BIFURCATIONS OF PERIODIC ORBITS AND INTEGRABILITY OF DYNAMICAL SYSTEMS

DOI10.1142/S021812741002774XzbMath1204.37064OpenAlexW2163112433MaRDI QIDQ3069935

Stanisław P. Kasperczuk

Publication date: 2 February 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812741002774x

zbMATH Keywords

periodic solutionsbifurcationintegrabilityHamiltonian systemsmonodromy matrixPoincaré mapHill's equation

Mathematics Subject Classification ID

Related Items (1)

CONNECTING SYMMETRIC AND ASYMMETRIC FAMILIES OF PERIODIC ORBITS IN SQUARED SYMMETRIC HAMILTONIANS

Cites Work

• Unnamed Item
• Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
• A type of second order linear ordinary differential equations with periodic coefficients for which the characteristic exponents have exact expressions
• Integrability of Hamiltonians with third- and fourth-degree polynomial potentials
• Analytical perturbative approach to periodic orbits in the homogeneous quartic oscillator potential
• A list of all integrable two-dimensional homogeneous polynomial potentials with a polynomial integral of order at most four in the momenta

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