Asymptotic analysis for an extended discrete Lotka–Volterra system related to matrix eigenvalues
DOI10.1080/00036811.2011.631915zbMath1275.37036OpenAlexW1990840706WikidataQ58173542 ScholiaQ58173542MaRDI QIDQ4916337
You Takahashi, Masashi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura, Akiko Fukuda
Publication date: 22 April 2013
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2011.631915
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)
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Cites Work
- Three integrable Hamiltonian systems connected with isospectral deformations
- On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
- Integrable discrete hungry systems and their related matrix eigenvalues
- Center manifold approach to discrete integrable systems related to eigenvalues and singular values
- On the qd-type discrete hungry Lotka-Volterra system and its application to the matrix eigenvalue algorithm
- The Generalized Toda Flow, the QR Algorithm and the Center Manifold Theory
- The discrete hungry Lotka–Volterra system and a new algorithm for computing matrix eigenvalues
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