Nonexistence of Periodic Orbits for Forced–Damped Potential Systems in Bounded Domains
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DOI: 10.1007/s00332-020-09607-y
Abstract: We prove $$L^r$$ L r -estimates on periodic solutions of periodically forced, linearly damped mechanical systems with polynomially bounded potentials. The estimates are applied to obtain a nonexistence result of periodic solutions in bounded domains,… read more here.
Keywords: damped potential; bounded domains; forced damped; orbits forced ... See more keywords
Approximate Analytical and Numeric Solutions to a Forced Damped Gardner Equation
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DOI: 10.1155/2022/3240918
Abstract: In this paper, some exact traveling wave solutions to the integrable Gardner equation are reported. The ansatz method is devoted for deriving some exact solutions in terms of Jacobi and Weierstrass elliptic functions. The obtained… read more here.
Keywords: equation; forced damped; numeric solutions; damped gardner ... See more keywords