Multipulse Chaotic Dynamics for Nonautonomous Nonlinear Systems and Application to a FGM Plate

DOI10.1142/S0218127414500680zbMath1296.34129MaRDI QIDQ2920775

Wei Zhang, Yuxin Hao, Jun Hua Zhang

Publication date: 29 September 2014

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

extended Melnikov methodFGM platemultipulse chaotic dynamicsnonautonomous nonlinear system

Mathematics Subject Classification ID

Plates (74K20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Nonautonomous smooth dynamical systems (37C60)

Related Items (3)

Resonant Chaotic Dynamics of a Symmetric Cross-Ply Composite Laminated Plate Under Transverse and In-Plane Excitations ⋮ Stability and multi-pulse jumping chaotic vibrations of a rotor-active magnetic bearing system with 16-pole legs under mechanical-electric-electromagnetic excitations ⋮ Coexistence of bistable multi-pulse chaotic motions with large amplitude vibrations in buckled sandwich plate under transverse and in-plane excitations

Cites Work

• A Melnikov method for homoclinic orbits with many pulses
• Large amplitude vibration of thermo-electro-mechanically stressed FGM laminated plates.
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• Routes to chaos in continuous mechanical systems. I: Mathematical models and solution methods
• Complicated nonlinear responses of a simply supported FGM rectangular plate under combined parametric and external excitations
• Global bifurcations and chaotic dynamics in nonlinear nonplanar oscillations of a parametrically excited cantilever beam
• PERIODIC AND CHAOTIC MOTIONS OF FGM THIN PLATE WITH TWO SIMPLY SUPPORTED OPPOSITE AND TWO FREE EDGES
• NONLINEAR RESPONSES OF A STRING-BEAM COUPLED SYSTEM WITH FOUR-DEGREES-OF-FREEDOM AND MULTIPLE PARAMETRIC EXCITATIONS
• SHILNIKOV-TYPE MULTIPULSE ORBITS AND CHAOTIC DYNAMICS OF A PARAMETRICALLY AND EXTERNALLY EXCITED RECTANGULAR THIN PLATE
• THEORIES OF MULTI-PULSE GLOBAL BIFURCATIONS FOR HIGH-DIMENSIONAL SYSTEMS AND APPLICATION TO CANTILEVER BEAM
• Multi-bump orbits homoclinic to resonance bands
• Three-dimensional thermomechanical deformations of functionally graded rectangular plates

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