Matrix-second order differential equations and chaotic Hamiltonian systems

DOI10.1007/BF00945813zbMath0688.58028OpenAlexW2049383267MaRDI QIDQ1263853

Jean-Pierre Françoise, Alessandra Celletti

Publication date: 1989

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00945813

zbMATH Keywords

chaosstrange attractorsperturbationsbifurcation theoryLax pairharmonic flow

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Non-integrable Hamiltonian systems and the Heun equation

Cites Work

• Unnamed Item
• Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
• Non-integrability of the truncated Toda lattice Hamiltonian at any order
• Hamiltonian group actions and dynamical systems of calogero type
• Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]