The Melnikov Method and Subharmonic Orbits in a Piecewise-Smooth System

From MaRDI portal
Publication:4904525

DOI10.1137/110850359zbMath1262.37028arXiv1201.5475OpenAlexW2041192585MaRDI QIDQ4904525

No author found.

Publication date: 30 January 2013

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5475



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (32)

Stability and perturbations of generalized heteroclinic loops in piecewise smooth systemsQuasi-periodic solutions and homoclinic bifurcation in an impact inverted pendulumHeteroclinic bifurcation in a class of planar piecewise smooth systems with multiple zonesThe Melnikov criterion of instability for random rocking of a rigid block with a fractional derivative elementSubharmonic Melnikov method of four-dimensional non-autonomous systems and application to a rectangular thin plateThe Melnikov method of heteroclinic orbits for a class of planar hybrid piecewise-smooth systems and applicationFrequency and amplitude identification of weak signal based on the limit system of smooth and discontinuous oscillatorNear Tangent Dynamics in a Class of Hamiltonian Impact SystemsMelnikov-type method for chaos in a class of hybrid piecewise-smooth systems with impact and noise excitation under unilateral rigid constraintGlobal dynamics for a class of tristable system with negative stiffnessSub-harmonic Melnikov function for a high-dimensional non-smooth coupled systemSubharmonic Bifurcation for a Nonsmooth OscillatorImpact limit cycles in the planar piecewise linear hybrid systemsBeltrami fields with hyperbolic periodic orbits enclosed by knotted invariant toriMelnikov theory for a class of planar hybrid systemsStudy of Periodic Orbits in Periodic Perturbations of Planar Reversible Filippov Systems Having a Twofold CycleHeteroclinic Chaotic Threshold in a Nonsmooth System with Jump DiscontinuitiesBifurcation Analysis in a Class of Piecewise Nonlinear Systems with a Nonsmooth Heteroclinic LoopSingular cycles and chaos in a new class of 3D three-zone piecewise affine systemsThe scattering map in two coupled piecewise-smooth systems, with numerical application to rocking blocksGlobal effect of non-conservative perturbations on homoclinic orbitsHomoclinic bifurcation in a quasiperiodically excited impact inverted pendulumLimit cycles of continuous and discontinuous piecewise-linear differential systems in \(\mathbb{R}^3\)The Melnikov method for detecting chaotic dynamics in a planar hybrid piecewise-smooth system with a switching manifoldThe Period Adding and Incrementing Bifurcations: From Rotation Theory to ApplicationsSuppressing homoclinic chaos for a weak periodically excited non-smooth oscillatorMelnikov Method for a Three-Zonal Planar Hybrid Piecewise-Smooth System and ApplicationMelnikov Method for a Class of Planar Hybrid Piecewise-Smooth SystemsGlobal Analysis on a Discontinuous Dynamical SystemChaotic threshold of a class of hybrid piecewise-smooth system by an impulsive effect via Melnikov-type functionSubharmonic resonance and chaos for a class of vibration isolation system with two pairs of oblique springsBifurcations of a generalized heteroclinic loop in a planar piecewise smooth system with periodic perturbations




This page was built for publication: The Melnikov Method and Subharmonic Orbits in a Piecewise-Smooth System