Fast homoclinic orbits for a class of damped vibration systems
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DOI: 10.1007/s11587-020-00534-4
Abstract: We study the existence of fast homoclinic orbits for the following damped vibration system $$\ddot{u}(t)+q(t)\dot{u}(t)+\nabla V(t,u(t))=0$$ ; where $$q\in C(\mathbb {R},\mathbb {R})$$ and $$V\in C^{1}(\mathbb {R}\times \mathbb {R}^{N},\mathbb {R})$$ is of the type V(t,x)=-K(t,x)+W(t,x). A… read more here.
Keywords: fast homoclinic; mathbb mathbb; homoclinic orbits; damped vibration ... See more keywords
Stabilizing periodic orbits of a class of mechanical systems with impulse effects: A Lyapunov constraint approach
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DOI: 10.1007/s12555-016-0387-x
Abstract: This paper study the stabilization of mechanical system with impulse effects around a hybrid limit cycle, the proposed control approach is based on LaSalle’s invariance principle for hybrid systems and Layounov constraint based method. Theorem… read more here.
Keywords: impulse effects; periodic orbits; constraint; orbits class ... See more keywords
Shadowing orbits of a class of random differential equations
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DOI: 10.1016/j.apnum.2018.10.010
Abstract: Abstract This article focuses on the existence of a true solution near a numerical approximate solution of random differential equations which can generate random dynamical systems. We prove a general finite-time shadowing theorem of random… read more here.
Keywords: random differential; shadowing orbits; orbits class; differential equations ... See more keywords