TY - JOUR
T1 - Nonlinear Hamiltonian systems and exponential asymptotics for the adiabatic invariants
AU - Hu, Jishan
PY - 1999/3
Y1 - 1999/3
N2 - In this paper, for a symmetric nonlinear oscillator, we show that to the leading order, the adiabatic invariant is equivalent to the quantity y'(0), where y is a family of adiabatically symmetric solutions. The leading order of the latter quantity can be obtained by exponential asymptotic analysis. This method for finding the adiabatic invariant can be used to other oscillators. AMS (MOS) subject classification: 34A34, 34C15, 34E15, 81Q20.
AB - In this paper, for a symmetric nonlinear oscillator, we show that to the leading order, the adiabatic invariant is equivalent to the quantity y'(0), where y is a family of adiabatically symmetric solutions. The leading order of the latter quantity can be obtained by exponential asymptotic analysis. This method for finding the adiabatic invariant can be used to other oscillators. AMS (MOS) subject classification: 34A34, 34C15, 34E15, 81Q20.
UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000079973800023
M3 - Journal Article
SN - 1201-3390
VL - 5
SP - 261
EP - 270
JO - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
JF - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
ER -