Dynamic perturbation analysis of fractional order differential quasiperiodic Mathieu equation
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Publication:6553642
DOI10.1063/5.0163991zbMath1546.34015MaRDI QIDQ6553642
Wei Shi, Fuqiang Zhao, Xiaoning Huang, Shuai Zhu, Jiaquan Xie, Jianhua Yang, Meiru Wan, Jun Zhang
Publication date: 11 June 2024
Published in: Chaos (Search for Journal in Brave)
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Fractional derivatives and integrals (26A33) Perturbations of ordinary differential equations (34D10) Fractional ordinary differential equations (34A08)
Cites Work
- Primary resonance of Duffing oscillator with fractional-order derivative
- Opial type inequalities involving Riemann-Liouville fractional derivatives of two functions with applications
- Recent applications of fractional calculus to science and engineering
- Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations
- Lyapunov conditions for finite-time stability of time-varying time-delay systems
- Bifurcation and resonance of fractional cubic nonlinear system
- An analytical method for Mathieu oscillator based on method of variation of parameter
- Melnikov method and detection of chaos for non-smooth systems
- Approximate analytical solution in slow-fast system based on modified multi-scale method
- A generalization of truncated M-fractional derivative and applications to fractional differential equations
- A new dissipation model based on memory mechanism
- Transition Curves for the Quasi-Periodic Mathieu Equation
- Chaos detection of Duffing system with fractional-order derivative by Melnikov method
- Stability and Performance for Saturated Systems via Quadratic and Nonquadratic Lyapunov Functions
- Chaotic and hyperchaotic attractors of a complex nonlinear system
- Resonance and bifurcation of fractional quintic Mathieu-Duffing system
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