Subharmonic Melnikov method of four-dimensional non-autonomous systems and application to a rectangular thin plate
From MaRDI portal
Publication:327516
DOI10.1007/s11071-015-2184-0zbMath1348.37028OpenAlexW953025354MaRDI QIDQ327516
Publication date: 19 October 2016
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-015-2184-0
Plates (74K20) Topological dynamics of nonautonomous systems (37B55) Averaging of perturbations for nonlinear problems in mechanics (70K65)
Related Items (8)
Subharmonic bifurcation for a non-smooth double pendulum with unilateral impact ⋮ Sub-harmonic Melnikov function for a high-dimensional non-smooth coupled system ⋮ Bifurcation of multiple periodic solutions for a class of nonlinear dynamical systems in \((m+4)\)-dimension ⋮ Chaotic dynamics and subharmonic bifurcations of current‐carrying conductors subjected to harmonic excitation ⋮ Resonant Chaotic Dynamics of a Symmetric Cross-Ply Composite Laminated Plate Under Transverse and In-Plane Excitations ⋮ Double excitation multi-stability and multi-pulse chaotic vibrations of a bistable asymmetric laminated composite square panels under foundation force ⋮ Stability and multi-pulse jumping chaotic vibrations of a rotor-active magnetic bearing system with 16-pole legs under mechanical-electric-electromagnetic excitations ⋮ Bifurcation and number of subharmonic solutions of a \(2n\)-dimensional non-autonomous system and its application
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bifurcation set and number of limit cycles in \(Z_{2}\)-equivariant planar vector fields of degree 5
- A study of nonlinear dynamic equations of higher-order shear deformation plate theories
- Bifurcation of periodic solutions and invariant tori for a four-dimensional system
- Periodic and chaotic dynamics of composite laminated piezoelectric rectangular plate with one-to-two internal resonance
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Bifurcations of limit cycles forming compound eyes in the cubic system
- Global bifurcations and chaos. Analytical methods
- Orbits homoclinic to resonances, with an applications to chaos in a model of the forced and damped sine-Gordon equation
- A Melnikov method for homoclinic orbits with many pulses
- Lyapunov-Schmidt reductions and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators
- Bifurcations of a thin plate-strip excited transversally and axially
- On the parametric vibrations and meshless discretization of orthotropic plates with complex shape
- Second-order approximation of angle-ply composite laminated thin plate under combined excitations
- Application of the subharmonic Melnikov method to piecewise-smooth systems
- Periodic and homoclinic motions in forced, coupled oscillators
- Multi-pulse chaotic motions of high-dimension nonlinear system for a laminated composite piezoelectric rectangular plate
- Stick-slip chaos detection in coupled oscillators with friction
- NONLINEAR VIBRATIONS OF RECTANGULAR LAMINATED COMPOSITE PLATES WITH DIFFERENT BOUNDARY CONDITIONS
- Harmonic Balance, Melnikov method and nonlinear oscillators under resonant perturbation
- BIFURCATION CURVES OF SUBHARMONIC SOLUTIONS AND MELNIKOV THEORY UNDER DEGENERACIES
- BIFURCATION OF MULTIPLE LIMIT CYCLES FOR A ROTOR-ACTIVE MAGNETIC BEARINGS SYSTEM WITH TIME-VARYING STIFFNESS
- Periodic Orbits in Slowly Varying Oscillators
- Multi-bump orbits homoclinic to resonance bands
- The Melnikov Method and Subharmonic Orbits in a Piecewise-Smooth System
- The Melnikov Theory for Subharmonics and Their Bifurcations in Forced Oscillations
This page was built for publication: Subharmonic Melnikov method of four-dimensional non-autonomous systems and application to a rectangular thin plate
