A NONINTEGRABILITY CRITERION FOR ADIABATIC SYSTEMS
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Publication:5292334
DOI10.1142/S0218127406015702zbMath1140.70007MaRDI QIDQ5292334
Despina Voyatzi, Efi Meletlidou
Publication date: 20 June 2007
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)
Cites Work
- The separation of motions in systems with rapidly rotating phase
- On the accuracy of conservation of the adiabatic invariant
- A criterion for non-integrability based on Poincaré's theorem
- A geometric proof of separatrix crossing results.
- Adiabatic invariance and applications: from molecular dynamics to numerical weather prediction
- A note on adiabatic invariance in Hamiltonian systems depending singularly on the slow time
- Fourier Expansions of Rational Fractions of Elliptic Integrals and Jacobian Elliptic Functions
- A geometric criterion for adiabatic chaos
- On the number of isolating integrals in perturbed Hamiltonian systems with n>or=3 degrees of freedom
- Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic
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