From constants of motion to superposition rules for Lie–Hamilton systems
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Publication:2851174
DOI10.1088/1751-8113/46/28/285203zbMath1284.34014arXiv1305.6272OpenAlexW2026932050MaRDI QIDQ2851174
José F. Cariñena, Francisco J. Herranz, Cristina Sardón, Ángel Ballesteros, Javier de Lucas
Publication date: 10 October 2013
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.6272
Riccati equationssuperposition rulesErmakov systemsKummer-Schwarz equationsLie-Hamilton systemsPoisson coalgebraSmorodinsky-Winternitz systems
Geometric methods in ordinary differential equations (34A26) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)
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