Periodic motions with impact chatters in an impact Duffing oscillator

Forced motions for nonlinear problems in mechanics (70K40) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50)

Cites Work

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Local Langlands duality and a duality of conformal field theories
Multiple bifurcation trees of period-1 motions to chaos in a periodically forced, time-delayed, hardening Duffing oscillator
A theory for flow switchability in discontinuous dynamical systems
Period-doubling induced chaotic motion in the LR model of a horizontal impact oscillator
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Discretization and implicit mapping dynamics
Global dynamics of a vibro-impacting linear oscillator
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Periodic Orbits in a Second-Order Discontinuous System with an Elliptic Boundary
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Stable periodic motions of an impact-pair
A Periodically Forced Impact Oscillator With Large Dissipation
The dynamics of repeated impacts with a sinusoidally vibrating table
Dynamical complexities of forced impacting systems
Analytical determination of bifurcations in an impact oscillator
Chattering and related behaviour in impact oscillators
Van der Pol Oscillators Generated from Grazing Dynamics
On infinite homoclinic orbits induced by unstable periodic orbits in the Lorenz system
A Parameter Study on Periodic Motions in a Discontinuous Dynamical System with Two Circular Boundaries
The Dynamical Behaviorof a Two Degrees of Freedom Oblique Impact System
Periodic Flows to Chaos Based on Discrete Implicit Mappings of Continuous Nonlinear Systems
On Existence and Bifurcations of Periodic Motions in Discontinuous Dynamical Systems
Periodic motions and homoclinic orbits in a discontinuous dynamical system on a single domain with multiple vector fields

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