Chaotic Dynamics of Piezoelectric MEMS Based on Maximum Lyapunov Exponent and Smaller Alignment Index Computations
From MaRDI portal
Publication:5120520
DOI10.1142/S0218127420300256zbMath1450.37083arXiv1912.08315MaRDI QIDQ5120520
No author found.
Publication date: 15 September 2020
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.08315
Dynamical systems in solid mechanics (37N15) Electromagnetic effects in solid mechanics (74F15) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65)
Cites Work
- Unnamed Item
- Hamiltonian control used to improve the beam stability in particle accelerator models
- Chaos detection and predictability
- Complex Hamiltonian dynamics. With a foreword by Sergej Flach
- Detecting chaos in fractional-order nonlinear systems using the smaller alignment index
- Geometrical properties of local dynamics in Hamiltonian systems: the generalized alignment index (GALI) method
- The complete synchronization condition in a network of piezoelectric micro-beams
- Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
- Regular and chaotic dynamics.
- Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits
- The relative Lyapunov indicator: an efficient method of chaos detection
- Sensitivity tools vs. Poincaré sections
- Some remarks on quantum mechanics in a curved spacetime, especially for a Dirac particle
- Interplay between chaotic and regular motion in a time-dependent barred galaxy model
- PAINTING CHAOS: A GALLERY OF SENSITIVITY PLOTS OF CLASSICAL PROBLEMS
- Alignment indices: a new, simple method for determining the ordered or chaotic nature of orbits
- PROBING THE LOCAL DYNAMICS OF PERIODIC ORBITS BY THE GENERALIZED ALIGNMENT INDEX (GALI) METHOD
- CHAOTIC DYNAMICS OF N-DEGREE OF FREEDOM HAMILTONIAN SYSTEMS
- Hamiltonian statistical mechanics
- The phase space structure around \(L_4\) in the restricted three-body problem
- On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool
- On the relationship between fast Lyapunov indicator and periodic orbits for symplectic mappings
This page was built for publication: Chaotic Dynamics of Piezoelectric MEMS Based on Maximum Lyapunov Exponent and Smaller Alignment Index Computations
