The appearance of a geometric-type instability in dynamic systems with adiabatically varying parameters

DOI10.1088/0305-4470/32/13/007zbMath0937.34040OpenAlexW2049729678MaRDI QIDQ4258307

Konstantin Y. Bliokh

Publication date: 12 September 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b59dfea251d6e418f4c5defba9aeae4a5b2ff75a

zbMATH Keywords

eigenvaluesdynamic systemshomogeneous ordinary differential equationsadiabatically varying parametersgeometric-type instabilityphysically reversible, continuous energy transferslowly variable coefficients

Mathematics Subject Classification ID

Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Linear ordinary differential equations and systems (34A30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Stability theory for smooth dynamical systems (37C75) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (2)

Geometric amplitude, adiabatic invariants, quantization, and strong stability of Hamiltonian systems ⋮ Adiabatic dynamics of one-dimensional classical Hamiltonian dissipative systems

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