Renormalization-group analysis for the transition to chaos in Hamiltonian systems
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Publication:1348790
DOI10.1016/S0370-1573(01)00094-1zbMath0994.70013MaRDI QIDQ1348790
H. R. Jauslin, Cristel Chandre
Publication date: 14 May 2002
Published in: Physics Reports (Search for Journal in Brave)
Dynamical systems in classical and celestial mechanics (37N05) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)
Related Items (14)
Numerical Computation of Critical Surfaces for the Breakup of Invariant Tori in Hamiltonian Systems ⋮ Renormalization-group analysis for the transition to chaos in Hamiltonian systems ⋮ Computation of the breakdown of analyticity in statistical mechanics models: Numerical results and a renormalization group explanation ⋮ A remark on the onset of resonance overlap ⋮ On a new fixed point of the renormalization group operator for area-preserving maps ⋮ Renormalization group operators for maps and universal scaling of universal scaling exponents ⋮ Reducing or enhancing chaos using periodic orbits ⋮ Existence of critical invariant tori ⋮ Renormalization and destruction of 1/γ2 tori in the standard nontwist map ⋮ A renormalization group approach to quasiperiodic motion with Brjuno frequencies ⋮ Control of chaos in Hamiltonian systems ⋮ The critical renormalization fixed point for commuting pairs of area-preserving maps ⋮ Renormalization of vector fields and Diophantine invariant tori ⋮ A study on the statistical properties of the prime numbers using the classical and superstatistical random matrix theories
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