Response solutions for degenerate reversible harmonic oscillators with zero-average perturbation
From MaRDI portal
Publication:6063339
DOI10.1007/s10114-023-1539-6MaRDI QIDQ6063339
Xinyu Guan, Jian-guo Si, Wen Si
Publication date: 7 November 2023
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Symmetries, invariants of ordinary differential equations (34C14) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)
Cites Work
- Unnamed Item
- Unnamed Item
- Construction of response solutions for two classes of quasi-periodically forced four-dimensional nonlinear systems with degenerate equilibrium point under small perturbations
- Resonant tori of arbitrary codimension for quasi-periodically forced systems
- Degenerate lower dimensional tori in reversible systems
- Oscillator synchronisation under arbitrary quasi-periodic forcing
- A KAM theorem for hyperbolic-type degenerate lower dimensional tori in Hamiltonian systems
- Degenerate lower dimensional invariant tori in reversible system
- Completely degenerate lower-dimensional invariant tori for Hamiltonian system
- On a quasi-periodic Hopf bifurcation
- Quasi-periodic response solutions in forced reversible systems with Liouvillean frequencies
- Response solutions in degenerate oscillators under degenerate perturbations
- Whiskered tori for forced beam equations with multi-dimensional Liouvillean frequency
- Quasi-periodic bifurcations in reversible systems
- Degenerate lower-dimensional tori in Hamiltonian systems
- Construction of quasi-periodic response solutions in forced strongly dissipative systems
- Response solutions for quasi-periodically forced harmonic oscillators
- Quasi-periodic motions in strongly dissipative forced systems
- On the persistence of degenerate lower-dimensional tori in reversible systems
- Degenerate lower-dimensional tori under the Bryuno condition
- THE QUASI-PERIODIC REVERSIBLE HOPF BIFURCATION
- Stoker's Problem for Quasi-periodically Forced Reversible Systems with Multidimensional Liouvillean Frequency
- Completely degenerate lower-dimensional invariant tori in reversible systems
- Completely degenerate responsive tori in Hamiltonian systems
- Dynamic Response of Linear Mechanical Systems
- Forced quasi-periodic oscillations in strongly dissipative systems of any finite dimension
- Combination tones for Duffing's equation
- Quasi-periodic solutions of nonlinear ordinary differential equations with small damping
This page was built for publication: Response solutions for degenerate reversible harmonic oscillators with zero-average perturbation