Studying Davydov's ODE model of wave motion in \(\alpha \)-helix protein using exactly energy-momentum conserving discretizations for Hamiltonian systems

DOI10.1016/j.matcom.2010.11.017zbMath1348.39006OpenAlexW2068522522MaRDI QIDQ446036

Brenton J. LeMesurier

Publication date: 28 August 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2010.11.017

zbMATH Keywords

Hamiltonian systemsnonlinear wave equationsconservative time discretizationsprotein energetics

Mathematics Subject Classification ID

Hamilton's equations (70H05) Biophysics (92C05) Discrete version of topics in analysis (39A12)

Related Items (2)

Continuum approximations for pulses generated by impulsive initial data in binary exciton chain systems ⋮ On the quantum dynamics of Davydov solitons in protein \(\alpha\)-helices

Cites Work

• Unnamed Item
• Conservative, unconditionally stable discretization methods for Hamiltonian equations, applied to wave motion in lattice equations modeling protein molecules
• On a class of spatial discretizations of equations of the nonlinear Schrödinger type
• Derivation of the discrete conservation laws for a family of finite difference schemes
• On a class of discretizations of Hamiltonian nonlinear partial differential equations
• Time integration and discrete Hamiltonian systems
• Nonlinear differential−difference equations
• Nonlinear differential–difference equations and Fourier analysis
• Geometric integration using discrete gradients
• The Vibrational Structure of Davydov Solitons
• Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
• Geometric Numerical Integration

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