotz; contact; herglotz variational ... See more keywords
Fractional Herglotz variational problems with Atangana–Baleanu fractional derivatives
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DOI: 10.1186/s13660-018-1635-9
Abstract: The purpose of this paper is to solve fractional calculus of variational Herglotz problem depending on an Atangana–Baleanu fractional derivative. Since the new Atangana–Baleanu fractional derivative is non-singular and non-local, the Euler–Lagrange equations are proposed… read more here.
Keywords: atangana baleanu; fractional herglotz; fractional derivative; baleanu fractional ... See more keywords
Herglotz's Variational Problem for Non-Conservative System with Delayed Arguments under Lagrangian Framework and Its Noether's Theorem
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DOI: 10.3390/sym12050845
Abstract: Because Herglotz’s variational problem achieves the variational representation of non-conservative dynamic processes, its research has attracted wide attention. The aim of this paper is to explore Herglotz’s variational problem for a non-conservative system with delayed… read more here.
Keywords: system delayed; conservative system; variational problem; delayed arguments ... See more keywords