Response solutions for forced systems with large dissipation and arbitrary frequency vectors
From MaRDI portal
Publication:2968438
DOI10.1063/1.4976500zbMath1406.70032arXiv1606.06878OpenAlexW2469247602MaRDI QIDQ2968438
Publication date: 13 March 2017
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.06878
Periodic solutions to ordinary differential equations (34C25) Forced motions for nonlinear problems in mechanics (70K40) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Dynamics induced by flows and semiflows (37C10) Singular perturbations for ordinary differential equations (34E15)
Related Items (7)
Response solutions for strongly dissipative quasi-periodically forced systems with arbitrary nonlinearities and frequencies ⋮ The existence of almost periodic response solutions for superlinear Duffing's equations ⋮ Completely degenerate responsive tori in Hamiltonian systems ⋮ Parabolic invariant tori in quasi-periodically forced skew-product maps ⋮ Response Solutions to Quasi-Periodically Forced Systems, Even to Possibly Ill-Posed PDEs, with Strong Dissipation and any Frequency Vectors ⋮ Stoker's Problem for Quasi-periodically Forced Reversible Systems with Multidimensional Liouvillean Frequency ⋮ Forced quasi-periodic oscillations in strongly dissipative systems of any finite dimension
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Construction of response functions in forced strongly dissipative systems
- Periodic solutions of a singularly perturbed differential system with applications to the Belousov-Zhabotinskii reaction
- Bifurcation and chaos in discontinuous and continuous systems
- Bounded and almost periodic solutions of singularly perturbed equations
- Globally and locally attractive solutions for quasi-periodically forced systems
- Singularities and groups in bifurcation theory. Volume I
- Almost periodic differential equations
- On the existence and stability of bounded almost periodic and periodic solutions of a singularly perturbed nonautonomous system
- New method for large quasiperiodic nonlinear oscillations with fixed frequencies for the nondissipative second type Duffing equation
- Almost periodic properties of ordinary differential equations
- Almost periodic solutions of singularity perturbed systems of differential equations
- The existence of almost periodic solutions of certain perturbation systems
- Construction of quasi-periodic response solutions in forced strongly dissipative systems
- Quasi-periodic motions in strongly dissipative forced systems
- Summation of divergent series and Borel summability for strongly dissipative differential equations with periodic or quasiperiodic forcing terms
- Quasiperiodic attractors, Borel summability and the Bryuno condition for strongly dissipative systems
- PERIODIC SOLUTIONS AND SLOW MANIFOLDS
- Quasiperiodic motions in dynamical systems: Review of a renormalization group approach
- Forced quasiperiodic and almost periodic oscillations of nonlinear duffing equations
- Forced quasiperiodic and almost periodic solution for nonlinear systems
- Convergent series for quasi-periodically forced strongly dissipative systems
- On limit cycles in systems of differential equations with a small parameter in the highest derivatives
- Domains of analyticity for response solutions in strongly dissipative forced systems
This page was built for publication: Response solutions for forced systems with large dissipation and arbitrary frequency vectors