The scientist’s investigation covers issues in Quantum mechanics, Breather, Nonlinear system, Mathematical analysis and Standard map. His work deals with themes such as Quasiperiodic function, Condensed matter physics and Mathematical physics, which intersect with Quantum mechanics. His Breather research includes elements of Phonon, Acceptor, Wave function and Instability.
As part of his studies on Nonlinear system, Serge Aubry frequently links adjacent subjects like Classical mechanics. His work on Class, Bounded function and Boundary value problem as part of general Mathematical analysis study is frequently linked to Bernoulli scheme, bridging the gap between disciplines. The study incorporates disciplines such as Lyapunov function and Golden ratio in addition to Standard map.
His main research concerns Quantum mechanics, Breather, Condensed matter physics, Nonlinear system and Phonon. His Breather study incorporates themes from Linear stability, Classical mechanics, Hamiltonian, Anharmonicity and Coupling. Serge Aubry has included themes like Hamiltonian system and Mathematical physics in his Hamiltonian study.
His research investigates the connection between Condensed matter physics and topics such as Adiabatic process that intersect with issues in Charge density wave. His Nonlinear system research includes themes of Quasiperiodic function, Mathematical analysis, Amplitude, Energy and Statistical physics. His work in the fields of Phonon, such as Phonon scattering, overlaps with other areas such as Coupling.
Quantum mechanics, Nonlinear system, Electron transfer, Breather and Cantor set are his primary areas of study. His Quantum mechanics research focuses on Quantum, Wave packet, Anharmonicity, Phonon and Ionic bonding. His studies in Nonlinear system integrate themes in fields like Amplitude, Statistical physics and Torus.
His study in Amplitude is interdisciplinary in nature, drawing from both Manifold and Energy. Serge Aubry combines subjects such as Hamiltonian and Quasiperiodic function with his study of Statistical physics. Serge Aubry performs integrative Breather and Transient research in his work.
His scientific interests lie mostly in Nonlinear system, Torus, Statistical physics, Cantor set and Kolmogorov–Arnold–Moser theorem. Serge Aubry studies Nonlinear system, namely Breather. His Torus research integrates issues from Second moment of area and Quantum mechanics.
His research in Statistical physics intersects with topics in Mathematical proof, Quasiperiodic function and Linear stability. His work deals with themes such as Amplitude, Manifold and Energy, which intersect with Quasiperiodic function. Among his Cantor set studies, there is a synthesis of other scientific areas such as Lyapunov exponent, Mathematical analysis, Initial value problem, Schrödinger equation and Nonlinear Schrödinger equation.
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Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
R S MacKay;S Aubry.
Nonlinearity (1994)
Breathers in nonlinear lattices: existence, linear stability and quantization
Serge Aubry.
Physica D: Nonlinear Phenomena (1997)
The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
S. Aubry;P.Y. Le Daeron.
Physica D: Nonlinear Phenomena (1983)
The twist map, the extended Frenkel-Kontorova model and the devil's staircase
Serge Aubry.
Physica D: Nonlinear Phenomena (1983)
Breathers in nonlinear lattices: numerical calculation from the anticontinuous limit
J L Marín;S Aubry.
Nonlinearity (1996)
Critical behaviour at the transition by breaking of analyticity in the discrete Frenkel-Kontorova model
M Peyrard;S Aubry.
Journal of Physics C: Solid State Physics (1983)
A unified approach to the interpretation of displacive and order–disorder systems. I. Thermodynamical aspect
S. Aubry.
Journal of Chemical Physics (1975)
Breather Mobility in Discrete φ 4 Nonlinear Lattices
Ding Chen;S. Aubry;G. P. Tsironis.
Physical Review Letters (1996)
Absence of wave packet diffusion in disordered nonlinear systems.
G. Kopidakis;S. Komineas;S. Flach;S. Aubry.
Physical Review Letters (2008)
Devil's staircase and order without periodicity in classical condensed matter
S. Aubry.
Journal De Physique (1983)
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