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Reconfiguring smart structures using approximate heteroclinic connections [PDF]
, 2017 The term smart structures is commonly used to describe structures which have the ability to actively change their geometry or mechanical properties. Potential applications can be found in the aerospace, energy and marine sectors, e.g.
Zhang, Jiaying
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Heteroclinic Connections in the Kuramoto-Sivashinsky Equation: a Computer Assisted Proof
Reliable Computing, 1997The authors investigate the system of differential equations \(\dot x_0= x_1\), \(\dot x_1= x_2\), \(\dot x_2= -\lambda x_1- 0,5x^2_0+ 1\) with parameter \(\lambda\) (for \(\lambda=1\) this system can be considered as a finite-dimensional approximation of the Kuramoto-Sivashinsky equation, well known from the nonlinear theory of hydrodynamical ...
Marian Mrozek, Marcin Zelawski
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Geometry of Basins of Attraction and Heteroclinic Connections in Coupled Bistable Systems
International Journal of Bifurcation and Chaos, 2014The fundamental principle of bistability is widely used across various disciplines, including biology, chemistry, mechanics, physics, electronics and materials science. As the need for more powerful, efficient and sensitive complex-engineered systems grow, networks of coupled bistable systems have gained significant attention in recent years. Modeling
Daniel Lyons +4 more
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Dynamics of heteroclinic tangles with an unbroken saddle connection
Nonlinear Dynamics, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, F. J., Han, M. A.
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The break-up of a heteroclinic connection in a volume preserving mapping
Physica D: Nonlinear Phenomena, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rom-Kedar, Vered +3 more
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Heteroclinic connections in a realistic model of laser sustained plasma
Nonlinear Analysis: Theory, Methods & Applications, 1997The paper is devoted to the proof of the existence of travelling wave solutions to the equations of a two temperature model describing laser sustained plasma. Previously [\textit{B. Kaźmierczak} and \textit{Z. Peradzyński}, Math. Methods Appl. Sci. 19, No.
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Identification of Intermittent Ordered Patterns as Heteroclinic Connections
Physical Review Letters, 1996, Stone, , Gorman, , el-Hamdi, , Robbins
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Construction of Heteroclinic Connections Between Quasi-Periodic Orbits in the Three-Body Problem
Journal of the Astronautical Sciences, 2023Kathleen Howell, Brian Patrick McCarthy
exaly
Heteroclinic connections and Dirichlet problems for a nonlocal functional of oscillation type
Annali Di Matematica Pura Ed Applicata, 2021Enrico Valdinoci +2 more
exaly