Results 21 to 30 of about 1,158,048 (134)

Switching in Heteroclinic Networks [PDF]

open access: yes, 2016
We study the dynamics near heteroclinic networks for which all eigenvalues of the linearization at the equilibria are real. A common connection and an assumption on the geometry of its incoming and outgoing directions exclude even the weakest forms of ...
Castro, SBSD, Lohse, A
core   +1 more source

First-guess generation of solar sail interplanetary heteroclinic connections [PDF]

open access: yes, 2014
This work deals with the generation of first-guess interplanetary trajectories connecting Libration Point Orbits (LPOs) belonging to different restricted three body problems.
Heiligers, Jeannette   +2 more
core   +2 more sources

Heteroclinic Ratchets in Networks of Coupled Oscillators

open access: yes, 2009
We analyze an example system of four coupled phase oscillators and discover a novel phenomenon that we call a “heteroclinic ratchet”; a particular type of robust heteroclinic network on a torus where connections wind in only one direction.
Peter Ashwin (5040893)   +1 more
core   +4 more sources

Shapley Polygons in 4 x 4 Games

open access: yesGames, 2010
We study 4 x 4 games for which the best response dynamics contain a cycle. We give examples in which multiple Shapley polygons occur for these kinds of games.
Martin Hahn
doaj   +1 more source

Robust sequential working memory recall in heterogeneous cognitive networks

open access: yesFrontiers in Systems Neuroscience, 2014
Psychiatric disorders are often caused by partial heterogeneous disinhibition in cognitive networks, controlling sequential and spatial working memory (SWM).
Mikhail I. Rabinovich   +2 more
doaj   +1 more source

The Contrast Structures for a Class of Singularly Perturbed Systems with Heteroclinic Orbits

open access: yesDiscrete Dynamics in Nature and Society, 2016
Singularly perturbed problems are often used as the models of ecology and epidemiology. In this paper, a class of semilinear singularly perturbed systems with contrast structures are discussed.
Han Xu, Yinlai Jin
doaj   +1 more source

Asymptotic expansion of the heteroclinic bifurcation for the planar normal form of the 1:2 resonance [PDF]

open access: yes, 2016
Agraïments: The first author is partially supported by CAPES and FAPESP. The second author is partially supported by CAPES, CNPq-Brazil, and FAPESP.We consider the family of planar differential systems depending on two real parameters \[ x =y, y = _1 x ...
Da Silva, Paulo R. [UNESP]   +5 more
core   +1 more source

Sliding Motions on Non‐Euclidean State Spaces: A Differential‐Geometric Perspective

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper extends sliding‐mode control theory to nonlinear systems evolving on smooth manifolds. Building on differential geometric methods, we reformulate Filippov's notion of solutions, characterize well‐defined vector fields on quotient spaces, and provide a consistent geometric definition of higher‐order sliding modes.
Fernando Castaños
wiley   +1 more source

The heteroclinic connection problem for general double-well potentials [PDF]

open access: yes, 2014
By variational methods, we provide a simple proof of existence of a heteroclinic orbit to a second order Hamiltonian ODE that connects the two global minima of a double-well potential.
Sourdis, Christos
core  

Creation of single-wing Lorenz-like attractors via a ten-ninths-degree term

open access: yesOpen Physics
In light of the subtle connection between the strange attractors and the degree of dynamical systems, in this study, we propose a new simple asymmetric Lorenz-like system and report the finding of single-wing Lorenz-like attractors, which can also be ...
Pan Jun   +3 more
doaj   +1 more source

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