"Historical mechanics" and nonlinear dynamics [PDF]
Izvestiya VUZ. Applied Nonlinear Dynamics, 1997 The paper proposes to develop a new interdisciplinary approach called historical mechanics. This approach is aimed at analyzing not only one realized trajectory of development of any civilization or ethnic group, but also at analyzing the field of possibilities, "virtual trajectories of community development," bifurcation points. The paper introduces a
Georgij Malinetskii
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Acoustic Bubble Sensing Techniques and Bioapplications [PDF]
BiosensorsAcoustic bubbles are emerging as powerful microscale sensors that convert local biochemical and biomechanical cues into measurable signals in a remote, label-free, and clinically compatible manner.
Renjie Ning +3 more
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Evading Quantum Mechanics: Engineering a Classical Subsystem within a Quantum Environment [PDF]
Physical Review X, 2012 Quantum mechanics is potentially advantageous for certain information-processing tasks, but its probabilistic nature and requirement of measurement backaction often limit the precision of conventional classical information-processing devices, such as ...
Mankei Tsang, Carlton M. Caves
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The Statistical Mechanics for an Extended Nonlinear Epigenetic Dynamics. I
Biophysical Journal, 1970 An extension of the control equations discussed by Goodwin is proposed which allows for arbitrary strong coupling and for arbitrary parallel coupling of metabolic pools and genetic loci. It is demonstrated that these generalized control equations can be put into canonical form and further that Liouville's theorem applies.
Warren H. Woolley, Andrew G. De Rocco
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A unified framework for deriving and visualizing soliton solutions in the paraxial nonlinear Schrödinger equation [PDF]
Scientific ReportsThis research investigates the paraxial nonlinear Schrödinger equation commonly used in quantum mechanics, plasma physics, and nonlinear fiber optics.
Ali Al Khabyah +4 more
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Nonlinear Dynamics in Mechanics: State of the Art and Expected Future Developments [PDF]
Journal of Computational and Nonlinear Dynamics, 2022 Giuseppe Rega
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Special Issue of Applied Mechanics Reviews in Collaboration With the Journal of Computational and Nonlinear Dynamics [PDF]
Applied Mechanics Reviews, 2019 Harry Dankowicz +1 more
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Advances in classical and analytical mechanics: A reviews of author’s results [PDF]
Theoretical and Applied Mechanics, 2013 A review, in subjective choice, of author’s scientific results in area of: classical mechanics, analytical mechanics of discrete hereditary systems, analytical mechanics of discrete fractional order system vibrations, elastodynamics, nonlinear ...
Hedrih-Stevanović Katica R.
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Pure Traveling Wave Solutions for Three Nonlinear Fractional Models
Advances in Mathematical Physics, 2021 Three nonlinear fractional models, videlicet, the space-time fractional 1+1 Boussinesq equation, 2+1-dimensional breaking soliton equations, and SRLW equation, are the important mathematical approaches to elucidate the gravitational water wave mechanics,
Qinjun Li +4 more
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Exact solutions of a (3+1)-dimensional nonlinear evolution equation based on its Wronskian form
Partial Differential Equations in Applied Mathematics, 2022 In this paper, the Hirota bilinear method is applied to investigate the exact solutions of a (3+1)-dimensional nonlinear evolution equation. The soliton, breather and lump solutions satisfying specific Wronskian conditions are obtained.
Yaning Tang, Zaijun Liang
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