Passage through a separatrix in a resonance problem with a slowly-varying parameter
From MaRDI portal
Publication:1237588
DOI10.1016/0021-8928(75)90060-XzbMath0356.70020OpenAlexW2068284380MaRDI QIDQ1237588
Publication date: 1975
Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8928(75)90060-x
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (43)
A mechanism for capture into resonance ⋮ Asymptotic analysis of the model of gyromagnetic autoresonance ⋮ Logarithmic correction to the probability of capture for dissipatively perturbed Hamiltonian systems ⋮ Adiabatic invariants, diffusion and acceleration in rigid body dynamics ⋮ Asymptotic behaviour of measure for captured trajectories into parametric autoresonance ⋮ The capture of a particle into resonance at potential hole with dissipative perturbation ⋮ Stability of autoresonance models ⋮ Adiabatic approximation for a model of cyclotron motion ⋮ New approach to beating phenomenon in coupled nonlinear oscillatory chains ⋮ Random perturbations of parametric autoresonance ⋮ Topological adiabatic dynamics in classical mass-spring chains with clamps ⋮ Conditions for convergent migration of \(N\)-planet systems ⋮ Conditions for Phase Locking and Dephasing of Autoresonant Pumping ⋮ Response enhancement in an oscillator chain ⋮ Trapping (\textit{capture}) into resonance and scattering on resonance: summary of results for space plasma systems ⋮ An analytically treatable model of long-term dynamics in a mean motion resonance with coexisting resonant modes ⋮ Oscillations near a separatrix in the Duffing equation ⋮ A geometric proof of separatrix crossing results. ⋮ Adiabatic approximation in a resonance capture problem ⋮ Capture and holding of resonance far from equilibrium ⋮ Autoresonance in weakly dissipative Klein-Gordon chains ⋮ Separatrix Crossing in Rotation of a Body with Changing Geometry of Masses ⋮ Slow passage through a transcritical bifurcation for Hamiltonian systems and the change in action due to a nonhyperbolic homoclinic orbit ⋮ Slow crossing of a stochastic layer ⋮ Uniform asymptotics of the elliptic sine ⋮ On the role of high order resonances in normal forms and in separatrix splitting ⋮ Slow crossing of a stochastic layer ⋮ Probability phenomena due to separatrix crossing ⋮ Multi-bump, self-similar, blow-up solutions of the Ginzburg-Landau equation ⋮ Existence theorems and estimates of solutions for equations of principal resonance ⋮ Scattering of trajectories at a separatrix under autoresonance ⋮ Dynamics of linear oscillator coupled to strongly nonlinear attachment with multiple states of equilibrium ⋮ Stable periodic motions in the problem on passage through a separatrix ⋮ Design of Mechanical Energy Pumping Devices ⋮ Optimal control of motions of a bifilar pendulum ⋮ Jumps of energy near a homoclinic set of a slowly time dependent Hamiltonian system ⋮ Diffusion limit for a slow-fast standard map ⋮ Autoresonant asymptotics in an oscillating system with weak dissipation ⋮ Resonant dynamics in a rotordynamic system with nonlinear inertial coupling and shaft anisotropy ⋮ Anatolii Iserovish Neishtadt ⋮ Parametric control of oscillations and rotations of a compound pendulum (a swing) ⋮ On the motion of Chaplygin's sphere on a horizontal plane ⋮ A commentary ``On the periodic solutions of a forced second-order equation by S. P. Hastings and J. B. McLeod
Cites Work
This page was built for publication: Passage through a separatrix in a resonance problem with a slowly-varying parameter