Integral of motion and nonlinear dynamics of three Duffing oscillators with weak or strong bidirectional coupling

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Chaos control for problems involving ordinary differential equations (34H10)

Cites Work

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First integrals for two linearly coupled nonlinear Duffing oscillators
Stability by Liapunov's direct method. With applications
Conservation laws of two coupled non-linear oscillators
The behavior of rings of coupled oscillators
Ermakov-Ray-Reid systems with additive noise
Chaos and routes to chaos in coupled Duffing oscillators with multiple degrees of freedom
Ermakov systems with multiplicative noise
The noisy Pais-Uhlenbeck oscillator
An integral of motion for the damped cubic-quintic Duffing oscillator with variable coefficients
The generalized Duffing oscillator
First integrals and analytical solutions of some dynamical systems
Complex networks: structure and dynamics
Boundary control of coupled non-constant parameter systems of time fractional PDEs with different-type boundary conditions
The application of Duffing oscillator in characteristic signal detection of early fault
Non-linear vibration of coupled duffing oscillators by an improved incremental harmonic balance method
Homology and the Nonlinear Heat Diffusion Equation
Second-order differential equations: Conditions of complete integrability
The Ermakov equation: A commentary
Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
Dynamical Noether invariants for time-dependent nonlinear systems
On the Generalized Emden–Fowler Equation
Comment on demystifying the constancy of the Ermakov–Lewis invariant for a time-dependent oscillator
Dynamics of three unidirectionally coupled autonomous Duffing oscillators and application to inchworm piezoelectric motors: Effects of the coupling coefficient and delay
Synchronization
Demystifying the constancy of the Ermakov–Lewis invariant for a time-dependent oscillator
On Lyapunov control of the Duffing equation
Boundary state and output feedbacks for underactuated systems of coupled time-fractional PDEs with different space-dependent diffusivity
Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators

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