aesthetician 发表于 2025-3-28 17:58:40
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https://doi.org/10.1007/978-3-030-16373-0 chaotic nonlinear dynamics in the wake of early studies by the engineer Georg Duffing . The system has been successfully used to model a variety of physical processes such as stiffening springs, beam buckling, nonlinear electronic circuits, superconducting Josephson parametric amplifiers, and io发微光 发表于 2025-3-28 23:57:31
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https://doi.org/10.1007/978-3-662-53871-5e easily handled for further analysis. Such an electronic circuit is a physical system of the real world. It is, however, on account of its electronic nature, also similar to a computing device and, therefore, electronic circuits are also used as analog computers to model more elaborate experimentalgrowth-factor 发表于 2025-3-29 08:10:15
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https://doi.org/10.1007/978-3-662-53871-5tems . where the time derivatives of the canonical coordinates and momenta are given by the partial derivatives of the Hamiltonian. Typically, the right-hand side of these equations is a nonlinear function of the variables .. and .., i.e., (12.1) is a nonlinear dynamical system.invulnerable 发表于 2025-3-29 15:33:00
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Polymineral-Metasomatic CrystallogenesisIn everyday life we feel safer and more comfortable with predictability and determinism: in technically controlled processes, small mechanical forces are expected to cause minor changes; the time-table of trains is hopefully reliable; the motion of the earth and moon around the sun are thought to be regular and stable.