Continuation of discrete breathers from infinity in a nonlinear model for DNA breathing
DOI10.1080/00036810903437788zbMath1200.37076OpenAlexW1985947582WikidataQ58245930 ScholiaQ58245930MaRDI QIDQ3584657
Cynthia Ferreira, Guillaume James, Antoine Levitt
Publication date: 30 August 2010
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036810903437788
numerical continuationdiscrete breathersbreathers with oscillatory tailscontinuation from infinityPeyrard-Bishop model for DNAresonances with phonons
Periodic solutions to ordinary differential equations (34C25) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Lattice dynamics; integrable lattice equations (37K60) Mathematical biology in general (92B99)
Cites Work
- Breathers in nonlinear lattices: existence, linear stability and quantization
- Centre manifold reduction for quasilinear discrete systems
- Discrete breathers in transient processes and thermal equilibrium
- Anti-integrability in dynamical and variational problems
- Periodic solutions of second order Hamiltonian systems bifurcating from infinity
- Discrete maximum principle for finite-difference operators
- LOCALIZATION OF PERIODIC OSCILLATIONS IN DISCRETE NON-LINEAR SYSTEMS
- Modelling DNA at the mesoscale: a challenge for nonlinear science?
- BREATHERS IN INHOMOGENEOUS NONLINEAR LATTICES: AN ANALYSIS VIA CENTER MANIFOLD REDUCTION
- Modulational instability: first step towards energy localization in nonlinear lattices
- Localized oscillations in conservative or dissipative networks of weakly coupled autonomous oscillators
- Breathers in nonlinear lattices: numerical calculation from the anticontinuous limit
- Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
- Breather$ndash$phonon resonances in finite-size lattices: $lquot$phantom breathers$rquot$?
- Nonlinear dynamics and statistical physics of DNA
- Variational proof for hard discrete breathers in some classes of Hamiltonian dynamical systems.
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