Branched Hamiltonians and time translation symmetry breaking in equations of the Liénard type

DOI10.1142/S0217732319502638zbMath1423.81106arXiv1904.11225OpenAlexW2964662403WikidataQ114073182 ScholiaQ114073182MaRDI QIDQ5237198

Anindya Ghose Choudhury, Partha Guha

Publication date: 17 October 2019

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.11225

zbMATH Keywords

position-dependent massJacobi last multipliermulti-valued Hamiltonianstime translation symmetry breaking

Mathematics Subject Classification ID

Symmetry breaking in quantum theory (81R40) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Cites Work

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• Chiellini integrability condition, planar isochronous systems and Hamiltonian structures of Liénard equation
• On the period function of \(x^{\prime\prime}+f(x)x^{\prime2}+g(x)=0\)
• Strange Lagrangian systems and statistical mechanics
• THE JACOBI LAST MULTIPLIER AND ISOCHRONICITY OF LIÉNARD TYPE SYSTEMS
• On isochronous cases of the Cherkas system and Jacobi's last multiplier
• Quantization of the Liénard II equation and Jacobi’s last multiplier
• Branched Hamiltonians and supersymmetry

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